304:= 2 β 1, was discovered two weeks later on September 6, 2008, marking the shortest chronological gap between discoveries of Mersenne primes since the formation of the online collaborative project in 1996. It was the first time since 1963 that two Mersenne primes were discovered less than 30 days apart from each other. Less than a year later, on June 4, 2009, the 46th Mersenne prime, M
312:. The result for this prime was first reported to the server in April 2009, but due to a bug, remained unnoticed for nearly two months. Having 12,837,064 decimal digits, it is only 141,125 digits, or 1.09%, shorter than M
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363:"GIMPS Discovers 45th and 46th Mersenne Primes, M43,112,609 is now the Largest Known Prime. Titanic Primes Raced to Win $ 100,000 Research Award"
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296:= 2 β 1, a prime number with 12,978,189 decimal digits. It was discovered on August 23, 2008 by Edson Smith, a volunteer of the
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316:. These two Mersenne primes hold the record for the ones with the smallest ratio between their exponents.
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384:"GIMPS Discovers 47th Mersenne Prime, M42,643,801 is newest, but not the largest, known Mersenne Prime"
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308:= 2 β 1, was discovered by Odd Magnar Strindmo, a GIMPS participant from
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43,112,609 is a prime number. Moreover, it is the exponent of the 47th
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182:{\displaystyle {\stackrel {\delta \tau \iota \alpha }{\mathrm {M} }}}
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124:(forty-three million one hundred twelve thousand six hundred ninth)
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forty-three million, one hundred twelve thousand, six hundred nine
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forty-three million one hundred twelve thousand six hundred nine
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On the discovery of the 45th and 46th known
Mersenne primes"
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43,112,609 is the degree of four of the seven largest
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38:following 43,112,608 and preceding 43,112,610.
497:, vol. 46/47, no. 3, pp. 194β197, August 2008.
438:, vol. 58, no. 2, pp. 233β239, February 2011.
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436:Notices of the American Mathematical Society
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419:"Twelve new primitive binary trinomials"
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298:Great Internet Mersenne Prime Search
430:Richard P. Brent, Paul Zimmermann,
417:Richard P. Brent, Paul Zimmermann,
407:. Prime Curios!. February 5, 2013.
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405:"16987...14751 (12837064 digits)"
489:George Woltman, Scott Kurowski,
421:, arXiv:1605.09213, 24 May 2016,
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300:. The 45th Mersenne prime, M
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432:"The Great Trinomial Hunt"
209:10100100011101100010100001
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341:43,112,609 is not a
336:Sophie Germain prime
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495:Fibonacci Quarterly
18:43,112,609 (number)
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57:List of numbers
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388:. Retrieved
386:. 2009-06-12
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367:. Retrieved
365:. 2008-09-16
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292:, equal to M
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270:Hexadecimal
505:Categories
466:(sequence
447:(sequence
390:2009-06-04
369:2020-06-04
349:References
325:trinomials
314:43,112,609
306:42,643,801
302:37,156,667
294:43,112,609
257:Duodecimal
235:4140015225
122:43112609th
28:43,112,609
321:primitive
248:244354241
173:α
170:ι
167:τ
164:δ
34:) is the
511:Integers
261:12531515
108:Cardinal
62:Integers
47:43112609
472:in the
469:A112634
453:in the
450:A065406
323:binary
274:291D8A1
218:Ternary
118:Ordinal
310:Norway
231:Senary
205:Binary
329:GF(2)
327:over
244:Octal
189:Ν΅Ξ²ΟΞΈΒ΄
135:prime
474:OEIS
455:OEIS
199:N/A
507::
493:,
434:,
276:16
263:12
100:10
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250:8
237:6
224:3
211:2
158:M
70:β
30:(
20:)
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