488:
638:"He puts on (the circular site) four (bricks) running eastwards 1; two behind running crosswise (from south to north), and two (such) in front. Now the four which he puts on running eastwards are the body; and as to there being four of these, it is because this body (of ours) consists, of four parts 2. The two at the back then are the thighs; and the two in front the arms; and where the body is that (includes) the head."
35:
4029:
4727:
G. E. Felton, "Electronic computers and mathematicians," Abbreviated
Proceedings of the Oxford Mathematical Conference for Schoolteachers and Industrialists at Trinity College, Oxford, April 8–18, 1957, pp. 12–17, footnote pp. 12–53. This published result is correct to only 7480D, as was established
1863:
Expanded his calculation to 707 decimal places in 1873, but an error introduced at the beginning of his new calculation rendered all of the subsequent digits invalid (the error was found by D. F. Ferguson in 1946).
491:
Graph showing how the record precision of numerical approximations to pi measured in decimal places (depicted on a logarithmic scale), evolved in human history. The time before 1400 is compressed.
3304:
Verification of the binary digits were done simultaneously on two separate computers during the main computation. Both computed 32 hexadecimal digits ending with the 4,152,410,118,610th.
4846:
3286:
1 TB SATA II (Boot drive) – Hitachi (HDS721010CLA332), 3× 2 TB SATA II (Store Pi Output) – Seagate (ST32000542AS) 16× 2 TB SATA II (Computation) – Seagate (ST32000641AS)
4525:
3612:
5550:
52:
5587:
784:
The Sun is eight thousand yojanas and another two thousand yojanas in diameter. From that its peripheral circle comes to be equal to thirty thousand yojanas.
5656:
5212:
5173:
5756:
4150:
4300:
3198:
2906:
99:
1918:
passed unanimously. The bill stalled in the state Senate due to a suggestion of possible commercial motives involving publication of a textbook.
4591:
71:
4728:
by Felton in a second calculation, using formula (5), completed in 1958 but apparently unpublished. For a detailed account of calculations of
4803:
78:
5706:
5112:
5054:
5826:
5608:
4536:
4634:
4224:
4125:
1775:
5078:
5042:
4401:
1891:
212:
85:
5099:
4919:
4464:
4008:
3101:
3041:
3013:
2985:
2957:
2929:
2879:
118:
5031:
4993:
4982:
5558:
4970:
Bigger slices of Pi (determination of the numerical value of pi reaches 2.16 billion decimal digits) Science News 24 August 1991
4081:
446:
3581:
48× 6 TB HDDs (Computation) + 47× LTO Ultrium 5 1.5 TB Tapes (Checkpoint
Backups) + 12× 4 TB HDDs (Digit Storage)
67:
5856:
5831:
5187:
2577:
191:
1245:
1944:
with each term in the series. Since the 1980s, his series have become the basis for the fastest algorithms currently used by
1810:
56:
5811:
5579:
5148:
481:
has been calculated to 202 trillion decimal digits. The last 100 decimal digits of the latest world record computation are:
417:
5008:
1990:
1555:
309:
207:
3119:
5861:
534:
238:
228:
4111:
1022:
264:
5821:
4869:
3932:
5255:
1057:
92:
5528:
1335:
284:
4305:
4254:
1475:
734:
459:
The table below is a brief chronology of computed numerical values of, or bounds on, the mathematical constant
1606:
711:
from the one brim to the other: it was round all about,... a line of thirty cubits did compass it round about"
484:
7034341087 5351110672 0525610978 1945263024 9604509887 5683914937 4658179610 2004394122 9823988073 3622511852
3107:
1877:
1690:
1306:
279:
45:
5866:
4046:
3845:
1887:
1602:
1576:
1320:
563:
468:
233:
4900:"Vectorization of multiple-precision arithmetic program and 201,326,000 decimal digits of pi calculation"
4431:
4142:
3967:
1652:
4397:
3123:
1748:
1720:
1452:
930:
4501:
4241:
Science and
Civilization in China: Volume 3, Mathematics and the Sciences of the Heavens and the Earth
2382:
1622:
4599:
4343:
3633:
3194:
3190:
2813:
2765:
2690:
2658:
2631:
2604:
2531:
2508:
2477:
2450:
2427:
1376:
439:
294:
259:
5551:"Pi-Challenge - world record attempt by UAS Grisons - University of Applied Sciences of the Grisons"
3018:
2662:
2560:
2024:
2006:
1966:
4291:
3075:
2855:
2835:
2787:
2739:
2713:
2042:
1949:
1931:
729:
629:
610:
399:
334:
324:
4295:
3526:
Verification: 20 hours using
Bellard's 7-term formula, and 28 hours using Plouffe's 4-term formula
2513:
2486:
2459:
2432:
5781:
5731:
5680:
5460:
5237:
4925:
4755:
4560:
4195:
4002:
3949:
3864:
3071:
3046:
2722:
2391:
2189:
1469:
1406:
1391:
289:
4555:
3223:
7.5 TB of disk storage using five 1.5 TB hard disks (Seagate
Barracuda 7200.11 model)
776:
in diameter. Its peripheral circle happens to be thirty three thousand yojanas when calculated.
17:
5310:
5206:
5167:
5058:
4915:
4799:
4630:
4460:
4220:
4187:
4121:
3584:
Verification: 17 hours using
Bellard's 7-term formula, 24 hours using Plouffe's 4-term formula
1700:
889:
879:
5507:
4117:
3924:
5632:
4907:
4878:
4747:
4708:
4671:
4565:
4379:
4323:
4177:
4090:
3941:
3670:
3506:
2229:
2181:
2145:
1433:
181:
5335:
4410:
5815:
5226:
4347:
3210:
3065:
3037:
3009:
2981:
2953:
2925:
2875:
2809:
2761:
2686:
2654:
2627:
2600:
2535:
2504:
2481:
2454:
2386:
1945:
1915:
1352:
432:
409:
378:
361:
339:
5091:
4454:
3283:
96 GiB DDR3 @ 1066 MHz – (12× 8 GiB – 6 channels) – Samsung (M393B1K70BH1)
5486:
3997:. Princeton Theological Seminary Library. Oxford, The Clarendon Press. pp. 302–303.
2990:
1858:
1791:
1667:
1601:, giving the value of pi to 154 digits, 152 of which were correct. First discovered by
1190:
319:
4883:
4860:
4713:
4692:
4676:
4651:
4598:. Department of Information and Computing Sciences, Utrecht University. Archived from
2913:
th hexadecimal digit of pi to be calculated without calculating the preceding digits.
5845:
5657:"StorageReview Calculated 100 Trillion Digits of Pi in 54 days, Besting Google Cloud"
4929:
4450:
4199:
4033:
3992:
3840:
3301:
Verification of the binary digits: 64 hours (Bellard formula), 66 hours (BBP formula)
2900:
2269:
1520:
757:
663:
404:
299:
186:
5757:"StorageReview Lab Breaks Pi Calculation World Record with Over 202 Trillion Digits"
5241:
5191:
5124:
4971:
3953:
487:
4946:
4427:
3171:
2962:
2934:
2884:
2086:
1637:
1598:
1488:
1312:
1282:
1172:
518:
304:
3241:
Verification of the binary digits used a network of 9 Desktop PCs during 34 hours.
5808:
5230:
5152:
4214:
4170:
Vidyottama
Sanatana: International Journal of Hindu Science and Religious Studies
3371:
with 2× Intel Xeon E5-2690 @ 2.9 GHz – (16 physical cores, 32 hyperthreaded)
5851:
3280:
with 2× Intel Xeon X5680 @ 3.33 GHz – (12 physical cores, 24 hyperthreaded)
2818:
2770:
2695:
2636:
2609:
2555:
2540:
2273:
2135:
2046:
1561:
1538:
1148:
1084:
761:
329:
314:
269:
243:
135:
34:
5580:"Die FH Graubünden kennt Pi am genauesten – Weltrekord! - News - FH Graubünden"
5360:
4734:
Wrench, J. W. Jr. (1960). "The evolution of extended decimal approximations to
4383:
4328:
4311:
4095:
4076:
1296:
All records from 1400 onwards are given as the number of correct decimal places
4911:
3923:
David H. Bailey; Jonathan M. Borwein; Peter B. Borwein; Simon
Plouffe (1997).
3797:
3755:
3719:
3678:
3620:
3569:
3514:
1984:
1732:
926:
805:
725:
4899:
4273:≈ 2,827,433,388,233/9×10 = 3.14159 26535 92222..., good to 10 decimal places.
