2506:, vol. 21, no. 3 (Summer 1999), 51–63: A careful reading of Table 3 shows that although Erdos never wrote jointly with any of the 42 medalists (a fact perhaps worthy of further contemplation)... there are many other important international awards for mathematicians. Perhaps the three most renowned...are the Rolf Nevanlinna Prize, the Wolf Prize in Mathematics, and the Leroy P. Steele Prizes. ... Again, one may wonder why KAPLANSKY is the only recipient of any of these prizes who collaborated with Paul Erdös. (After this paper was written, collaborator Lovász received the Wolf prize, making 2 in all).
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632:
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1412:) 405571 (temporarily designated 2005 QE87) was formally named "Erdőspál" to commemorate Erdős, with the citation describing him as "a Hungarian mathematician, much of whose work centered around discrete mathematics. His work leaned towards solving previously open problems, rather than developing or exploring new areas of mathematics." The naming was proposed by "K. Sárneczky, Z. Kuli" (Kuli being the asteroid's discoverer).
486:. Except for some years in the 1950s, when he was not allowed to enter the United States based on the accusation that he was a Communist sympathizer, his life was a continuous series of going from one meeting or seminar to another. During his visits, Erdős expected his hosts to lodge him, feed him, and do his laundry, along with anything else he needed, as well as arrange for him to get to his next destination.
1202:) bet him $ 500 that he could not stop taking them for a month. Erdős won the bet, but complained that it impacted his performance: "You've showed me I'm not an addict. But I didn't get any work done. I'd get up in the morning and stare at a blank piece of paper. I'd have no ideas, just like an ordinary person. You've set mathematics back a month." After he won the bet, he promptly resumed his use of
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and basic needs; money left over he used to fund cash prizes for proofs of "Erdős's problems" (see above). He would typically show up at a colleague's doorstep and announce "my brain is open", staying long enough to collaborate on a few papers before moving on a few days later. In many cases, he would ask the current collaborator about whom to visit next.
59:
1111:
himself), while his immediate collaborators could claim an Erdős number of 1, their collaborators have Erdős number at most 2, and so on. Approximately 200,000 mathematicians have an assigned Erdős number, and some have estimated that 90 percent of the world's active mathematicians have an Erdős number smaller than 8 (not surprising in light of the
700:; Erdős published more papers, mostly in collaboration with other mathematicians, while Euler published more pages, mostly by himself. Erdős wrote around 1,525 mathematical articles in his lifetime, mostly with co-authors. He strongly believed in and practiced mathematics as a social activity, having 511 different collaborators in his lifetime.
3311:
In his own words, "I'm not qualified to say whether or not God exists. I kind of doubt He does. Nevertheless, I'm always saying that the SF has this transfinite Book that contains the best proofs of all mathematical theorems, proofs that are elegant and perfect...You don't have to believe in God, but
1110:
Because of his prolific output, friends created the Erdős number as a tribute. An Erdős number describes a person's degree of separation from Erdős himself, based on their collaboration with him, or with another who has their own Erdős number. Erdős alone was assigned the Erdős number of 0 (for being
473:
Because he was Jewish, Erdős decided
Hungary was dangerous and left the country, relocating to the United States in 1938. Many members of Erdős's family, including two of his aunts, two of his uncles, and his father, died in Budapest during World War II. His mother was the only one that survived. He
391:
during 1914–1920, causing his mother to have to work long hours to support their household. His father had taught himself
English while in captivity, but mispronounced many words. When Lajos later taught his son to speak English, Paul learned his father's pronunciation, which he continued to use for
1185:
to people in need and various worthy causes. He spent most of his life traveling between scientific conferences, universities and the homes of colleagues all over the world. He earned enough in stipends from universities as a guest lecturer, and from various mathematical awards, to fund his travels
627:
at the time, Erdős could have chosen to remain in the country. Instead, he packed up and left, albeit requesting reconsideration from the U.S. Immigration
Services at periodic intervals. At some point he moved to live in Israel, and was given a position for three months at the Hebrew University in
2286:
With a heavy heart I feel that I have to sever my connections with the
University of Waterloo, including resigning my honorary degree which I received from the University in 1981 (which caused me great pleasure). I was very upset by the treatment of Professor Adrian Bondy. I do not maintain that
335:
Erdős published around 1,500 mathematical papers during his lifetime, a figure that remains unsurpassed. He firmly believed mathematics to be a social activity, living an itinerant lifestyle with the sole purpose of writing mathematical papers with other mathematicians. He was known both for his
837:
called him "the absolute monarch of problem posers". Throughout his career, Erdős would offer payments for solutions to unresolved problems. These ranged from $ 25 for problems that he felt were just out of the reach of the current mathematical thinking (both his and others) up to $ 10,000 for
395:
He taught himself to read through mathematics texts that his parents left around in their home. By the age of five, given a person's age, he could calculate in his head how many seconds they had lived. Due to his sisters' deaths, he had a close relationship with his mother, with the two of them
1197:
into theorems", and Erdős drank copious quantities; this quotation is often attributed incorrectly to Erdős, but Erdős himself ascribed it to Rényi. After his mother's death in 1971 he started taking antidepressants and amphetamines, despite the concern of his friends, one of whom
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is 3. As of 2015, approximately 11,000 mathematicians have an Erdős number of 2 or less. Collaboration distances will necessarily increase over long time scales, as mathematicians with low Erdős numbers die and become unavailable for collaboration. The
516:
I want to be giving a lecture, finishing up an important proof on the blackboard, when someone in the audience shouts out, 'What about the general case?'. I'll turn to the audience and smile, 'I'll leave that to the next generation,' and then I'll keel
3340:
I kind of doubt He . Nevertheless, I'm always saying that the SF has this transfinite Book ... that contains the best proofs of all theorems, proofs that are elegant and perfect.... You don't have to believe in God, but you should believe in the
1118:
Several studies have shown that leading mathematicians tend to have particularly low Erdős numbers. For example, the roughly 268,000 mathematicians with a known Erdős number have a median value of 5. In contrast, the median Erdős number of
2040:
The full quote is "Note the pair of long accents on the "ő," often (even in Erdos's own papers) by mistake or out of typographical necessity replaced by "ö," the more familiar German umlaut which also exists in
Hungarian.", from
743:, and for personally stimulating mathematicians the world over". In contrast, the works of the three winners after were recognized as "outstanding", "classic", and "profound", and the three before as "fundamental" or "seminal".
478:
in
Princeton at the time. However, his fellowship at Princeton only got extended by 6 months rather than the expected year due to Erdős not conforming to the standards of the place; they found him "uncouth and unconventional".
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was the (informal) administrator of solutions, and a solver could receive either an original check signed by Erdős before his death (for memento only, cannot be cashed) or a cashable check from Graham. British mathematician
782:. However, the circumstances leading up to the proofs, as well as publication disagreements, led to a bitter dispute between Erdős and Selberg. Erdős also contributed to fields in which he had little real interest, such as
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658:. Although Hungary limited the freedom of its own citizens to enter and exit the country, in 1956 it gave Erdős the exclusive privilege of being allowed to enter and exit the country as he pleased.
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with other mathematicians and physicists. He invited Erdős to join the project, but the invitation was withdrawn when Erdős expressed a desire to return to
Hungary after the war.
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838:
problems that were both difficult to attack and mathematically significant. Some of these problems have since been solved, including the most lucrative – Erdős's conjecture on
4321:
1702:
719:(the highest mathematical prize available during his lifetime), nor did he coauthor a paper with anyone who did, a pattern that extends to other prizes. He did win the 1983/84
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During the last decades of his life, Erdős received at least fifteen honorary doctorates. He became a member of the scientific academies of eight countries, including the U.S.
3835:
845:
There are thought to be at least a thousand remaining unsolved problems, though there is no official or comprehensive list. The offers remained active despite Erdős's death;
383:, were high school mathematics teachers. His fascination with mathematics developed early. He was raised partly by a German governess because his father was held captive in
409:
4719:
1221:
had written down the best and most elegant proofs for mathematical theorems. Lecturing in 1985 he said, "You don't have to believe in God, but you should believe in
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Possessions meant little to Erdős; most of his belongings would fit in a suitcase, as dictated by his itinerant lifestyle. Awards and other earnings were generally
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665:
granted Erdős a visa, and he resumed teaching at and traveling to
American institutions. Ten years later, in 1973, the 60-year-old Erdős voluntarily left Hungary.
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2287:
Professor Bondy was innocent, but in view of his accomplishments and distinguished services to the
University I feel that 'justice should be tempered with mercy.'