4191:
4182:
4288:, author: Adolf P. Youschkevitch, chief editor: Boris A. Rosenfeld, p. 256
3115:
3111:
1503:
1227:
1121:
852:
591:
274:
5231:"Computation of 2700 billion decimal digits of Pi using a Desktop Computer"
3520:
Computation: 1× n1-megamem-96 (96 vCPU, 1.4 TB) with 30 TB of SSD
3185:
All records from Dec 2009 onwards are calculated and verified on commodity
5285:
4751:
4569:
4502:"Detérmination de la demi-circonférence d'un cercle dont le diameter est
2792:
2744:
2668:
2364:
2342:
2320:
2300:
2278:
2186:
2163:
995:
885:
5435:
5385:
4759:
3803:
Computation: 2 x Intel Xeon
Platinum 8592+ (128 cores, 1.0 TiB RAM)
3523:
Storage: 24× n1-standard-16 (16 vCPU, 60 GB) with 10 TB of SSD
2100:
All records from 1949 onwards were calculated with electronic computers.
5263:
4166:"On The Value Implied In The Data Referred To In The Mahābhārata for π"
3994:
The
Satapatha-brahmana, according to the text of the Madhyandina school
3945:
3127:
2211:
1905:
1095:
966:
635:
Instructions on how to construct a circular altar from oblong bricks:
467:). For more detailed explanations for some of these calculations, see
3339:
Verification: 1.86 days (Bellard formula) and 4.94 days (BBP formula)
2718:
2582:
773:
383:
5707:"105 Trillion Pi Digits: The Journey to a New Pi Calculation Record"
4165:
3131:
3083:
3079:
2113:
750:
708:
701:
486:
4032:
This article incorporates text from this source, which is in the
3229:
Computation of the binary digits (Chudnovsky algorithm): 103 days
3460:
with 4× Xeon E7-8890 v3 @ 2.50 GHz (72 cores, 144 threads)
3374:
128 GiB DDR3 @ 1600 MHz – 8× 16 GiB – 8 channels
2860:
New homemade parallel computer (details unknown, not verified)
5461:"Hexadecimal Digits are Correct! – pi2e trillion digits of pi"
3232:
Verification of the binary digits (Bellard's formula): 13 days
3186:
1605:
in a library in Oxford, England in the 1780s, and reported to
28:
5837:
Google's web service making all 100 trillion digits available
2192:(London), calculated 10,021 digits, but not all were correct
5529:"Calculating Pi: My attempt at breaking the Pi World Record"
4077:"Birth, growth and computation of pi to ten trillion digits"
3761:
Computation: 2 x AMD EPYC 9754 (128 cores, 1.5 TiB RAM)
2840:
Homemade parallel computer (details unknown, not verified)
4904:
Proceedings Supercomputing Vol.II: Science and Applications
4349:
Canon mathematicus seu ad triangula : cum adpendicibus
4023:
The Sacred Books of the East: The Satapatha-Brahmana, pt. 3
3725:
Computation: 2 x AMD EPYC 9654 (96 cores, 1.5 TiB RAM)
1910:
Came close to legislating the value 3.2 (among others) for
460:
144:
5113:
ftp://pi.super-computing.org/README.our_latest_record_206b
3684:
Computation: n2-highmem-128 (128 vCPU and 864 GB RAM)
3189:
computers with commercially available parts. All use the
4627:
The Penguin Dictionary of Curious and Interesting Numbers
3575:
Computation: 4× Intel Xeon CPU E7-4880 v2 @ 2.50 GHz
4847:
French Alternative Energies and Atomic Energy Commission
4376:
Ideae mathematicae pars prima, sive methodus polygonorum
4255:"Indian Literature on Mathematics During 1400–1800 A.D."
1815:
Calculated 250 decimal places, but not all were correct
1797:
Calculated 205 decimal places, but not all were correct
1780:
Calculated 208 decimal places, but not all were correct
1737:
Calculated 140 decimal places, but not all were correct
1581:
Calculated 127 decimal places, but not all were correct
772:
The Moon is handed down by memory to be eleven thousand
5836:
5609:"Calculating 100 trillion digits of pi on Google Cloud"
5079:
ftp://pi.super-computing.org/README.our_last_record_68b
5043:
ftp://pi.super-computing.org/README.our_last_record_51b
5032:
ftp://pi.super-computing.org/README.our_last_record_6b
4994:
ftp://pi.super-computing.org/README.our_last_record_4b
4983:
ftp://pi.super-computing.org/README.our_last_record_3b
4479:
Benjamin Wardhaugh, "Filling a Gap in the History of
4075:
Ravi P. Agarwal; Hans Agarwal; Syamal K. Sen (2013).
3074:(64 nodes), Department of Information Science at the
1525:
Calculated pi to 72 digits, but not all were correct
1936:
Found several rapidly converging infinite series of
1761:) is irrational, and mentioned the possibility that
5732:"Limping to a new Pi Record of 105 Trillion Digits"
4845:to 16167D was computed on an IBM 704 system at the
3639:
Verification using the 4-term BBP formula: 34 hours
59:. Unsourced material may be challenged and removed.
5410:
5055:"Record for pi : 51.5 billion decimal digits"
5125:"Record for pi : 206 billion decimal digits"
4972:http://www.encyclopedia.com/doc/1G1-11235156.html
5508:"The Pi Record Returns to the Personal Computer"
4629:(Revised ed.). Penguin Books. p. 33.
4433:'Squaring the Circle': a History of the Problem
3632:38× 16 TB HDDs (Of those, 34 are used for
3425:Verification using Bellard's formula: 182 hours
2856:Gregory V. Chudnovsky & David V. Chudnovsky
2836:Gregory V. Chudnovsky & David V. Chudnovsky
2788:Gregory V. Chudnovsky & David V. Chudnovsky
2740:Gregory V. Chudnovsky & David V. Chudnovsky
2714:Gregory V. Chudnovsky & David V. Chudnovsky
4514:Nova Acta Academiae Scientiarum Petropolitanae
3791:Jordan Ranous, Kevin O’Brien and Brian Beeler
3749:Jordan Ranous, Kevin O’Brien and Brian Beeler
3469:Verification using Bellard's formula: 28 hours
3380:Verification using Bellard's formula: 46 hours
3613:University of Applied Sciences of the Grisons
2112:The first to use an electronic computer (the
440:
8:
5092:"plouffe.fr/simon/constants/Pi68billion.txt"
4859:Shanks, Daniel; Wrench, John W. J.r (1962).
4819:Genuys, F. (1958). "Dix milles decimales de
4284:approximated 2π to 9 sexagesimal digits.
4849:in Paris, by means of the program of Genuys
4369:
4363:
3122:, Center for Computational Sciences at the
5782:"Pi Record Smashed at 202 Trillion Digits"
5286:"y-cruncher – A Multi-Threaded Pi Program"
4564:. Vol. 102, no. 5. p. 342.
4459:(paperback ed.). Dover Publications.
4243:. Taipei: Caves Books, Ltd. Volume 3, 100.
3764:Storage: 1,105 TB (36× 30.72 TB)
3690:Verification: 12.6 hours using BBP formula
3298:Verification of the conversion: 45.6 hours
447:
433:
130:
4882:
4712:
4675:
4439:. Cambridge University Press. p. 27.
4327:
4316:Missouri Journal of Mathematical Sciences
4181:
4094:
4070:
4068:
4066:
4064:
4062:
4060:
3918:
3916:
3914:
3912:
3910:
3908:
3906:
3904:
3902:
3900:
3898:
3896:
3894:
3626:Computation: AMD Epyc 7542 @ 2.9 GHz
119:Learn how and when to remove this message
4693:"Some comments on a NORC computation of
4296:"Ghiyath al-Din Jamshid Mas'ud al-Kashi"
3892:
3890:
3888:
3886:
3884:
3882:
3880:
3878:
3876:
3874:
3806:Storage: 1.5 PB (28× 61.44 TB)
3728:Storage: 583 TB (19× 30.72 TB)
3413:using y-cruncher 0.6.3 by Alexander Yee
3151:
3110:(640 nodes), single node speed is 147.2
2066:
1940:, which can compute 8 decimal places of
1474:Used a geometrical method equivalent to
1265:
499:
4794:Arndt, Jörg; Haenel, Christoph (2001).
4590:Lopez-Ortiz, Alex (February 20, 1998).
4301:MacTutor History of Mathematics Archive
3856:
3457:using y-cruncher 0.7.1 by Alexander Yee
3368:using y-cruncher 0.6.3 by Alexander Yee
3336:using y-cruncher 0.5.5 by Alexander Yee
3277:using y-cruncher 0.5.4 by Alexander Yee
391:
370:
347:
251:
220:
199:
173:
142:
5211:: CS1 maint: archived copy as title (
5204:
5172:: CS1 maint: archived copy as title (
5165:
4789:
4378:(in Latin). apud Ioannem Keerbergium.
4116:. Princeton University Press. p.
4000:
3238:Verification of the conversion: 3 days
5003:
5001:
4941:
4939:
4787:
4785:
4783:
4781:
4779:
4777:
4775:
4773:
4771:
4769:
4691:Nicholson, S. C.; Jeenel, J. (1955).
4620:
4618:
4616:
4533:Southern Connecticut State University
4025:. Clarendon Press. 1894. p. 303.
3292:Computation of binary digits: 80 days
3289:Windows Server 2008 R2 Enterprise x64
3226:64 bit Red Hat Fedora 10 distribution
884:Unknown method giving a figure for a
7:
5487:"Google Cloud Topples the Pi Record"
4592:"Indiana Bill sets value of Pi to 3"
4262:Indian Journal of History of Science
3416:with 2× Xeon E5-4650L @ 2.6 GHz
509:Description/Computation method used
57:adding citations to reliable sources
5102:from the original on 5 August 2022.
4312:"Al-Risāla Al-Muhītīyya: A Summary"
3408:Sandon Nash Van Ness "houkouonchi"
1678:Introductio in Analysin Infinitorum
739:Anaxagoras did not offer a solution
3578:320 GB DDR3 PC3-8500R ECC RAM
1609:, who published an account of it.
25:
4884:10.1090/S0025-5718-1962-0136051-9
4714:10.1090/S0025-5718-1955-0075672-5
4677:10.1090/S0025-5718-1950-0037597-6
4660:to more than 2000 decimal places"
4456:A History of Japanese Mathematics
3419:192 GiB DDR3 @ 1333 MHz
2361:Jean Guilloud and Martine Bouyer
1715:Pointed out the possibility that
5780:Yee, Alexander J. (2024-06-28).
5730:Yee, Alexander J. (2024-03-14).
5436:"Pi: Notable large computations"
5386:"Pi: Notable large computations"
4153:from the original on 7 May 2023.
4082:Advances in Difference Equations
4027:
2159:S. C. Nicholson & J. Jeenel
68:"Chronology of computation of π"
33:
5590:from the original on 2021-08-17
4554:Hayes, Brian (September 2014).
4453:; Eugene Smith, David (2004) .
3295:Conversion to base 10: 8.2 days
2317:Jean Guilloud and J. Filliatre
44:needs additional citations for
18:Chronology of computation of pi
5009:"GENERAL COMPUTATIONAL UPDATE"
3991:Eggeling, Julius (1882–1900).
3235:Conversion to base 10: 12 days
3199:Bailey–Borwein–Plouffe formula
3193:for the main computation, and
2339:Jean Guilloud and M. Dichampt
2051:Made use of a desk calculator
2029:Made use of a desk calculator
2011:Made use of a desk calculator
1971:Made use of a desk calculator
1:
5755:Ranous, Jordan (2024-06-28).
5705:Ranous, Jordan (2024-03-13).
4526:"Why 140 Digits of Pi Matter"
4310:Azarian, Mohammad K. (2010).
4007:: CS1 maint: date and year (
3422:24× 4 TB + 30× 3 TB
1892:Lindemann–Weierstrass theorem
1560:Introduced the Greek letter '
5557:. 2021-08-14. Archived from
5057:. 2005-12-24. Archived from
4898:Kanada, Y. (November 1988).
4625:Wells, D. G. (May 1, 1998).
4596:the news.answers WWW archive
4398:Grienbergerus, Christophorus
4164:Jadhav, Dipak (2018-01-01).
4051:www-history.mcs.st-and.ac.uk
3971:Biblical Archaeology Society
3865:"y-cruncher validation file"
3217:Core i7 CPU at 2.93 GHz
1680:and assured its popularity.
5822:Kanada Laboratory home page
5633:"100 Trillion Digits of Pi"
5361:"Pi – 12.1 Trillion Digits"
4652:"An ENIAC determination of
3813:
3771:
3735:
3697:
3646:
3591:
3533:
3476:
3432:
3387:
3346:
3311:
3248:
3201:, or both for verification.
3166:
3138:
3090:
3054:
3026:
2998:
2970:
2942:
2891:
2864:
2844:
2824:
2798:
2776:
2750:
2728:
2702:
2675:
2643:
2616:
2589:
2566:
2546:
2520:
2493:
2466:
2439:
2416:
2398:
2371:
2350:
2328:
2308:
2286:
2258:
2239:
2218:
2197:
2170:
2151:
2124:
2081:
2053:
2031:
2013:
1973:
1920:
1866:
1847:
1832:
1817:
1799:
1782:
1739:
1658:
1643:
1628:
1611:
1583:
1544:
1527:
1509:
1494:
1479:
1458:
1441:
1422:
1412:
1397:
1382:
1367:
1341:
1324:
1277:
1251:
1233:
1215:
1178:
1160:
1136:
1107:
1072:
1043:
1010:
981:
954:
914:
867:
839: < 3.142857...
835:3.140845... <
834:
793:
713:
689:
642:
617:
598:
579:
551:
514:
511:
5883:
4906:. pp. 117–128 vol.2.
4870:Mathematics of Computation
4841:This unpublished value of
4485:Mathematical Intelligencer
4483:: An Exciting Discovery",
4409:(in Latin). Archived from
4096:10.1186/1687-1847-2013-100
3933:Mathematical Intelligencer
3163:
3160:
3157:
3154:
3114:, computer memory is 13.5
2234:Pegasus computer (London)
2078:
2075:
2072:
2069:
1599:Philadelphia, Pennsylvania
1274:
1271:
1268:
756:verses: 6.12.40-45 of the
508:
505:
502:
5586:(in German). 2021-08-16.
5336:"Pi – 10 Trillion Digits"
4912:10.1109/SUPERC.1988.74139
4229:– via Google Books.
4149:. University Of Rutgers.
3183:
2109:G. W. Reitwiesner et al.
2098:
1765:might be transcendental.
1410:
1405:
1294:
239:Madhava's correction term
5311:"Pi – 5 Trillion Digits"
4650:Reitwiesner, G. (1950).
4329:10.35834/mjms/1312233136
4306:University of St Andrews
4239:Needham, Joseph (1986).
4183:10.25078/ijhsrs.v2i1.511
3968:"Origins: 3.14159265..."
3120:Gauss–Legendre algorithm
1476:Richardson extrapolation
1311:Discovered the infinite
735:compass and straightedge
418:Other topics related to
4740:The Mathematics Teacher
4556:"Pencil, Paper, and Pi"
4403:Elementa Trigonometrica
3636:and 4 used for storage)
3377:Windows Server 2012 x64
1878:Ferdinand von Lindemann
1691:Johann Heinrich Lambert
1672:Used the Greek letter '
1307:Madhava of Sangamagrama
5857:History of mathematics
4500:Vega, Géorge (1795) .
4428:Hobson, Ernest William
4370:
4364:
4147:sites.math.rutgers.edu
4141:Wilson, David (2000).
3108:T2K Open Supercomputer
1991:elementary proof that
1577:Thomas Fantet de Lagny
1321:Leibniz formula for pi
707:"...a molten sea, ten
492:
143:mathematical constant
5681:"The Need for Speed!"
4524:Sandifer, Ed (2006).
4110:Plofker, Kim (2009).
3220:6 GiB (1) of RAM
3124:University of Tsukuba
2507:, Sayaka Yoshino and
1749:Adrien-Marie Legendre
1607:Jean-Étienne Montucla
1453:Christoph Grienberger
931:Book of the Later Han
876:Between 1 BC and AD 5
490:
192:Use in other formulae
5807:Borwein, Jonathan, "
4865:to 100,000 decimals"
4752:10.5951/MT.53.8.0644
4570:10.1511/2014.110.342
4292:Robertson, Edmund F.
4113:Mathematics in India
4047:"4 II. Sulba Sutras"
3687:Storage: 663 TB
3629:1 TiB of memory
3191:Chudnovsky algorithm
1597:Calculation made in
1439:Pupil of Van Ceulen
890:implies a value for
136:a series of articles
53:improve this article
5862:Record progressions
4384:2027/ucm.5320258006
4290:O'Connor, John J.;
4253:Bag, A. K. (1980).