858:
677:
216:
4704:
2244:
1143:, who co-authored with Erdős. Goffman published his observations about Erdős's prolific collaboration in a 1969 article titled "And what is your Erdős number?"
347:
called him "The
Oddball's Oddball". He devoted his waking hours to mathematics, even into his later years—indeed, his death came at a mathematics conference in
1523:
4774:
4694:
2178:
4744:
669:
1391:
4779:
4754:
1225:." He himself doubted the existence of God. He playfully nicknamed him the SF (for "Supreme Fascist"), accusing him of hiding his socks and Hungarian
1115:). Due to collaborations with mathematicians, many scientists in fields such as physics, engineering, biology, and economics also have Erdős numbers.
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2843:
2788:
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1421:
131:
324:. Much of his work centered around discrete mathematics, cracking many previously unsolved problems in the field. He championed and contributed to
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states that "his place in the 20th-century mathematical pantheon is a matter of some controversy because he resolutely concentrated on particular
2298:
288:; 26 March 1913 – 20 September 1996) was a Hungarian mathematician. He was one of the most prolific mathematicians and producers of mathematical
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when he was 17 after winning a national examination. At the time, admission of Jews to Hungarian universities was severely restricted under the
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Described by his biographer, Paul Hoffman, as "probably the most eccentric mathematician in the world," Erdős spent most of his adult life
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In his mathematical style, Erdős was much more of a "problem solver" than a "theory developer" (see "The Two Cultures of Mathematics" by
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1995:
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Erdős signed his name "Paul Erdos P.G.O.M." When he became 60, he added "L.D.", at 65 "A.D.", at 70 "L.D." (again), and at 75 "C.D."
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1941:
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awarded them honorary degrees on the same day. Erdős numbers have also been proposed for an infant, a horse, and several actors.
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If true, it would solve several other open problems in number theory (although one main implication of the conjecture, that the
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A very large number of results and conjectures (more than 1,500 articles), and a very large number of coauthors (more than 500)
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1300:
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4102:
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455:
211:
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1125:
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on dimension theory, his fellowship was not continued, and Erdős was forced to take positions as a wandering scholar at
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475:
328:, which studies the conditions in which order necessarily appears. Overall, his work leaned towards solving previously
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4644:
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4516:
4415:
4313:
2558:
1476:
1453: – theorem that an 𝑛-vertex graph that does not have a simple cycle of length 2𝑘 can only have O(𝑛¹⁺¹ꜘᵏ) edges
826:
577:
2248:
1635:
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3208:
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589:
564:, England, to be a guest lecturer. In 1938, he accepted his first American position as a scholarship holder at the
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624:
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196:
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763:
431:
337:
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912:
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Quotable Atheist: Ammunition for Nonbelievers, Political Junkies, Gadflies, and Those Generally Hell-Bound
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1112:
877:
866:
814:
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681:
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608:. He would not stay long in one place, instead traveling among mathematical institutions until his death.
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889:
355:, the number of steps in the shortest path between a mathematician and Erdős in terms of co-authorships.
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3538:
2542:
Goldfeld, Dorian (2003). "The Elementary Proof of the Prime Number Theorem: an Historical Perspective".
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1147:
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58:
2927:"Facts about Erdös Numbers and the Collaboration Graph - The Erdös Number Project- Oakland University"
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Erdős was one of the most prolific publishers of papers in mathematical history, comparable only with
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provides a free online tool to determine the Erdős number of every mathematical author listed in the
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for an in-depth discussion of the two styles, and why problem solvers are perhaps less appreciated).
400:
313:
297:
181:
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can be considered to have an Erdős number of 1 because they both autographed the same baseball (for
4526:
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4195:
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3760:
3615:
3033:
2865:
2369:
2360:
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Women were "bosses" who "captured" men as "slaves" by marrying them. Divorced men were "liberated".
1230:
1030:
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605:
541:
434:. In 1934, at the age of 21, he was awarded a doctorate in mathematics. Erdős's thesis advisor was
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201:
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521:
Erdős never married and had no children. He is buried next to his mother and father in the Jewish
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4272:
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2886:
2704:
2226:
1867:
1640:
1012:
896:
427:
321:
284:
276:
1190:
1072:
958:
946:
399:
When he was 16, his father introduced him to two subjects that would become lifetime favourites—
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1550:
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3680:
3619:
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3401:
3361:
3353:
3329:
3149:
2753:
2696:
2424:
2270:
2218:
1983:
1965:
1937:
1920:
1894:
1741:
1735:
1375:
809:
790:
597:
494:
435:
231:
186:
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3676:
The Man Who Loved Only Numbers: The Story of Paul Erdős and the Search for Mathematical Truth
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The Mathematical Coloring Book: Mathematics of Coloring and the Colorful Life of its Creators
1229:, and of keeping the most elegant mathematical proofs to himself. When he saw a particularly
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contain arbitrarily long arithmetic progressions, has since been proved independently as the
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4027:
4005:
4001:
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3715:
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3004:
2870:
2688:
2573:
2210:
1711:
1667:
1459:
1214:
1158:
1120:
916:
873:
870:
439:
407:. In high school, Erdős became an ardent solver of the problems that appeared each month in
375:
Wilhelm) and Lajos Erdős (né Engländer). His two sisters, aged three and five, both died of
252:
226:
165:
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Erdös, an atheist, named 'the Book' the place where God keeps aesthetically perfect proofs.
3170:
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2913:
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2100:
1809:
623:
denied Erdős, a Hungarian citizen, a re-entry visa into the United States. Teaching at the
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4157:
4143:
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2910:
2878:
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2003:
1595:, using the Mathematical Reviews data base, the next highest article count is roughly 823.
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2150:. School of Mathematics and Statistics, University of St Andrews, Scotland. January 2000
2127:"What's your Erdös Number? – The bustling Life of Mathematician Paul Erdös | SciHi Blog"
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4185:
4147:
4118:
4082:
4051:
3859:
3029:
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Seife, Charles (5 April 2002). "Erdös's Hard-to-Win Prizes Still Draw Bounty Hunters".
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1502:
1194:
1154:
1042:
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934:
928:
798:
704:
697:
483:
467:
242:
1435: – collection of finitely many residue classes whose union contains every integer
1258:, an arbitrarily small positive quantity is commonly denoted by the Greek letter (ε)).
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social practice of mathematics, working with more than 500 collaborators, and for his
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988:
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920:
846:
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728:
724:
673:
640:
573:
376:
341:
325:
305:
41:
33:
3486:"Children's Books Beautiful Minds 'The Boy Who Loved Math' and 'On a Beam of Light'"
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2376:
2170:
1524:"The Sum-Product Problem Shows How Addition and Multiplication Constrain Each Other"
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4457:
4370:
4345:
4173:
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4015:
3944:
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3291:
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Paul, Hoffman. "1. The Story of Paul Erdös and the Search for Mathematical Truth".
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He gave nicknames to many countries, examples being: the U.S. was "samland" (after
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851:
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329:
301:
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People who stopped doing mathematics had "died", while people who died had "left".
833:
Erdős had a reputation for posing new problems as well as solving existing ones –
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Baker, A.; Bollobás, B. (1999). "Paul Erdõs. 26 March 1913 — 20 September 1996".
568:, Princeton, New Jersey, for the next ten years. Despite outstanding papers with
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1444: – property of undirected graphs related to their representations in spaces
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Jerusalem, and then a "permanent visiting professor" position at the Technion.
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Math and mathematicians : the history of math discoveries around the world
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317:
289:
147:
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For other co-authors of Erdős, see the list of people with Erdős number 1 in
892:). The payment for the solution of the problem is currently worth US$ 5,000.
680:
in 1977. Shortly before his death, he renounced his honorary degree from the
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Erdős influenced many young mathematicians. In this 1985 photo taken at the
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512:. These circumstances were close to the way he wanted to die. He once said,
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17:
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2419:. In Arnold, V. I.; Atiyah, Michael; Lax, Peter D.; Mazur, Barry (eds.).
1698:"Paul Erdős 26 March 1913 – 20 September 1996: Elected For.Mem.R.S. 1989"
1409:
1255:
1226:
783:
601:
569:
364:
82:
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3296:"Centenary of Mathematician Paul Erdős – Source of Bacon Number Concept"
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and conjectures throughout his illustrious career." Erdős never won the
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1251:
1203:
712:
647:
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384:
351:. Erdős's prolific output with co-authors prompted the creation of the
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The Erdős number was most likely first defined by Casper Goffman, an
509:
380:
348:
101:
3358:
Mathematics and the Aesthetic: New Approaches to an Ancient Affinity
3144:
Chern, Shiing-Shen; Hirzebruch, Friedrich, eds. (2 September 2023).