4143:"The History of Pi"
3846:Approximations of π
3815:202,112,290,000,000
3773:105,000,000,000,000
3736:100,000,000,000,000
3699:100,000,000,000,000
3167:Decimal places
3076:University of Tokyo
3021:(64 of 128 nodes)
2082:Decimal places
1950:Chudnovsky brothers
1932:Srinivasa Ramanujan
1653:Yoshisuke Matsunaga
1278:Decimal places
630:Shatapatha Brahmana
564:Ancient Babylonians
515:Decimal places
400:Squaring the circle
335:Chudnovsky brothers
325:Srinivasa Ramanujan
5814:2006-12-07 at the
5090:Kanada, Yasumasa.
4561:American Scientist
3946:10.1007/BF03024340
3925:"The quest for pi"
3648:62,831,853,071,796
3611:Team DAViS of the
3593:50,000,000,000,000
3535:31,415,926,535,897
3478:22,459,157,718,361
3463:1.25 TiB DDR4
3434:13,300,000,000,000
3389:12,100,000,000,050
3348:10,000,000,000,050
3072:HITACHI SR8000/MPP
3047:HITACHI SR8000/MPP
3034:20 September 1999
1916:House Bill No. 246
1904:The U.S. state of
1776:William Rutherford
1470:Christiaan Huygens
1407:Ludolph van Ceulen
1392:Adriaan van Roomen
493:
469:Approximations of
290:Ludolph van Ceulen
5761:StorageReview.com
5711:StorageReview.com
5661:storagereview.com
5613:Google Cloud Blog
5467:. 31 October 2016
5266:on 31 August 2015
4805:978-3-642-56735-3
4510:figures decimals"
3832:
3831:
3563:Timothy Mullican
3449:11 November 2016
3360:28 December 2013
3313:5,000,000,000,000
3250:2,699,999,990,000
3207:31 December 2009
3195:Bellard's formula
3145:
3144:
3140:2,576,980,377,524
3102:Daisuke Takahashi
3092:1,241,100,000,000
3068:& 9 man team
3062:24 November 2002
3042:Daisuke Takahashi
3014:Daisuke Takahashi
2986:Daisuke Takahashi
2958:Daisuke Takahashi
2930:Daisuke Takahashi
2880:Daisuke Takahashi
2806:19 November 1989
2060:
2059:
1794:and Strassnitzky
1319:now known as the
1259:
1258:
730:square the circle
592:Ancient Sumerians
535:Ancient Egyptians
477:As of July 2024,
457:
456:
129:
128:
121:
103:
16:(Redirected from
5874:
5832:Takahashi's page
5796:
5795:
5793:
5792:
5777:
5771:
5770:
5768:
5767:
5752:
5746:
5745:
5743:
5742:
5727:
5721:
5720:
5718:
5717:
5702:
5696:
5695:
5693:
5692:
5677:
5671:
5670:
5668:
5667:
5653:
5647:
5646:
5644:
5643:
5629:
5623:
5622:
5620:
5619:
5605:
5599:
5598:
5596:
5595:
5576:
5570:
5569:
5567:
5566:
5547:
5541:
5540:
5538:
5536:
5525:
5519:
5518:
5516:
5514:
5504:
5498:
5497:
5495:
5493:
5483:
5477:
5476:
5474:
5472:
5457:
5451:
5450:
5448:
5446:
5432:
5426:
5425:
5423:
5421:
5407:
5401:
5400:
5398:
5396:
5382:
5376:
5375:
5373:
5371:
5357:
5351:
5350:
5348:
5346:
5332:
5326:
5325:
5323:
5321:
5307:
5301:
5300:
5298:
5296:
5282:
5276:
5275:
5273:
5271:
5262:. Archived from
5252:
5246:
5245:
5236:. 4th revision.
5235:
5227:Bellard, Fabrice
5223:
5217:
5216:
5210:
5202:
5200:
5199:
5190:. Archived from
5184:
5178:
5177:
5171:
5163:
5161:
5160:
5151:. Archived from
5145:
5139:
5138:
5136:
5135:
5121:
5115:
5110:
5104:
5103:
5087:
5081:
5076:
5070:
5069:
5067:
5066:
5051:
5045:
5040:
5034:
5029:
5023:
5022:
5020:
5019:
5005:
4996:
4991:
4985:
4980:
4974:
4968:
4962:
4961:
4959:
4958:
4953:. 24 August 1991
4943:
4934:
4933:
4895:
4889:
4888:
4886:
4861:"Calculation of
4856:
4850:
4839:
4833:
4832:
4816:
4810:
4809:
4791:
4764:
4763:
4725:
4719:
4718:
4716:
4688:
4682:
4681:
4679:
4647:
4641:
4640:
4622:
4611:
4610:
4608:
4607:
4587:
4581:
4580:
4578:
4576:
4551:
4545:
4543:
4541:
4535:. Archived from
4530:
4521:
4509:
4505:
4497:
4491:
4482:
4477:
4471:
4470:
4447:
4441:
4440:
4438:
4424:
4418:
4417:
4415:
4408:
4394:
4388:
4387:
4373:
4367:
4360:
4354:
4353:
4340:
4334:
4333:
4331:
4308:
4282:
4276:
4275:
4272:
4259:
4250:
4244:
4237:
4231:
4230:
4210:
4204:
4203:
4185:
4161:
4155:
4154:
4138:
4132:
4131:
4107:
4101:
4100:
4098:
4072:
4055:
4054:
4043:
4037:
4031:
4030:
4026:
4019:
4013:
4012:
4006:
3998:
3988:
3982:
3981:
3979:
3978:
3964:
3958:
3957:
3929:
3920:
3869:
3868:
3861:
3828:
3826:
3823:
3783:
3781:
3741:
3705:
3671:Emma Haruka Iwao
3662:
3660:
3656:
3603:
3601:
3560:29 January 2020
3555:
3554:
3550:
3546:
3542:
3507:Emma Haruka Iwao
3498:
3497:
3493:
3489:
3485:
3444:
3442:
3399:
3397:
3354:
3328:17 October 2011
3323:
3321:
3264:
3260:
3258:
3179:
3152:
2963:HITAC S-3800/480
2950:11 October 1995
2935:HITAC S-3800/480
2909:that allows the
2885:HITAC S-3800/480
2383:Kazunori Miyoshi
2253:IBM 704 (Paris)
2250:Francois Genuys
2230:George E. Felton
2208:Francois Genuys
2190:Pegasus computer
2182:George E. Felton
2146:Liouville number
2143:
2119:
2094:
2067:
1994:
1955:
1943:
1939:
1923:
1913:
1885:
1764:
1760:
1756:
1718:
1698:
1675:
1623:Toshikiyo Kamata
1564:
1434:Willebrord Snell
1365:
1364:
1360:
1336:Jamshīd al-Kāshī
1318:
1290:
1266:
1213:
1212:
1208:
1203:
1202:
1198:
1158:
1157:
1134:
1133:
1129:
1104:
1103:
1099:
1092:
1070:
1069:
1065:
1041:
1040:
1036:
1030:
1008:
1007:
1003:
979:
978:
974:
952:
951:
947:
941:
940:
911:
910:
908:
907:
899:
893:
865:
864:
860:
838:
832:
831:
827:
822:
818:
817:
813:
747:400 BC to AD 400
686:
685:
683:
682:
674:
651:
650:
646:
577:
576:
572:
548:
547:
543:
500:
480:
472:
466:
449:
442:
435:
421:
413:
285:Jamshīd al-Kāshī
182:Area of a circle
168:
167:
164:
161:
158:
147:
131:
124:
117:
113:
110:
104:
102:
61:
37:
29:
21:
5882:
5881:
5877:
5876:
5875:
5873:
5872:
5871:
5842:
5841:
5816:Wayback Machine
5804:
5799:
5790:
5788:
5786:NumberWorld.org
5779:
5778:
5774:
5765:
5763:
5754:
5753:
5749:
5740:
5738:
5736:NumberWorld.org
5729:
5728:
5724:
5715:
5713:
5704:
5703:
5699:
5690:
5688:
5687:. 19 April 2023
5685:numberworld.org
5679:
5678:
5674:
5665:
5663:
5655:
5654:
5650:
5641:
5639:
5637:numberworld.org
5631:
5630:
5626:
5617:
5615:
5607:
5606:
5602:
5593:
5591:
5578:
5577:
5573:
5564:
5562:
5549:
5548:
5544:
5534:
5532:
5527:
5526:
5522:
5512:
5510:
5506:
5505:
5501:
5491:
5489:
5485:
5484:
5480:
5470:
5468:
5459:
5458:
5454:
5444:
5442:
5440:numberworld.org
5434:
5433:
5429:
5419:
5417:
5409:
5408:
5404:
5394:
5392:
5390:numberworld.org
5384:
5383:
5379:
5369:
5367:
5365:numberworld.org
5359:
5358:
5354:
5344:
5342:
5340:numberworld.org
5334:
5333:
5329:
5319:
5317:
5315:numberworld.org
5309:
5308:
5304:
5294:
5292:
5290:numberworld.org
5284:
5283:
5279:
5269:
5267:
5254:
5253:
5249:
5233:
5229:(11 Feb 2010).
5225:
5224:
5220:
5203:
5197:
5195:
5188:"Archived copy"
5186:
5185:
5181:
5164:
5158:
5156:
5149:"Archived copy"
5147:
5146:
5142:
5133:
5131:
5129:www.cecm.sfu.ca
5123:
5122:
5118:
5111:
5107:
5089:
5088:
5084:
5077:
5073:
5064:
5062:
5053:
5052:
5048:
5041:
5037:
5030:
5026:
5017:
5015:
5013:www.cecm.sfu.ca
5007:
5006:
4999:
4992:
4988:
4981:
4977:
4969:
4965:
4956:
4954:
4945:
4944:
4937:
4922:
4897:
4896:
4892:
4864:
4858:
4857:
4853:
4840:
4836:
4822:
4818:
4817:
4813:
4806:
4793:
4792:
4767:
4737:
4733:
4731:
4726:
4722:
4696:
4690:
4689:
4685:
4659:
4655:
4649:
4648:
4644:
4637:
4624:
4623:
4614:
4605:
4603:
4589:
4588:
4584:
4574:
4572:
4553:
4552:
4548:
4539:
4528:
4523:
4507:
4503:
4499:
4498:
4494:
4490:(1) (2016), 6-7
4480:
4478:
4474:
4467:
4449:
4448:
4444:
4436:
4426:
4425:
4421:
4413:
4406:
4396:
4395:
4391:
4362:
4361:
4357:
4344:Viète, François
4342:
4341:
4337:
4309:
4289:
4283:
4279:
4270:
4257:
4252:
4251:
4247:
4238:
4234:
4227:
4212:
4211:
4207:
4163:
4162:
4158:
4140:
4139:
4135:
4128:
4109:
4108:
4104:
4074:
4073:
4058:
4045:
4044:
4040:
4028:
4021:
4020:
4016:
3999:
3990:
3989:
3985:
3976:
3974:
3966:
3965:
3961:
3927:
3922:
3921:
3872:
3863:
3862:
3858:
3854:
3837:
3824:
3821:
3819:
3817:
3779:
3777:
3775:
3739:
3737:
3703:
3701:
3658:
3654:
3651:
3650:
3608:14 August 2021
3599:
3597:
3595:
3552:
3548:
3544:
3540:
3538:
3537:
3495:
3491:
3487:
3483:
3481:
3480:
3440:
3438:
3436:
3405:8 October 2014
3395:
3393:
3391:
3352:
3350:
3319:
3317:
3315:
3262:
3256:
3254:
3252:
3211:Fabrice Bellard
3169:
3168:
3161:Implementation
3150:
3066:Yasumasa Kanada
3056:206,158,430,000
3038:Yasumasa Kanada
3010:Yasumasa Kanada
2982:Yasumasa Kanada
2954:Yasumasa Kanada
2926:Yasumasa Kanada
2922:28 August 1995
2912:
2876:Yasumasa Kanada
2814:Yoshiaki Tamura
2810:Yasumasa Kanada
2766:Yoshiaki Tamura
2762:Yasumasa Kanada
2691:Yoshiaki Tamura
2687:Yasumasa Kanada
2659:Yoshiaki Tamura
2655:Yasumasa Kanada
2632:Yoshiaki Tamura
2628:Yasumasa Kanada
2605:Yoshiaki Tamura
2601:Yasumasa Kanada
2597:September 1986
2578:David H. Bailey
2536:Yasumasa Kanada
2532:Yasunori Ushiro
2509:Yoshiaki Tamura
2505:Yasumasa Kanada
2482:Yasumasa Kanada
2478:Yoshiaki Tamura
2455:Yasumasa Kanada
2451:Yoshiaki Tamura
2428:Yoshiaki Tamura
2387:Yasumasa Kanada
2141:
2117:
2116:) to calculate
2106:September 1949
2084:
2083:
2076:Implementation
2065:
2021:September 1947
1992:
1953:
1946:Yasumasa Kanada
1941:
1937:
1921:
1911:
1883:
1762:
1758:
1754:
1716:
1696:
1673:
1638:Katahiro Takebe
1562:
1511:
1362:
1358:
1357:
1353:Valentinus Otho
1316:
1280:
1279:
1264:
1210:
1206:
1205:
1200:
1196:
1195:
1155:
1153:
1131:
1127:
1126:
1101:
1097:
1096:
1094:
1093:< 3.1415927
1090:
1089:3.1415926 <
1067:
1063:
1062:
1038:
1034:
1033:
1032:
1028:
1005:
1001:
1000:
976:
972:
971:
949:
945:
944:
943:
938:
936:
905:
903:
901:
897:
896:
891:
862:
858:
857:
836:
829:
825:
824:
820:
815:
811:
810:
786:
782:
778:
770:
765:
704:(1 Kings 7:23)
680:
678:
676:
672:
671:
648:
644:
643:
611:Ancient Chinese
574:
570:
569:
545:
541:
540:
521:
516:
498:
485:
478:
470:
464:
453:
419:
411:
379:Indiana pi bill
362:A History of Pi
340:Yasumasa Kanada
165:
162:
159:
156:
154:
145:
125:
114:
108:
105:
62:
60:
50:
38:
23:
22:
15:
12:
11:
5:
5880:
5878:
5870:
5869:
5864:
5859:
5854:
5844:
5843:
5840:
5839:
5834:
5829:
5824:
5819:
5809:The Life of Pi
5803:
5802:External links
5800:
5798:
5797:
5772:
5747:
5722:
5697:
5672:
5648:
5624:
5600:
5571:
5542:
5531:. 26 June 2019
5520:
5499:
5478:
5452:
5427:
5402:
5377:
5352:
5327:
5302:
5277:
5247:
5218:
5179:
5140:
5116:
5105:
5096:www.plouffe.fr
5082:
5071:
5046:
5035:
5024:
4997:
4986:
4975:
4963:
4935:
4920:
4890:
4862:
4851:
4834:
4820:
4811:
4804:
4796:Pi - Unleashed
4765:
4746:(8): 644–650.
4735:
4729:
4720:
4694:
4683:
4657:
4653:
4642:
4636:978-0140261493
4635:
4612:
4582:
4546:
4542:on 2012-02-04.
4512:. Supplement.
4506:, exprimée en
4492:
4472:
4465:
4451:Yoshio, Mikami
4442:
4419:
4416:on 2014-02-01.