3082:
2722:
2559:"The lord of the numbers, Atle Selberg. On his life and mathematics"
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whose own Erdős number is 2; Goffman co-authored with mathematician
911:
Erdős' most frequent collaborators include Hungarian mathematicians
758:
owes to him a whole approach, derived in part from the tradition of
3808:
786:, where he is credited as the first person to give an example of a
1342:
1295:
808:
630:
529:, he suggested "I've finally stopped getting dumber." (Hungarian:
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Spencer, Joel (November–December 2000). "Prove and Conjecture!".
1590:
857:
Perhaps the most mathematically notable of these problems is the
413:, the "Mathematical and Physical Journal for Secondary Schools".
3748:
3119:
2247:. Royal Netherlands Academy of Arts and Sciences. Archived from
1374:, both published in 1998) and a 2013 children's picture book by
537:
332:, rather than developing or exploring new areas of mathematics.
4286:
3817:
2980:"Paths to Erdös - The Erdös Number Project- Oakland University"
2468:"Paths to Erdős - The Erdős Number Project- Oakland University"
1360:
Erdős is the subject of at least three books: two biographies (
3790:
1218:
923:(50 papers). Other frequent collaborators were the following:
4715:
Members of the Royal Netherlands Academy of Arts and Sciences
1217:, he spoke of "The Book", a visualization of a book in which
903: + 1 problem. Erdős offered $ 500 for a solution.
1836:""Paul Erdős: The Man Who Loved Only Numbers" video lecture"
1424: – including conjectures, numbers, prizes, and theorems
1246:
Other idiosyncratic elements of Erdős's vocabulary include:
895:
The most familiar problem with an Erdős prize is likely the
684:
over what he considered to be unfair treatment of colleague
1729:
1727:
396:
reportedly sharing the same bed until he left for college.
3069:
Goffman, Casper (1969). "And what is your Erdős number?".
3611:
My Brain is Open: The Mathematical Journeys of Paul Erdős
1380:
The Boy Who Loved Math: The Improbable Life of Paul Erdős
854:
started a website dedicated to Erdős's problems in 2024.
3809:
Fan Chung, "Open problems of Paul Erdős in graph theory"
3437:
3435:
2769:
List of collaborators of Erdős by number of joint papers
1636:"Paul Erdos, 83, a Wayfarer In Math's Vanguard, Is Dead"
1146:
Jerry Grossman has written that it could be argued that
3537:
of the International Astronomical Union (14 May 2021).
2797:. Episode 2009-10-09. 30 September 2009. Archived from
1591:"Facts about Erdös Numbers and the Collaboration Graph"
1282:
To give an oral exam to students was "to torture" them.
552:
either "by mistake or out of typographical necessity".
4770:
Foreign associates of the National Academy of Sciences
3800:– Royal Society public lecture by Paul Hoffman (video)
3249:
Paul Erdos, Mathematical Genius, Human (In That Order)
1473: – Nonconstructive method for mathematical proofs
3749:
Searchable collection of (almost) all papers of Erdős
1213:
He had his own idiosyncratic vocabulary; although an
2203:
Biographical Memoirs of Fellows of the Royal Society
1703:
Biographical Memoirs of Fellows of the Royal Society
1455:
Pages displaying wikidata descriptions as a fallback
1446:
Pages displaying wikidata descriptions as a fallback
1437:
Pages displaying wikidata descriptions as a fallback
821:—who was 10 years old at the time. Tao received the
4561:
4545:
4328:
4219:
4136:
4061:
3984:
3883:
3852:
3474:, a documentary film by George Paul Csicsery, 1991.
237:
225:
171:
161:
138:
127:
117:
109:
90:
68:
49:
4730:Academics of the Victoria University of Manchester
3578:
3398:Variety in Religion And Science: Daily Reflections
1734:Chern, Shiing-Shen; Hirzebruch, Friedrich (2000).
2842:De Castro, Rodrigo; Grossman, Jerrold W. (1999).
1298:was the best language because words for old age (
504:On 20 September 1996, at the age of 83, he had a
379:a few days before he was born. His parents, both
4750:Mathematicians at the University of Pennsylvania
1279:Mathematical lectures themselves were "sermons".
1193:said, "a mathematician is a machine for turning
3638:"A Life of Mathematics – Paul Erdos, 1913-1996"
3169:J.J. O'Connor; E.F. Robertson (December 2008).
2904:Rev. Acad. Colombiana Cienc. Exact. Fís. Natur.
1687:
1685:
1485: – Group of prominent Hungarian scientists
1462: – Graph of triangles with a shared vertex
1276:To give a mathematical lecture was "to preach".
1169:
863:
514:
4725:Institute for Advanced Study visiting scholars
3148:. Vol. 1. World Scientific. p. 293.
2822:"Some Famous People with Finite Erdös Numbers"
678:Royal Netherlands Academy of Arts and Sciences
4298:
3829:
3804:Radiolab: Numbers, with a story on Paul Erdős
1273:To be considered a hack was to be a "Newton".
8:
4710:Members of the Hungarian Academy of Sciences
3585:. Baker, Lawrence W. Detroit, Mich.: U X L.
3106:"Items of Interest Related to Erdös Numbers"
2179:Notices of the American Mathematical Society
536:Erdős's name contains the Hungarian letter "
1328:A.D. represented "Archaeological Discovery"
1290:) and the Soviet Union was "joedom" (after
1270:Music (except classical music) was "noise".
859:Erdős conjecture on arithmetic progressions
842:was solved in 2014, and the $ 10,000 paid.
450:. He took up a post-doctoral fellowship at
4305:
4291:
4283:
3836:
3822:
3814:
2557:Baas, Nils A.; Skau, Christian F. (2008).
1626:
1624:
1331:The second L.D. represented "Legally Dead"
57:
46:
3453:
3383:
3194:
2864:
2666:"Cash for Math: The Erdős Prizes Live On"
2650:"Prime Gap Grows After Decades-Long Lull"
2595:"Reminiscences of Paul Erdös (1913–1996)"
2577:
2299:Transcription of October 2, 1996, article
2075:"The wandering mathematician: Paul Erdos"
1715:
1322:P.G.O.M. represented "Poor Great Old Man"
746:Of his contributions, the development of
508:and died while attending a conference in
474:was living in America and working at the
363:Paul Erdős was born on 26 March 1913, in
217:Technion – Israel Institute of Technology
3535:Working Group on Small Body Nomenclature
3441:
2778:, from the Erdős number project website.
2517:"Wolf Foundation Mathematics Prize Page"
2061:
1325:The first L.D. represented "Living Dead"
1254:" (because in mathematics, particularly
919:(56 papers), and American mathematician
426:. By the time he was 20, he had found a
122:Royal Hungarian Pázmány Péter University
3770:MacTutor History of Mathematics Archive
3513:N Is a Number: A Portrait of Paul Erdös
2456:Mathematics: Frontiers and Perspectives
2421:Mathematics: Frontiers and Perspectives
2321:
2024:
1936:. Berlin; Heidelberg: Springer Verlag.
1934:N Is a Number: A Portrait of Paul Erdős
1784:
1780:
1778:
1494:
1392:N is a Number: A Portrait of Paul Erdős
544:), but is often incorrectly written as
3789:Jerry Grossman at Oakland University.
3754:Database of problems proposed by Erdős
1861:Alexander, James (27 September 1998).
1605:Lemonick, Michael D. (29 March 1999).
1565:"Paul Erdos - Hungarian mathematician"
621:Immigration and Naturalization Service
438:, who was also the thesis advisor for
4630:20th-century Hungarian mathematicians
3262:
3260:
3258:
3256:
2391:"The Erdős Number Project Data Files"
2301:from University of Waterloo Gazette (
1979:
1975:
1973:
1961:
1957:
1955:
1953:
1916:
1912:
1910:
1908:
1906:
1904:
1804:
1802:
1800:
1798:
1796:
1422:List of topics named after Paul Erdős
1237:!" This later inspired a book titled
723:, "for his numerous contributions to
283:
7:
4705:Foreign members of the Royal Society
2630:from the original on 18 January 2011
770:'s original one. He also discovered
676:. He became a foreign member of the
635:Counter-clockwise from left: Erdős,
458:were suffering oppression under the
371:, the only surviving child of Anna (
4775:Wolf Prize in Mathematics laureates
4695:Mathematicians from Austria-Hungary
4553:Edward Shackleton, Baron Shackleton
3655:Mathematical Association of America
3120:"The Extended Erdös Number Project"
2599:Mathematical Association of America
2049:Combinatorics, Paul Erdős is eighty
1607:"Paul Erdos: The Oddball's Oddball"
1233:he would exclaim, "This one's from
766:which proved to be far neater than
27:Hungarian mathematician (1913–1996)
4745:University of Pennsylvania faculty
3034:"Obituary of Paul Erdös at Purdue"
3005:"mathscinet/collaborationDistance"
2746:p. 354, Soifer, Alexander (2008);
2125:Sack, Harald (20 September 2018).