4389:
4355:
4335:
4277:
4245:
4232:
4226:978-9570502688
4225:
4205:
4156:
4133:
4127:978-0691120676
4126:
4102:
4056:
4038:
4014:
3983:
3959:
3870:
3855:
3853:
3850:
3849:
3848:
3843:
3836:
3833:
3830:
3829:
3812:
3809:
3808:
3807:
3804:
3801:
3792:
3789:
3785:
3784:
3770:
3767:
3766:
3765:
3762:
3759:
3750:
3747:
3746:14 March 2024
3743:
3742:
3734:
3731:
3730:
3729:
3726:
3723:
3714:
3713:Jordan Ranous
3711:
3710:18 April 2023
3707:
3706:
3696:
3693:
3692:
3691:
3688:
3685:
3682:
3673:
3668:
3667:21 March 2022
3664:
3663:
3645:
3642:
3641:
3640:
3637:
3630:
3627:
3624:
3615:
3609:
3605:
3604:
3590:
3587:
3586:
3585:
3582:
3579:
3576:
3573:
3564:
3561:
3557:
3556:
3532:
3529:
3528:
3527:
3524:
3521:
3518:
3509:
3504:
3503:14 March 2019
3500:
3499:
3475:
3472:
3471:
3470:
3467:
3464:
3461:
3458:
3453:
3450:
3446:
3445:
3431:
3428:
3427:
3426:
3423:
3420:
3417:
3414:
3409:
3406:
3402:
3401:
3386:
3383:
3382:
3381:
3378:
3375:
3372:
3369:
3364:
3363:Shigeru Kondo
3361:
3357:
3356:
3345:
3342:
3341:
3340:
3337:
3332:
3331:Shigeru Kondo
3329:
3325:
3324:
3310:
3307:
3306:
3305:
3302:
3299:
3296:
3293:
3290:
3287:
3284:
3281:
3278:
3273:
3272:Shigeru Kondo
3270:
3269:2 August 2010
3266:
3265:
3247:
3244:
3243:
3242:
3239:
3236:
3233:
3230:
3227:
3224:
3221:
3218:
3213:
3208:
3204:
3203:
3181:
3180:
3165:
3162:
3159:
3156:
3149:
3146:
3143:
3142:
3137:
3134:
3105:
3099:
3098:29 April 2009
3095:
3094:
3089:
3086:
3069:
3063:
3059:
3058:
3053:
3050:
3044:
3035:
3031:
3030:
3028:68,719,470,000
3025:
3022:
3019:HITACHI SR8000
3016:
3007:
3003:
3002:
3000:51,539,600,000
2997:
2994:
2991:HITACHI SR2201
2988:
2979:
2975:
2974:
2969:
2966:
2960:
2951:
2947:
2946:
2941:
2938:
2932:
2923:
2919:
2918:
2916:
2914:
2910:
2903:
2898:
2894:
2893:
2892:3,221,220,000
2890:
2888:
2882:
2873:
2869:
2868:
2863:
2861:
2858:
2853:
2849:
2848:
2843:
2841:
2838:
2833:
2829:
2828:
2823:
2821:
2819:HITAC S-820/80
2816:
2807:
2803:
2802:
2797:
2795:
2790:
2785:
2781:
2780:
2775:
2773:
2771:HITAC S-820/80
2768:
2759:
2755:
2754:
2749:
2747:
2742:
2737:
2733:
2732:
2727:
2725:
2716:
2711:
2707:
2706:
2701:
2698:
2696:HITAC S-820/80
2693:
2684:
2680:
2679:
2674:
2671:
2666:
2663:Yoshinobu Kubo
2652:
2648:
2647:
2642:
2639:
2637:HITAC S-810/20
2634:
2625:
2621:
2620:
2615:
2612:
2610:HITAC S-810/20
2607:
2598:
2594:
2593:
2588:
2585:
2580:
2575:
2571:
2570:
2565:
2563:
2561:Symbolics 3670
2558:
2553:
2549:
2548:
2545:
2543:
2541:HITAC S-810/20
2538:
2529:
2525:
2524:
2519:
2516:
2511:
2502:
2498:
2497:
2492:
2489:
2484:
2475:
2471:
2470:
2465:
2462:
2457:
2448:
2444:
2443:
2438:
2435:
2430:
2425:
2421:
2420:
2415:
2413:
2410:
2409:Jean Guilloud
2407:
2403:
2402:
2397:
2394:
2389:
2380:
2376:
2375:
2370:
2367:
2362:
2359:
2355:
2354:
2349:
2346:
2340:
2337:
2333:
2332:
2327:
2324:
2318:
2315:
2314:February 1966
2311:
2310:
2307:
2304:
2298:
2295:
2291:
2290:
2285:
2282:
2276:
2267:
2263:
2262:
2257:
2254:
2251:
2248:
2244:
2243:
2238:
2235:
2232:
2227:
2223:
2222:
2217:
2214:
2209:
2206:
2202:
2201:
2196:
2193:
2184:
2179:
2175:
2174:
2169:
2166:
2160:
2157:
2153:
2152:
2150:
2148:
2138:
2133:
2129:
2128:
2123:
2120:
2110:
2107:
2103:
2102:
2096:
2095:
2080:
2077:
2074:
2071:
2064:
2061:
2058:
2057:
2052:
2049:
2040:
2036:
2035:
2030:
2027:
2025:D. F. Ferguson
2022:
2018:
2017:
2012:
2009:
2007:D. F. Ferguson
2004:
2000:
1999:
1997:
1987:
1982:
1978:
1977:
1972:
1969:
1967:D. F. Ferguson
1964:
1960:
1959:
1957:
1934:
1929:
1925:
1924:
1919:
1908:
1902:
1898:
1897:
1895:
1888:transcendental
1880:
1875:
1871:
1870:
1865:
1861:
1859:William Shanks
1856:
1852:
1851:
1846:
1844:
1841:
1837:
1836:
1831:
1829:
1826:
1822:
1821:
1816:
1813:
1811:Thomas Clausen
1808:
1804:
1803:
1798:
1795:
1792:Zacharias Dase
1789:
1785:
1784:
1781:
1778:
1773:
1769:
1768:
1766:
1751:
1746:
1742:
1741:
1738:
1735:
1730:
1726:
1725:
1723:
1721:transcendental
1713:
1710:
1706:
1705:
1703:
1693:
1688:
1684:
1683:
1681:
1676:' in his book
1670:
1668:Leonhard Euler
1665:
1661:
1660:
1657:
1655:
1650:
1646:
1645:
1642:
1640:
1635:
1631:
1630:
1627:
1625:
1620:
1616:
1615:
1610:
1603:F. X. von Zach
1595:
1592:
1588:
1587:
1582:
1579:
1574:
1570:
1569:
1567:
1558:
1553:
1549:
1548:
1543:
1541:
1536:
1532:
1531:
1526:
1523:
1518:
1514:
1513:
1508:
1506:
1501:
1497:
1496:
1493:
1491:
1486:
1482:
1481:
1478:
1472:
1467:
1463:
1462:
1457:
1455:
1450:
1446:
1445:
1440:
1437:
1431:
1427:
1426:
1421:
1417:
1416:
1411:
1409:
1404:
1400:
1399:
1396:
1394:
1389:
1385:
1384:
1381:
1379:
1377:François Viète
1374:
1370:
1369:
1366:
1355:
1350:
1346:
1345:
1340:
1338:
1333:
1329:
1328:
1323:
1309:
1304:
1300:
1299:
1292:
1291:
1276:
1273:
1270:
1263:
1260:
1257:
1256:
1253:
1250:
1248:
1243:
1239:
1238:
1235:
1232:
1230:
1225:
1221:
1220:
1217:
1214:
1193:
1188:
1184:
1183:
1180:
1177:
1175:
1170:
1166:
1165:
1162:
1159:
1151:
1146:
1142:
1141:
1138:
1135:
1124:
1119:
1115:
1114:
1109:
1106:
1087:
1082:
1078:
1077:
1074:
1071:
1060:
1055:
1051:
1050:
1045:
1042:
1027:3.141024 <
1025:
1020:
1016:
1015:
1012:
1009:
998:
993:
989:
988:
983:
980:
969:
964:
960:
959:
956:
953:
934:
924:
920:
919:
916:
913:
882:
877:
873:
872:
869:
866:
855:
850:
846:
845:
840:
833:
808:
803:
799:
798:
795:
792:
753:
748:
744:
743:
740:
737:
732:
723:
719:
718:
715:
712:
705:
699:
695:
694:
691:
688:
668:
661:
657:
656:
653:
641:
633:
627:
623:
622:
619:
616:
613:
608:
604:
603:
600:
597:
594:
589:
585:
584:
581:
578:
566:
561:
557:
556:
553:
550:
537:
532:
528:
527:
513:
510:
507:
504:
497:
494:
483:
455:
454:
452:
451:
444:
437:
429:
426:
425:
424:
423:
415:
407:
402:
394:
393:
392:Related topics
389:
388:
387:
386:
381:
373:
372:
368:
367:
366:
365:
358:
350:
349:
345:
344:
343:
342:
337:
332:
327:
322:
320:William Shanks
317:
312:
307:
302:
297:
295:François Viète
292:
287:
282:
277:
272:
267:
262:
254:
253:
249:
248:
247:
246:
241:
236:
234:Approximations
231:
229:Less than 22/7
223:
222:
218:
217:
216:
215:
210:
202:
201:
197:
196:
195:
194:
189:
184:
176:
175:
171:
170:
150:
149:
140:
139:
127:
126:
41:
39:
32:
24:
14:
13:
10:
9:
6:
4:
3:
2:
5879:
5868:
5867:Pi algorithms
5865:
5863:
5860:
5858:
5855:
5853:
5850:
5849:
5847:
5838:
5835:
5833:
5830:
5828:
5827:Stu's Pi page
5825:
5823:
5820:
5817:
5813:
5810:
5806:
5805:
5801:
5787:
5783:
5776:
5773:
5762:
5758:
5751:
5748:
5737:
5733:
5726:
5723:
5712:
5708:
5701:
5698:
5686:
5682:
5676:
5673:
5662:
5658:
5652:
5649:
5638:
5634:
5628:
5625:
5614:
5610:
5604:
5601:
5589:
5585:
5581:
5575:
5572:
5561:on 2021-08-17
5560:
5556:
5552:
5546:
5543:
5530:
5524:
5521:
5509:
5503:
5500:
5488:
5482:
5479:
5466:
5462:
5456:
5453:
5441:
5437:
5431:
5428:
5416:
5412:
5406:
5403:
5391:
5387:
5381:
5378:
5366:
5362:
5356:
5353:
5341:
5337:
5331:
5328:
5316:
5312:
5306:
5303:
5291:
5287:
5281:
5278:
5265:
5261:
5257:
5251:
5248:
5243:
5239:
5232:
5228:
5222:
5219:
5214:
5208:
5194:on 2009-08-23
5193:
5189:
5183:
5180:
5175:
5169:
5155:on 2011-03-12
5154:
5150:
5144:
5141:
5130:
5126:
5120:
5117:
5114:
5109:
5106:
5101:
5097:
5093:
5086:
5083:
5080:
5075:
5072:
5061:on 2005-12-24
5060:
5056:
5050:
5047:
5044:
5039:
5036:
5033:
5028:
5025:
5014:
5010:
5004:
5002:
4998:
4995:
4990:
4987:
4984:
4979:
4976:
4973:
4967:
4964:
4952:
4948:
4942:
4940:
4936:
4931:
4927:
4923:
4921:0-8186-8923-4
4917:
4913:
4909:
4905:
4901:
4894:
4891:
4885:
4880:
4877:(77): 76–99.
4876:
4872:
4871:
4866:
4855:
4852:
4848:
4844:
4838:
4835:
4830:
4826:
4815:
4812:
4807:
4801:
4797:
4790:
4788:
4786:
4784:
4782:
4780:
4778:
4776:
4774:
4772:
4770:
4766:
4761:
4757:
4753:
4749:
4745:
4741:
4724:
4721:
4715:
4710:
4706:
4702:
4698:
4687:
4684:
4678:
4673:
4669:
4665:
4661:
4646:
4643:
4638:
4632:
4628:
4621:
4619:
4617:
4613:
4602:on 2005-01-09
4601:
4597:
4593:
4586:
4583:
4571:
4567:
4563:
4562:
4557:
4550:
4547:
4544:
4538:
4534:
4527:
4519:
4515:
4511:
4496:
4493:
4489:
4486:
4476:
4473:
4468:
4466:0-486-43482-6
4462:
4458:
4457:
4452:
4446:
4443:
4435:
4434:
4429:
4423:
4420:
4412:
4405:
4404:
4399:
4393:
4390:
4385:
4381:
4377:
4372:
4366:
4359:
4356:
4351:
4350:
4345:
4339:
4336:
4330:
4325:
4321:
4317:
4313:
4307:
4303:
4302:
4297:
4293:
4287:
4281:
4278:
4274:
4267:
4263:
4256:
4249:
4246:
4242:
4236:
4233:
4228:
4222:
4218:
4217:
4209:
4206:
4201:
4197:
4193:
4189:
4184:
4179:
4175:
4171:
4167:
4160:
4157:
4152:
4148:
4144:
4137:
4134:
4129:
4123:
4119:
4115:
4114:
4106:
4103:
4097:
4092:
4088:
4084:
4083:
4078:
4071:
4069:
4067:
4065:
4063:
4061:
4057:
4052:
4048:
4042:
4039:
4035:
4034:public domain
4024:
4018:
4015:
4010:
4004:
3996:
3995:
3987:
3984:
3972:
3969:
3963:
3960:
3955:
3951:
3947:
3943:
3939:
3935:
3934:
3926:
3919:
3917:
3915:
3913:
3911:
3909:
3907:
3905:
3903:
3901:
3899:
3897:
3895:
3893:
3891:
3889:
3887:
3885:
3883:
3881:
3879:
3877:
3875:
3871:
3866:
3860:
3857:
3851:
3847:
3844:
3842:
3841:History of pi
3839:
3838:
3834:
3816:
3810:
3805:
3802:
3799:
3795:
3794:
3793:
3790:
3788:28 June 2024
3787:
3786:
3774:
3768:
3763:
3760:
3757:
3753:
3752:
3751:
3748:
3745:
3744:
3732:
3727:
3724:
3721:
3717:
3716:
3715:
3712:
3709:
3708:
3700:
3694:
3689:
3686:
3683:
3680:
3676:
3675:
3674:
3672:
3669:
3666:
3665:
3657:
3649:
3643:
3638:
3635:
3631:
3628:
3625:
3622:
3618:
3617:
3616:
3614:
3610:
3607:
3606:
3594:
3588:
3583:
3580:
3577:
3574:
3571:
3567:
3566:
3565:
3562:
3559:
3558:
3547:
3536:
3530:
3525:
3522:
3519:
3516:
3512:
3511:
3510:
3508:
3505:
3502:
3501:
3490:
3479:
3473:
3468:
3466:20× 6 TB
3465:
3462:
3459:
3456:
3455:
3454:
3451:
3448:
3447:
3435:
3429:
3424:
3421:
3418:
3415:
3412:
3411:
3410:
3407:
3404:
3403:
3390:
3384:
3379:
3376:
3373:
3370:
3367:
3366:
3365:
3362:
3359:
3358:
3349:
3343:
3338:
3335:
3334:
3333:
3330:
3327:
3326:
3314:
3308:
3303:
3300:
3297:
3294:
3291:
3288:
3285:
3282:
3279:
3276:
3275:
3274:
3271:
3268:
3267:
3251:
3245:
3240:
3237:
3234:
3231:
3228:
3225:
3222:
3219:
3216:
3215:
3214:
3212:
3209:
3206:
3205:
3202:
3200:
3196:
3192:
3188:
3182:
3177:
3173:
3172:world records
3153:
3147:
3141:
3135:
3133:
3129:
3125:
3121:
3117:
3113:
3109:
3106:
3103:
3100:
3097:
3096:
3093:
3087:
3085:
3081:
3077:
3073:
3070:
3067:
3064:
3061:
3060:
3057:
3051:
3049:(128 nodes)
3048:
3045:
3043:
3039:
3036:
3033:
3032:
3029:
3023:
3020:
3017:
3015:
3011:
3008:
3006:5 April 1999
3005:
3004:
3001:
2995:
2992:
2989:
2987:
2983:
2980:
2977:
2976:
2973:
2972:6,442,450,000
2968:116.63 hours
2967:
2964:
2961:
2959:
2955:
2952:
2949:
2948:
2945:
2944:4,294,960,000
2940:56.74 hours?