1996:"Erdős Pál sírja - grave 17A-6-29"
25:
3356:, William Higginson, ed. (2006).
3312:you should believe in the Book.".
2519:. Wolffund.org.il. Archived from
2423:. American Mathematical Society.
2414:"The Two Cultures of Mathematics"
1740:. World Scientific. p. 294.
1479: – Subfield of number theory
1389:'s biographical documentary film
296:pursued and proposed problems in
177:Victoria University of Manchester
4780:Burials at Kozma Street Cemetery
4755:University of Notre Dame faculty
4266:
2620:"Math genius left unclaimed sum"
1666:. Gap-system.org. Archived from
4720:Eötvös Loránd University alumni
2544:Number Theory: New York Seminar
2502:, by DeCastro and Grossman, in
1503:"Mathematics Genealogy Project"
1396:made while he was still alive.
1267:Alcoholic drinks were "poison".
491:University of Wisconsin–Madison
3798:The Man Who Loved Only Numbers
3744:Erdős's Google Scholar profile
3714:. Berlin; New York: Springer.
3270:The Man Who Loved Only Numbers
2852:The Mathematical Intelligencer
2664:KEVIN HARTNETT (5 June 2017).
2504:The Mathematical Intelligencer
2209:. The Royal Society: 147–164.
2169:Babai, László; Spencer, Joel.
1932:Csicsery, George Paul (2005).
1842:. The University of Manchester
1367:The Man Who Loved Only Numbers
1334:C.D. represented "Counts Dead"
1250:Children were referred to as "
1094:List of people by Erdős number
817:, Erdős explains a problem to
212:Hebrew University of Jerusalem
1:
3785:Mathematics Genealogy Project
3679:. London: Fourth Estate Ltd.
3484:Silver, Nate (12 July 2013).
3328:. Nation Books. p. 107.
3071:American Mathematical Monthly
3058:from the Erdos Number Project
2844:"Famous trails to Paul Erdős"
2579:10.1090/S0273-0979-08-01223-8
2188:American Mathematical Society
1834:Hoffman, Paul (1 July 2016).
1549:Hoffman, Paul (8 July 2013).
1171:Another roof, another proof.
1126:American Mathematical Society
876:, then the sequence contains
584:in approximation theory, and
4765:Princeton University faculty
4700:Mathematicians from Budapest
2902:Original Spanish version in
2454:This article is a review of
2340:"Publications of Paul Erdös"
1231:beautiful mathematical proof
670:National Academy of Sciences
566:Institute for Advanced Study
476:Institute for Advanced Study
416:Erdős began studying at the
44:when mentioning individuals.
4740:Syracuse University faculty
4735:Stanford University faculty
4432:Andrew David McLachlan
3171:"Biography of Alfréd Rényi"
2693:10.1126/science.296.5565.39
2262:Erdős, Paul (4 June 1996).
1891:"Paul Erdős just left town"
1863:"Planning an Infinite Stay"
1553:. "Encyclopædia Britannica.
1477:Probabilistic number theory
1310:) sounded almost the same.
1054:Richard R. Hall (14 papers)
827:Fellow of the Royal Society
825:in 2006, and was elected a
750:and the application of the
578:probabilistic number theory
4796:
3400:. iUniverse. p. 256.
3396:Raman, Varadaraja (2005).
2952:"Erdös Numbers in Finance"
2393:. Oakland.edu. 29 May 2009
2365:"Paul Erdos, Sweet Genius"
2309:November 23, 2010, at the
1385:He is also the subject of
1103:
772:the first elementary proof
762:. Erdős found a proof for
650:at the time was under the
531:"Végre nem butulok tovább"
489:Ulam left his post at the
192:University of Pennsylvania
31:
4760:Purdue University faculty
4262:
3846:Wolf Prize in Mathematics
3720:10.1007/978-3-662-44205-0
3608:Schechter, Bruce (1998).
3467:Paul Erdös: N is a number
3222:(1): 7–15. Archived from
3146:Wolf Prize in Mathematics
2043:Erdős, Paul; Miklós, D.;
1737:Wolf Prize in Mathematics
1483:The Martians (scientists)
266:
154:
56:
4569:Nicole Marthe Le Douarin
4426:Gilbert George Lonzarich
3792:The Erdös Number Project
3775:University of St Andrews
3516:(Documentary, Biography)
3360:. Springer. p. 36.
3216:Mathematics Competitions
2412:Gowers, Timothy (2000).
2245:"P. Erdös (1913 - 1996)"
2171:"Paul Erdős (1913–1996)"
2101:"Paul Erdős - Biography"
1810:"Paul Erdős - Biography"
1442:Dimension (graph theory)
804:
663:U.S. Immigration Service
625:University of Notre Dame
560:In 1934, Erdős moved to
484:living out of a suitcase
197:University of Notre Dame
40:. This article uses
32:The native form of this
4487:John Philip Simons
4474:John Martin Rowell
3653:(6). Washington, D.C.:
3510:Csicsery, George Paul,
3324:Huberman, Jack (2008).
2789:"From Benford to Erdös"
2264:"Dear President Downey"
1466:Minimum overlap problem
1069:A. R. Reddy (11 papers)
878:arithmetic progressions
493:in 1943 to work on the
387:as an Austro-Hungarian
4453:Robert Ladislav Parker
4273:Mathematics portal
3996:Ilya Piatetski-Shapiro
2752:; New York: Springer.
2215:10.1098/rsbm.1999.0011
1717:10.1098/rsbm.1999.0011
1352:
1173:
1148:Baseball Hall of Famer
1113:small-world phenomenon
1066:Zsolt Tuza (12 papers)
1063:István Joó (12 papers)
882:
830:
815:University of Adelaide
760:analytic number theory
756:Extremal combinatorics
754:especially stand out.
682:University of Waterloo
644:
519:
499:Los Alamos, New Mexico
418:University of Budapest
392:the rest of his life.
285:[ˈɛrdøːʃˈpaːl]
280:
4690:Probability theorists
4481:Ian John Russell
4206:Jean-François Le Gall
2900:on 24 September 2015.
2566:Bull. Amer. Math. Soc
2363:(27 September 1996).
1634:(24 September 1996).
1349:Kozma Street Cemetery
1346:
812:
741:mathematical analysis
634:
525:in Budapest. For his
523:Kozma Street Cemetery
462:. While there he met
310:mathematical analysis
292:of the 20th century.
4594:Edward Mills Purcell
4123:Phillip A. Griffiths
3961:Friedrich Hirzebruch
3761:Robertson, Edmund F.
3711:Proofs from THE BOOK
3616:Simon & Schuster
3207:Erdős, Paul (1995).
2909:(89) 563–582, 1999,
2361:Krauthammer, Charles
1644:. pp. A1 and B8
1471:Probabilistic method
1451:Even circuit theorem
1294:). He claimed that
1240:Proofs from the Book
1130:Mathematical Reviews
880:of arbitrary length.
871:sequence of integers
788:totally disconnected
776:prime number theorem
764:Bertrand's postulate
752:probabilistic method
464:Godfrey Harold Hardy
460:authoritarian regime
314:approximation theory
298:discrete mathematics
182:Princeton University
4640:Hungarian agnostics
4527:Thomas Summers West
4196:Alexander Beilinson
3759:O'Connor, John J.;
3038:www.math.purdue.edu
2652:. 10 December 2014.
2593:Henriksen, Melvin.
2370:The Washington Post
1031:Eric Charles Milner
1007:Melvyn B. Nathanson
899:, also called the 3
611:As a result of the
542:double acute accent
432:Chebyshev's theorem
207:Syracuse University
202:Stanford University
4685:Network scientists
4645:Hungarian atheists
4635:Mental calculators
4589:Barbara McClintock
4376:Peter Goddard
4227:Simon K. Donaldson
4154:Michael Aschbacher
4113:Hillel Furstenberg
3490:The New York Times
2875:10.1007/BF03025416
2774:2008-08-04 at the
2498:2015-09-24 at the
2446:American Scientist
2276:on 15 October 2005
1868:The New York Times
1641:The New York Times
1617:on 6 January 2012.
1353:
1013:Jean-Louis Nicolas
897:Collatz conjecture
865:If the sum of the
831:
645:
639:, and her husband
322:probability theory
63:Paul Erdős in 1992
42:Western name order
4665:Combinatorialists
4602:
4601:
4532:Andrew Wiles
4497:Marshall Stoneham
4280:
4279:
4243:Ingrid Daubechies
4200:Vladimir Drinfeld
4190:Charles Fefferman
4073:Jean-Pierre Serre
3921:Shiing-Shen Chern
3895:Andrey Kolmogorov
3844:Laureates of the
3729:978-3-662-44204-3
3686:978-1-85702-811-9
3636:(December 1996).
3625:978-0-684-84635-4
3575:Bruno, Leonard C.
3386:, pp. 70–71.
3354:Nathalie Sinclair
3294:(26 March 2013).
3209:"Child Prodigies"
3104:Grossman, Jerry.
2820:Grossman, Jerry.
2801:on 18 August 2010
2758:978-0-387-74640-1
2493:"trails to Erdos"
2338:Grossman, Jerry.
2148:"Erdos biography"
1747:978-981-02-3945-9
1664:"Erdos biography"
1530:. 6 February 2019
1376:Deborah Heiligman
1304:) and stupidity (
995:Miklós Simonovits
890:Green–Tao theorem
791:topological space
692:Mathematical work
495:Manhattan Project
270:
269:
238:Doctoral students
187:Purdue University
156:Scientific career
94:20 September 1996
85:, Austria-Hungary
16:(Redirected from
4787:
4680:Number theorists
4655:Jewish agnostics
4537:Ian Robert Young
4522:Rob Webster
4492:Roger Slack
4438:Michael A. Moore
4421:John Lawton
4341:Kenneth Bagshawe
4307:
4300:
4293:
4284:
4271:
4270:
4231:Yakov Eliashberg
4127:David B. Mumford
4099:Grigory Margulis
4028:Robert Langlands
4006:John G. Thompson
4002:Lennart Carleson
3971:Alberto Calderón
3941:Samuel Eilenberg
3931:Kunihiko Kodaira
3838:
3831:
3824:
3815:
3777:
3733:
3706:Ziegler, Günther
3690:
3666:
3664:
3662:
3642:
3629:
3604:
3584:
3562:
3561:
3559:
3557:
3543:
3539:"WGSBN Bulletin"
3531:
3525:
3524:
3523:
3521:
3507:
3501:
3500:
3498:
3496:
3481:
3475:
3468:
3463:
3457:
3451:
3445:
3439:
3430:
3429:
3427:
3418:
3412:
3411:
3393:
3387:
3381:
3375:
3374:
3350:
3344:
3343:
3321:
3315:
3314:
3308:
3306:
3288:
3282:
3281:
3279:
3277:
3264:
3251:
3245:
3239:
3238:
3236:
3234:
3229:on 24 March 2012
3228:
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3141:
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3110:
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3066:
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3055:
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3044:
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3020:
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3001:
2995:
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2990:
2976:
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2962:
2956:
2955:
2948:
2942:
2941:
2939:
2937:
2923:
2917:
2901:
2899:
2893:. Archived from
2868:
2848:
2839:
2833:
2832:
2830:
2828:
2817:
2811:
2810:
2808:
2806:
2785:
2779:
2766:
2760:
2744:
2738:
2737:
2735:
2733:
2723:"Erdős Problems"
2719:
2713:
2712:
2676:
2670:
2669:
2661:
2655:
2653:
2646:
2640:
2639:
2637:
2635:
2624:Edmonton Journal
2616:
2610:
2609:
2607:
2605:
2590:
2584:
2583:
2581:
2563:
2554:
2548:
2547:
2539:
2533:
2532:
2530:
2528:
2523:on 10 April 2008
2513:
2507:
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2483:
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2387:
2381:
2380:
2374:
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2350:
2348:
2346:
2335:
2329:
2319:
2313:
2296:
2290:
2289:
2283:
2281:
2275:
2269:. Archived from
2268:
2259:
2253:
2252:
2251:on 28 July 2020.
2241:
2235:
2234:
2198:
2192:
2191:
2175:
2166:
2160:
2159:
2157:
2155:
2144:
2138:
2137:
2135:
2133:
2122:
2116:
2115:
2113:
2111:
2097:
2091:
2090:
2088:
2086:
2071:
2065:
2059:
2053:
2052:
2038:
2032:
2022:
2016:
2015:
2013:
2011:
2002:. Archived from
1992:
1986:
1977:
1968:
1959:
1948:
1947:
1929:
1923:
1914:
1899:
1898:
1893:. Archived from
1886:
1880:
1879:
1877:
1875:
1858:
1852:
1851:
1849:
1847:
1831:
1825:
1824:
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1679:
1677:
1675:
1660:
1654:
1653:
1651:
1649:
1628:
1619:
1618:
1613:. Archived from
1602:
1596:
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1546:
1540:
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1520:
1514:
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1511:
1509:
1499:
1460:Friendship graph
1456:
1447:
1438:
1372:My Brain is Open
1370:and Schechter's
1347:Grave of Erdős,
1215:agnostic atheist
1177:
1159:Emory University
1141:Richard B. Darst
1121:Fields Medalists
915:(62 papers) and
805:Erdős's problems
795:zero-dimensional
448:Paul (Pál) Turán
440:John von Neumann
295:
287:
253:Alexander Soifer
227:Doctoral advisor
166:Pure mathematics
97:
78:
76:
61:
47:
21:
4795:
4794:
4790:
4789:
4788:
4786:
4785:
4784:
4670:Graph theorists
4650:Jewish atheists
4605:
4604:
4603:
4598:
4584:Edward B. Lewis
4557:
4541:
4502:Roger C. Thomas
4391:Geoffrey Hewitt
4356:Roger Blandford
4324:
4311:
4281:
4276:
4265:
4258:
4215:
4180:James G. Arthur
4158:Luis Caffarelli
4144:Dennis Sullivan
4132:
4079:Vladimir Arnold
4057:
3992:Ennio De Giorgi
3980:
3911:Hassler Whitney
3879:
3848:
3842:
3758:
3740:
3730:
3700:
3697:
3695:Further reading
3687:
3669:
3660:
3658:
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3632:
3626:
3607:
3593:
3573:
3570:
3565:
3555:
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3509:
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3492:
3483:
3482:
3478:
3466:
3464:
3460:
3452:
3448:
3440:
3433:
3425:
3421:Strick, Heinz.
3420:
3419:
3415:
3408:
3395:
3394:
3390:
3382:
3378:
3368:
3352:
3351:
3347:
3336:
3323:
3322:
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3304:
3302:
3300:Huffington Post
3290:
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3265:
3254:
3246:
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3230:
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3206:
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3201:
3197:, pp. 155.
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3126:
3124:harveycohen.net
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2787:
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2782:
2776:Wayback Machine
2767:
2763:
2745:
2741:
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2729:
2721:
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2716:
2687:(5565): 39–40.
2678:
2677:
2673:
2663:
2662:
2658:
2648:
2647:
2643:
2633:
2631:
2618:
2617:
2613:
2603:
2601:
2592:
2591:
2587:
2561:
2556:
2555:
2551:
2541:
2540:
2536:
2526:
2524:
2515:
2514:
2510:
2500:Wayback Machine
2490:
2486:
2476:
2474:
2466:
2465:
2461:
2443:
2442:
2438:
2431:
2416:
2411:
2410:
2406:
2396:
2394:
2389:
2388:
2384:
2375:
2359:
2358:
2354:
2344:
2342:
2337:
2336:
2332:
2320:
2316:
2311:Wayback Machine
2297:
2293:
2279:
2277:
2273:
2266:
2261:
2260:
2256:
2243:
2242:
2238:
2200:
2199:
2195:
2173:
2168:
2167:
2163:
2153:
2151:
2146:
2145:
2141:
2131:
2129:
2124:
2123:
2119:
2109:
2107:
2099:
2098:
2094:
2084:
2082:
2073:
2072:
2068:
2060:
2056:
2042:
2039:
2035:
2023:
2019:
2009:
2007:
2006:on 4 April 2016
1994:
1993:
1989:
1978:
1971:
1960:
1951:
1944:
1931:
1930:
1926:
1915:
1902:
1897:on 9 June 2011.
1889:Babai, László.
1888:
1887:
1883:
1873:
1871:
1860:
1859:
1855:
1845:
1843:
1833:
1832:
1828:
1818:
1816:
1808:
1807:
1794:
1783:
1776:
1766:
1764:
1760:
1759:
1755:
1748:
1733:
1732:
1725:
1691:
1690:
1683:
1673:
1671:
1662:
1661:
1657:
1647:
1645:
1630:
1629:
1622:
1604:
1603:
1599:
1589:
1587:
1583:
1573:
1571:
1563:
1562:
1558:
1548:
1547:
1543:
1533:
1531:
1528:Quanta Magazine
1522:
1521:
1517:
1507:
1505:
1501:
1500:
1496:
1492:
1454:
1445:
1436:
1433:Covering system
1428:Box-making game
1418:
1402:
1387:George Csicsery
1358:
1356:Books and films
1341:
1316:
1179:
1175:
1167:
1108:
1102:
1090:
1058:George Piranian
1001:Ernst G. Straus
959:Endre Szemerédi
909:
807:
694:
619:, in 1954, the
586:Witold Hurewicz
558:
456:Jews in Hungary
423:numerus clausus
401:infinite series
389:prisoner of war
369:Austria-Hungary
361:
293:
262:
248:George B. Purdy
221:
146:
118:Alma mater
105:
99:
95:
86:
80:
74:
72:
64:
52:
45:
28:
23:
22:
15:
12:
11:
5:
4793:
4791:
4783:
4782:
4777:
4772:
4767:
4762:
4757:
4752:
4747:
4742:
4737:
4732:
4727:
4722:
4717:
4712:
4707:
4702:
4697:
4692:
4687:
4682:
4677:
4672:
4667:
4662:
4660:Hungarian Jews
4657:
4652:
4647:
4642:
4637:
4632:
4627:
4622:
4617:
4607:
4606:
4600:
4599:
4597:
4596:
4591:
4586:
4581:
4576:
4571:
4565:
4563:
4559:
4558:
4556:
4555:
4549:
4547:
4543:
4542:
4540:
4539:
4534:
4529:
4524:
4519:
4514:
4509:
4504:
4499:
4494:
4489:
4484:
4477:
4470:
4465:
4460:
4455:
4450:
4445:
4440:
4435:
4428:
4423:
4418:
4413:
4408:
4403:
4398:
4393:
4388:
4383:
4378:
4373:
4368:
4363:
4358:
4353:
4348:
4343:
4338:
4336:Brian Anderson
4332:
4330:
4326:
4325:
4312:
4310:
4309:
4302:
4295:
4287:
4278:
4277:
4263:
4260:
4259:
4257:
4256:
4246:
4240:
4237:George Lusztig
4234:
4223:
4221:
4217:
4216:
4214:
4213:
4210:Gregory Lawler
4203:
4193:
4186:Richard Schoen
4183:
4177:
4171:
4161:
4151:
4148:Shing-Tung Yau
4140:
4138:
4134:
4133:
4131:
4130:
4119:Pierre Deligne
4116:
4106:
4103:Sergei Novikov
4096:
4086:
4083:Saharon Shelah
4076:
4065:
4063:
4059:
4058:
4056:
4055:
4052:Elias M. Stein
4045:
4042:Yakov G. Sinai
4035:
4025:
4019:
4012:Mikhail Gromov
4009:
3999:
3988:
3986:
3982:
3981:
3979:
3978:
3968:
3965:Lars Hörmander
3958:
3948:
3938:
3928:
3918:
3908:
3898:
3887:
3885:
3881:
3880:
3878:
3877:
3867:
3864:Carl L. Siegel
3860:Israel Gelfand
3856:
3854:
3850:
3849:
3843:
3841:
3840:
3833:
3826:
3818:
3812:
3811:
3806:
3801:
3795:
3787:
3778:
3756:
3751:
3746:
3739:
3738:External links
3736:
3735:
3734:
3728:
3702:Aigner, Martin
3696:
3693:
3692:
3691:
3685:
3667:
3634:Bollobás, Béla
3630:
3624:
3605:
3592:978-0787638139
3591:
3569:
3566:
3564:
3563:
3546:WGSBN Bulletin
3526:
3502:
3476:
3458:
3456:, pp. 41.
3454:Schechter 1998
3446:
3431:
3413:
3406:
3388:
3384:Schechter 1998
3376:
3366:
3345:
3334:
3316:
3283:
3252:
3240:
3199:
3195:Schechter 1998
3187:
3161:
3154:
3136:
3111:
3096:
3061:
3050:
3030:Michael Golomb
3021:
2996:
2971:
2957:
2943:
2918:
2866:10.1.1.33.6972
2834:
2812:
2780:
2761:
2739:
2727:Erdős Problems
2714:
2671:
2656:
2641:
2611:
2585:
2572:(4): 617–649.
2549:
2534:
2508:
2484:
2459:
2436:
2430:978-0821826973
2429:
2404:
2382:
2373:. p. A25.
2352:
2330:
2314:
2291:
2254:
2236:
2193:
2161:
2139:
2117:
2092:
2081:. 28 July 2023
2066:
2054:
2033:
2017:
1987:
1969:
1949:
1942:
1924:
1900:
1881:
1853:
1826:
1792:
1774:
1753:
1746:
1723:
1681:
1670:on 7 June 2011
1655:
1620:
1597:
1581:
1569:Britannica.com
1556:
1541:
1515:
1493:
1491:
1488:
1487:
1486:
1480:
1474:
1468:
1463:
1457:
1448:
1439:
1430:
1425:
1417:
1414:
1401:
1398:
1357:
1354:
1340:
1337:
1336:
1335:
1332:
1329:
1326:
1323:
1315:
1312:
1284:
1283:
1280:
1277:
1274:
1271:
1268:
1265:
1262:
1259:
1189:His colleague
1168:
1166:
1163:
1155:Carl Pomerance
1104:Main article:
1101:
1098:
1089:
1088:
1082:
1076:
1070:
1067:
1064:
1061:
1055:
1052:
1046:
1043:John Selfridge
1040:
1037:András Gyárfás
1034:
1028:
1022:
1016:
1010:
1004:
998:
992:
986:
980:
977:Carl Pomerance
974:
968:
962:
956:
950:
944:
938:
935:C. C. Rousseau
932:
929:Richard Schelp
925:
913:András Sárközy
908:
905:
806:
803:
705:Timothy Gowers
698:Leonhard Euler
693:
690:
557:
554:
360:
357:
268:
267:
264:
263:
261:
260:
255:
250:
243:Joseph Kruskal
241:
239:
235:
234:
229:
223:
222:
220:
219:
214:
209:
204:
199:
194:
189:
184:
175:
173:
169:
168:
163:
159:
158:
152:
151:
148:AMS Cole Prize
140:
136:
135:
129:
128:Known for
125:
124:
119:
115:
114:
111:
107:
106:
100:
98:(aged 83)
92:
88:
87:
81:
70:
66:
65:
62:
54:
53:
50:
26:
24:
14:
13:
10:
9:
6:
4:
3:
2:
4792:
4781:
4778:
4776:
4773:
4771:
4768:
4766:
4763:
4761:
4758:
4756:
4753:
4751:
4748:
4746:
4743:
4741:
4738:
4736:
4733:
4731:
4728:
4726:
4723:
4721:
4718:
4716:
4713:
4711:
4708:
4706:
4703:
4701:
4698:
4696:
4693:
4691:
4688:
4686:
4683:
4681:
4678:
4676:
4675:Set theorists
4673:
4671:
4668:
4666:
4663:
4661:
4658:
4656:
4653:
4651:
4648:
4646:
4643:
4641:
4638:
4636:
4633:
4631:
4628:
4626:
4623:
4621:
4618:
4616:
4613:
4612:
4610:
4595:
4592:
4590:
4587:
4585:
4582:
4580:
4579:Kenichi Fukui
4577:
4575:
4572:
4570:
4567:
4566:
4564:
4560:
4554:
4551:
4550:
4548:
4544:
4538:
4535:
4533:
4530:
4528:
4525:
4523:
4520:
4518:
4515:
4513:
4510:
4508:
4507:Anne Treisman
4505:
4503:
4500:
4498:
4495:
4493:
4490:
4488:
4485:
4483:
4482:
4478:
4476:
4475:
4471:
4469:
4466:
4464:
4461:
4459:
4456:
4454:
4451:
4449:
4446:
4444:
4441:
4439:
4436:
4434:
4433:
4429:
4427:
4424:
4422:
4419:
4417:
4416:Francis Kelly
4414:
4412:
4411:Michael James
4409:
4407:
4406:Richard Hynes
4404:
4402:
4399:
4397:
4394:
4392:
4389:
4387:
4384:
4382:
4381:Michael Green
4379:
4377:
4374:
4372:
4369:
4367:
4364:
4362:
4359:
4357:
4354:
4352:
4349:
4347:
4344:
4342:
4339:
4337:
4334:
4333:
4331:
4327:
4323:
4319:
4318:Royal Society
4315:
4308:
4303:
4301:
4296:
4294:
4289:
4288:
4285:
4275:
4274:
4269:
4261:
4254:
4250:
4247:
4244:
4241:
4238:
4235:
4232:
4228:
4225:
4224:
4222:
4218:
4211:
4207:
4204:
4201:
4197:
4194:
4191:
4187:
4184:
4181:
4178:
4175:
4172:
4169:
4168:Michael Artin
4165:
4164:George Mostow
4162:
4159:
4155:
4152:
4149:
4145:
4142:
4141:
4139:
4135:
4128:
4124:
4120:
4117:
4114:
4110:
4109:Stephen Smale
4107:
4104:
4100:
4097:
4094:
4090:
4087:
4084:
4080:
4077:
4074:
4070:
4067:
4066:
4064:
4060:
4053:
4049:
4048:László Lovász
4046:
4043:
4039:
4038:Joseph Keller
4036:
4033:
4029:
4026:
4023:
4020:
4017:
4013:
4010:
4007:
4003:
4000:
3997:
3993:
3990:
3989:
3987:
3983:
3976:
3972:
3969:
3966:
3962:
3959:
3956:
3952:
3949:
3946:
3942:
3939:
3936:
3932:
3929:
3926:
3922:
3919:
3916:
3912:
3909:
3906:
3905:Oscar Zariski
3902:
3899:
3896:
3892:
3889:
3888:
3886:
3882:
3875:
3871:
3868:
3865:
3861:
3858:
3857:
3855:
3851:
3847:
3839:
3834:
3832:
3827:
3825:
3820:
3819:
3816:
3810:
3807:
3805:
3802:
3799:
3796:
3794:
3793:
3788:
3786:
3782:
3779:
3776:
3772:
3771:
3766:
3762:
3757:
3755:
3752:
3750:
3747:
3745:
3742:
3741:
3737:
3731:
3725:
3721:
3717:
3713:
3712:
3707:
3703:
3699:
3698:
3694:
3688:
3682:
3678:
3677:
3672:
3671:Hoffman, Paul
3668:
3656:
3652:
3648:
3647:
3639:
3635:
3631:
3627:
3621:
3617:
3613:
3612:
3606:
3602:
3598:
3594:
3588:
3583:
3582:
3576:
3572:
3571:
3567:
3551:
3547:
3540:
3536:
3530:
3527:
3515:
3514:
3506:
3503:
3491:
3487:
3480:
3477:
3473:
3469:
3462:
3459:
3455:
3450:
3447:
3444:, pp. 6.
3443:
3442:Bollobás 1996
3438:
3436:
3432:
3424:
3417:
3414:
3409:
3407:9780595358403
3403:
3399:
3392:
3389:
3385:
3380:
3377:
3373:
3369:
3367:9780387305264
3363:
3359:
3355:
3349:
3346:
3342:
3337:
3335:9781568584195
3331:
3327:
3320:
3317:
3313:
3301:
3297:
3293:
3292:Mulcahy, Colm
3287:
3284:
3272:
3271:
3263:
3261:
3259:
3257:
3253:
3250:
3244:
3241:
3225:
3221:
3217:
3210:
3203:
3200:
3196:
3191:
3188:
3176:
3175:Maths History
3172:
3165:
3162:
3157:
3155:9789814723930
3151:
3147:
3140:
3137:
3125:
3121:
3115:
3112:
3107:
3100:
3097:
3092:
3088:
3084:
3080:
3076:
3072:
3065:
3062:
3059:
3054:
3051:
3039:
3035:
3031:
3025:
3022:
3010:
3006:
3000:
2997:
2985:
2981:
2975:
2972:
2967:
2961:
2958:
2953:
2947:
2944:
2932:
2928:
2922:
2919:
2915:
2912:
2908:
2905:
2896:
2892:
2888:
2884:
2880:
2876:
2872:
2867:
2862:
2858:
2854:
2853:
2845:
2838:
2835:
2823:
2816:
2813:
2800:
2796:
2795:
2790:
2784:
2781:
2777:
2773:
2770:
2765:
2762:
2759:
2755:
2751:
2750:
2743:
2740:
2728:
2724:
2718:
2715:
2710:
2706:
2702:
2698:
2694:
2690:
2686:
2682:
2675:
2672:
2667:
2660:
2657:
2651:
2645:
2642:
2629:
2625:
2621:
2615:
2612:
2600:
2596:
2589:
2586:
2580:
2575:
2571:
2567:
2560:
2553:
2550:
2545:
2538:
2535:
2522:
2518:
2512:
2509:
2505:
2501:
2497:
2494:
2488:
2485:
2473:
2469:
2463:
2460:
2457:
2451:
2447:
2440:
2437:
2432:
2426:
2422:
2415:
2408:
2405:
2392:
2386:
2383:
2378:
2372:
2371:
2366:
2362:
2356:
2353:
2341:
2334:
2331:
2327:
2323:
2318:
2315:
2312:
2308:
2304:
2300:
2295:
2292:
2288:
2272:
2265:
2258:
2255:
2250:
2246:
2240:
2237:
2232:
2228:
2224:
2220:
2216:
2212:
2208:
2204:
2197:
2194:
2189:
2185:
2181:
2180:
2172:
2165:
2162:
2149:
2143:
2140:
2128:
2121:
2118:
2106:
2105:Maths History
2102:
2096:
2093:
2080:
2076:
2070:
2067:
2064:, pp. 4.
2063:
2062:Bollobás 1996
2058:
2055:
2050:
2046:
2037:
2034:
2030:
2026:
2021:
2018:
2005:
2001:
1997:
1991:
1988:
1985:
1981:
1976:
1974:
1970:
1967:
1963:
1958:
1956:
1954:
1950:
1945:
1943:3-540-22469-6
1939:
1935:
1928:
1925:
1922:
1918:
1913:
1911:
1909:
1907:
1905:
1901:
1896:
1892:
1885:
1882:
1870:
1869:
1864:
1857:
1854:
1841:
1837:
1830:
1827:
1815:
1814:Maths History
1811:
1805:
1803:
1801:
1799:
1797:
1793:
1790:
1786:
1781:
1779:
1775:
1763:
1757:
1754:
1749:
1743:
1739:
1738:
1730:
1728:
1724:
1718:
1713:
1709:
1705:
1704:
1699:
1695:
1688:
1686:
1682:
1669:
1665:
1659:
1656:
1643:
1642:
1637:
1633:
1627:
1625:
1621:
1616:
1612:
1608:
1601:
1598:
1592:
1588:According to
1585:
1582:
1570:
1566:
1560:
1557:
1552:
1545:
1542:
1529:
1525:
1519:
1516:
1504:
1498:
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1292:Joseph Stalin
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918:
917:András Hajnal
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907:Collaborators
906:
904:
902:
898:
893:
891:
887:
886:prime numbers
881:
879:
875:
872:
868:
862:
860:
855:
853:
848:
847:Ronald Graham
843:
841:
836:
835:Ernst Strauss
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820:
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792:
789:
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781:
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777:
773:
769:
765:
761:
757:
753:
749:
748:Ramsey theory
744:
742:
738:
734:
730:
729:combinatorics
726:
725:number theory
722:
718:
714:
710:
706:
701:
699:
691:
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683:
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675:
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671:
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664:
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659:
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641:Ronald Graham
638:
633:
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626:
622:
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326:Ramsey theory
323:
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306:number theory
303:
299:
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258:Béla Bollobás
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79:26 March 1913
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4468:Warren Roper
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4458:Geoff Parker
4430:
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4346:John M. Ball
4264:
4174:Peter Sarnak
4032:Andrew Wiles
4022:Jürgen Moser
4016:Jacques Tits
3945:Atle Selberg
3924:
3901:Lars Ahlfors
3891:Henri Cartan
3791:
3768:
3765:"Paul Erdős"
3710:
3675:
3659:. Retrieved
3650:
3644:
3614:. New York:
3610:
3580:
3554:. Retrieved
3549:
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3518:, retrieved
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3493:. Retrieved
3489:
3479:
3461:
3449:
3423:"Paul Erdős"
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3224:the original
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2333:
2322:Hoffman 1998
2317:
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2271:the original
2257:
2249:the original
2239:
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2142:
2132:10 September
2130:. Retrieved
2120:
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2104:
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2083:. Retrieved
2078:
2069:
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2048:
2045:Sós, Vera T.
2036:
2025:Hoffman 1998
2020:
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2004:the original
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1990:
1933:
1927:
1895:the original
1884:
1872:. Retrieved
1866:
1856:
1844:. Retrieved
1839:
1829:
1817:. Retrieved
1813:
1785:Hoffman 1998
1765:. Retrieved
1762:"Paul Erdős"
1756:
1736:
1707:
1701:
1694:Bollobas, B.
1672:. Retrieved
1668:the original
1658:
1648:29 September
1646:. Retrieved
1639:
1632:Kolata, Gina
1615:the original
1610:
1600:
1584:
1572:. Retrieved
1568:
1559:
1551:"Paul Erdős"
1544:
1532:. Retrieved
1527:
1518:
1506:. Retrieved
1497:
1406:minor planet
1404:In 2021 the
1403:
1390:
1384:
1379:
1371:
1365:
1359:
1317:
1305:
1299:
1285:
1245:
1238:
1234:
1222:
1212:
1191:Alfréd Rényi
1188:
1180:
1176:— Paul Erdős
1174:
1170:
1145:
1134:
1117:
1109:
1106:Erdős number
1100:Erdős number
1091:
1073:Vojtěch Rödl
1019:Richard Rado
983:Joel Spencer
947:Alfréd Rényi
910:
900:
894:
883:
864:
856:
852:Thomas Bloom
844:
832:
823:Fields Medal
793:that is not
780:Atle Selberg
745:
717:Fields Medal
709:Joel Spencer
702:
695:
686:Adrian Bondy
667:
660:
656:Soviet Union
646:
643:, Japan 1986
610:
559:
549:
545:
540:" ("o" with
535:
530:
520:
515:
506:heart attack
503:
488:
481:
472:
444:George Pólya
421:
415:
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398:
394:
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353:Erdős number
342:
334:
302:graph theory
272:
271:
172:Institutions
155:
96:(1996-09-20)
37:
29:
4625:1996 deaths
4620:1913 births
4443:Kim Nasmyth
4401:Julian Hunt
4361:Arthur Cain
4351:Adrian Bird
3975:John Milnor
2604:1 September
2472:oakland.edu
2154:11 November
2110:9 September
2085:9 September
1710:: 147–164.
1692:Baker, A.;
1165:Personality
1132:catalogue.
1087:(10 papers)
1081:(10 papers)
1075:(11 papers)
1060:(14 papers)
1051:(14 papers)
1045:(14 papers)
1039:(15 papers)
1033:(15 papers)
1027:(18 papers)
1021:(18 papers)
1015:(19 papers)
1009:(19 papers)
1003:(20 papers)
997:(21 papers)
991:(21 papers)
985:(23 papers)
979:(23 papers)
973:(27 papers)
971:Stefan Burr
967:(28 papers)
961:(29 papers)
955:(30 papers)
949:(32 papers)
943:(35 papers)
937:(35 papers)
931:(42 papers)
867:reciprocals
819:Terence Tao
799:Erdős space
733:probability
672:and the UK
652:Warsaw Pact
617:McCarthyism
436:Lipót Fejér
340:lifestyle;
290:conjectures
232:Lipót Fejér
110:Nationality
4615:Paul Erdős
4609:Categories
4574:Paul Erdős
4546:Statute 12
4448:Paul Nurse
4396:Derek Hull
4386:Brian Heap
4366:Mark Child
4253:Adi Shamir
4089:Mikio Sato
4069:Raoul Bott
3951:Kiyosi Itô
3925:Paul Erdős
3915:Mark Krein
3874:André Weil
3870:Jean Leray
3781:Paul Erdős
3495:29 October
3129:2 December
3077:(7): 791.
3014:2 December
2827:1 February
2805:6 February
2546:: 179–192.
2477:2 December
2345:1 February
2324:, p.
2079:TheArticle
2027:, p.
2010:2 December
2000:agt.bme.hu
1982:, p.
1980:Bruno 2003
1964:, p.
1962:Bruno 2003
1919:, p.
1917:Bruno 2003
1787:, p.
1574:2 December
1490:References
1351:, Budapest
1208:Benzedrine
1200:Ron Graham
1151:Hank Aaron
1079:Pál Révész
989:János Pach
965:Ron Graham
840:prime gaps
737:set theory
721:Wolf Prize
594:Notre Dame
562:Manchester
452:Manchester
405:set theory
318:set theory
273:Paul Erdős
143:Wolf Prize
75:1913-03-26
51:Paul Erdős
18:Paul Erdos
4249:Noga Alon
4115:(2006/07)
4095:(2002/03)
4093:John Tate
4044:(1996/97)
4034:(1995/96)
4024:(1994/95)
3955:Peter Lax
3937:(1984/85)
3935:Hans Lewy
3927:(1983/84)
3577:(2003) .
3247:Hill, J.
2989:6 October
2936:6 October
2891:120046886
2861:CiteSeerX
2794:Radio Lab
2231:123517792
2223:0080-4606
1534:6 October
1508:13 August
1400:Astronomy
1314:Signature
1288:Uncle Sam
1227:passports
1049:Fan Chung
953:Pál Turán
768:Chebyshev
654:with the
637:Fan Chung
613:Red Scare
582:Pál Turán
468:Stan Ulam
338:eccentric
281:Erdős Pál
277:Hungarian
145:(1983/84)
132:Namesakes
113:Hungarian
38:Erdős Pál
4517:Pat Wall
4320:elected
3708:(2014).
3673:(1998).
3601:41497065
3305:13 April
2966:"Erdos2"
2772:Archived
2732:23 April
2709:34952867
2701:11935003
2628:Archived
2496:Archived
2307:Archived
2047:(1996).
1846:17 March
1696:(1999).
1416:See also
1410:asteroid
1301:bud̩d̩hā
1256:calculus
1252:epsilons
1235:The Book
1223:The Book
941:Vera Sós
874:diverges
829:in 2007.
784:topology
774:for the
713:theorems
606:Syracuse
602:Stanford
570:Mark Kac
365:Budapest
345:magazine
104:, Poland
83:Budapest
4562:Foreign
4329:Fellows
4322:in 1989
4316:of the
4314:Fellows
3783:at the
3568:Sources
3552:(1): 29
3472:YouTube
3233:17 July
3091:2317868
3009:ams.org
2914:1744115
2883:1709679
2681:Science
2634:16 July
2303:archive
1840:YouTube
1767:11 June
1362:Hoffman
1204:Ritalin
1183:donated
1157:) when
1137:analyst
648:Hungary
527:epitaph
385:Siberia
4255:(2024)
4245:(2023)
4239:(2022)
4233:(2020)
4212:(2019)
4202:(2018)
4192:(2017)
4182:(2015)
4176:(2014)
4170:(2013)
4160:(2012)
4150:(2010)
4129:(2008)
4105:(2005)
4085:(2001)
4075:(2000)
4054:(1999)
4018:(1993)
4008:(1992)
3998:(1990)
3977:(1989)
3967:(1988)
3957:(1987)
3947:(1986)
3917:(1982)
3907:(1981)
3897:(1980)
3876:(1979)
3866:(1978)
3726:
3683:
3622:
3599:
3589:
3556:16 May
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3364:
3332:
3152:
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2889:
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2756:
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2527:29 May
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2397:29 May
2280:8 July
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1940:
1819:6 July
1744:
1674:29 May
1339:Legacy
1307:buddhū
1195:coffee
797:, the
604:, and
598:Purdue
556:Career
510:Warsaw
446:, and
381:Jewish
349:Warsaw
320:, and
162:Fields
150:(1951)
139:Awards
102:Warsaw
4220:2020s
4137:2010s
4062:2000s
3985:1990s
3884:1980s
3853:1970s
3661:6 May
3646:Focus
3641:(PDF)
3542:(PDF)
3520:4 May
3426:(PDF)
3341:Book.
3276:4 May
3227:(PDF)
3212:(PDF)
3180:4 May
3087:JSTOR
3043:4 May
2898:(PDF)
2887:S2CID
2847:(PDF)
2705:S2CID
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869:of a
590:UPenn
550:Erdös
546:Erdos
517:over.
454:, as
428:proof
410:KöMaL
294:Erdős
3724:ISBN
3681:ISBN
3663:2022
3620:ISBN
3597:OCLC
3587:ISBN
3558:2021
3522:2022
3497:2014
3402:ISBN
3362:ISBN
3330:ISBN
3307:2013
3278:2022
3235:2012
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3150:ISBN
3131:2017
3045:2022
3016:2017
2991:2019
2938:2019
2829:2011
2807:2016
2754:ISBN
2734:2024
2697:PMID
2636:2020
2606:2008
2529:2010
2479:2017
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2399:2010
2347:2011
2282:2014
2219:ISSN
2156:2008
2134:2023
2112:2023
2087:2023
2012:2017
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1769:2015
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