2939:
2936:
2933:
2931:
2927:
2924:
2921:
2920:
2917:
2915:
2908:
2904:
2902:
2901:Simon Plouffe
2899:
2896:
2895:
2889:
2886:
2883:
2881:
2877:
2874:
2872:26 June 1995
2871:
2870:
2867:
2866:4,044,000,000
2862:
2859:
2857:
2854:
2851:
2850:
2847:
2846:2,260,000,000
2842:
2839:
2837:
2834:
2831:
2830:
2827:
2826:1,073,740,799
2822:
2820:
2817:
2815:
2811:
2808:
2805:
2804:
2801:
2800:1,011,196,691
2796:
2794:
2791:
2789:
2786:
2783:
2782:
2779:
2774:
2772:
2769:
2767:
2763:
2760:
2757:
2756:
2753:
2748:
2746:
2743:
2741:
2738:
2735:
2734:
2731:
2726:
2724:
2720:
2717:
2715:
2712:
2709:
2708:
2705:
2699:
2697:
2694:
2692:
2688:
2685:
2683:January 1988
2682:
2681:
2678:
2672:
2670:
2667:
2664:
2660:
2656:
2653:
2651:January 1987
2650:
2649:
2646:
2640:
2638:
2635:
2633:
2629:
2626:
2624:October 1986
2623:
2622:
2619:
2613:
2611:
2608:
2606:
2602:
2599:
2596:
2595:
2592:
2586:
2584:
2581:
2579:
2576:
2574:January 1986
2573:
2572:
2569:
2564:
2562:
2559:
2557:
2554:
2552:October 1985
2551:
2550:
2544:
2542:
2539:
2537:
2533:
2530:
2528:October 1983
2527:
2526:
2523:
2518:<30 hours
2517:
2515:
2512:
2510:
2506:
2503:
2500:
2499:
2496:
2490:
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2479:
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2463:
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2414:
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2395:
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2322:
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2305:
2302:
2299:
2296:
2293:
2292:
2289:
2283:
2280:
2277:
2275:
2271:
2270:Daniel Shanks
2268:
2265:
2264:
2261:
2255:
2252:
2249:
2246:
2245:
2242:
2236:
2233:
2231:
2228:
2225:
2224:
2221:
2215:
2213:
2210:
2207:
2205:January 1958
2204:
2203:
2200:
2194:
2191:
2188:
2185:
2183:
2180:
2177:
2176:
2173:
2167:
2165:
2161:
2158:
2155:
2154:
2149:
2147:
2139:
2137:
2134:
2131:
2130:
2127:
2121:
2115:
2111:
2108:
2105:
2104:
2101:
2097:
2092:
2088:
2087:world records
2068:
2062:
2056:
2050:
2048:
2044:
2043:Levi B. Smith
2041:
2038:
2037:
2034:
2028:
2026:
2023:
2020:
2019:
2016:
2010:
2008:
2005:
2003:January 1947
2002:
2001:
1998:
1996:
1995:is irrational
1988:
1986:
1983:
1980:
1979:
1976:
1970:
1968:
1965:
1962:
1961:
1958:
1951:
1947:
1935:
1933:
1930:
1927:
1926:
1917:
1909:
1907:
1903:
1900:
1899:
1896:
1893:
1889:
1881:
1879:
1876:
1873:
1872:
1869:
1862:
1860:
1857:
1854:
1853:
1850:
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1839:
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1835:
1830:
1827:
1824:
1823:
1820:
1814:
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1809:
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1805:
1802:
1796:
1793:
1790:
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1779:
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1767:
1752:
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1736:
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1724:
1722:
1714:
1711:
1708:
1707:
1704:
1702:
1694:
1692:
1689:
1686:
1685:
1682:
1679:
1671:
1669:
1666:
1663:
1662:
1656:
1654:
1651:
1648:
1647:
1641:
1639:
1636:
1633:
1632:
1626:
1624:
1621:
1618:
1617:
1614:
1608:
1604:
1600:
1596:
1593:
1590:
1589:
1586:
1580:
1578:
1575:
1572:
1571:
1568:
1565:
1559:
1557:
1556:William Jones
1554:
1551:
1550:
1547:
1542:
1540:
1537:
1534:
1533:
1530:
1524:
1522:
1521:Abraham Sharp
1519:
1516:
1515:
1507:
1505:
1504:Takakazu Seki
1502:
1499:
1498:
1492:
1490:
1487:
1484:
1483:
1477:
1473:
1471:
1468:
1465:
1464:
1461:
1456:
1454:
1451:
1448:
1447:
1444:
1438:
1435:
1432:
1429:
1428:
1425:
1419:
1418:
1415:
1408:
1402:
1401:
1395:
1393:
1390:
1387:
1386:
1380:
1378:
1375:
1372:
1371:
1356:
1354:
1351:
1348:
1347:
1344:
1339:
1337:
1334:
1331:
1330:
1327:
1322:
1315:expansion of
1314:
1310:
1308:
1305:
1302:
1301:
1297:
1293:
1288:
1284:
1283:world records
1267:
1261:
1254:
1249:
1247:
1244:
1241:
1240:
1236:
1231:
1229:
1226:
1223:
1222:
1218:
1194:
1192:
1189:
1186:
1185:
1181:
1176:
1174:
1171:
1168:
1167:
1163:
1152:
1150:
1147:
1144:
1143:
1139:
1125:
1123:
1120:
1117:
1116:
1113:
1110:
1105:
1088:
1086:
1083:
1080:
1079:
1075:
1061:
1059:
1056:
1053:
1052:
1049:
1046:
1031:< 3.142074
1026:
1024:
1021:
1018:
1017:
1013:
999:
997:
994:
991:
990:
987:
984:
970:
968:
965:
962:
961:
957:
942:= 3.162277...
935:
932:
928:
925:
922:
921:
917:
894:
887:
883:
881:
878:
875:
874:
870:
856:
854:
851:
848:
847:
844:
841:
809:
807:
804:
801:
800:
796:
791:
789:
785:
781:
777:
775:
769:
763:
759:
758:Bhishma Parva
754:
752:
749:
746:
745:
741:
738:
736:
733:
731:
728:attempted to
727:
724:
721:
720:
716:
710:
706:
703:
700:
697:
696:
692:
669:
667:
665:
664:Shulba Sutras
662:
659:
658:
654:
640:
639:
634:
631:
628:
625:
624:
620:
614:
612:
609:
606:
605:
601:
595:
593:
590:
587:
586:
582:
567:
565:
562:
559:
558:
554:
538:
536:
533:
530:
529:
525:
520:
519:world records
501:
495:
489:
482:
475:
473:
462:
450:
445:
443:
438:
436:
431:
430:
428:
427:
422:
416:
414:
410:Six nines in
408:
406:
405:Basel problem
403:
401:
398:
397:
396:
395:
390:
385:
382:
380:
377:
376:
375:
374:
369:
364:
363:
359:
357:
354:
353:
352:
351:
346:
341:
338:
336:
333:
331:
328:
326:
323:
321:
318:
316:
313:
311:
310:William Jones
308:
306:
303:
301:
300:Seki Takakazu
298:
296:
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291:
288:
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283:
281:
278:
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214:
213:Transcendence
211:
209:
208:Irrationality
206:
205:
204:
203:
198:
193:
190:
188:
187:Circumference
185:
183:
180:
179:
178:
177:
172:
169:
152:
151:
148:
141:
137:
133:
132:
123:
120:
112:
101:
98:
94:
91:
87:
84:
80:
77:
73:
70: –
69:
65:
64:Find sources:
58:
54:
48:
47:
42:This article
40:
36:
31:
30:
27:
19:
5789:. Retrieved
5785:
5775:
5764:. Retrieved
5760:
5750:
5739:. Retrieved
5735:
5725:
5714:. Retrieved
5710:
5700:
5689:. Retrieved
5684:
5675:
5664:. Retrieved
5660:
5651:
5640:. Retrieved
5636:
5627:
5616:. Retrieved
5612:
5603:
5592:. Retrieved
5583:
5574:
5563:. Retrieved
5559:the original
5554:
5545:
5533:. Retrieved
5523:
5511:. Retrieved
5502:
5490:. Retrieved
5481:
5469:. Retrieved
5464:
5455:
5443:. Retrieved
5439:
5430:
5418:. Retrieved
5414:
5405:
5393:. Retrieved
5389:
5380:
5368:. Retrieved
5364:
5355:
5343:. Retrieved
5339:
5330:
5318:. Retrieved
5314:
5305:
5293:. Retrieved
5289:
5280:
5268:. Retrieved
5264:the original
5259:
5250:
5221:
5196:. Retrieved
5192:the original
5182:
5157:. Retrieved
5153:the original
5143:
5132:. Retrieved
5128:
5119:
5108:
5095:
5085:
5074:
5063:. Retrieved
5059:the original
5049:
5038:
5027:
5016:. Retrieved
5012:
4989:
4978:
4966:
4955:. Retrieved
4951:Science News
4950:
4903:
4893:
4874:
4868:
4854:
4842:
4837:
4828:
4824:
4814:
4798:. Springer.
4795:
4743:
4739:
4723:
4704:
4700:
4686:
4667:
4663:
4645:
4626:
4604:. Retrieved
4600:the original
4595:
4585:
4573:. Retrieved
4559:
4549:
4537:the original
4532:
4522:
4517:
4513:
4495:
4487:
4484:
4475:
4455:
4445:
4432:
4422:
4411:the original
4402:
4392:
4375:
4358:
4348:
4338:
4322:(2): 64–85.
4319:
4315:
4299:
4285:
4280:
4269:
4265:
4261:
4248:
4240:
4235:
4215:
4213:趙良五 (1991).
4208:
4173:
4169:
4159:
4146:
4136:
4112:
4105:
4086:
4080:
4050:
4041:
4022:
4017:
3993:
3986:
3975:. Retrieved
3973:. 2022-03-14
3970:
3962:
3940:(1): 50–57.
3937:
3931:
3859:
3814:
3772:
3698:
3653:
3647:
3592:
3543:
3534:
3486:
3477:
3452:Peter Trueb
3433:
3388:
3347:
3312:
3249:
3184:
3175:
3148:2009–present
3139:
3136:29.09 hours
3091:
3055:
3052:37.35 hours
3027:
2999:
2996:29.05 hours
2993:(1024 CPU)
2978:6 July 1997
2971:
2965:(dual CPU)
2943:
2937:(dual CPU)
2887:(dual CPU)
2865:
2852:18 May 1994
2845:
2832:August 1991
2825:
2799:
2784:August 1989
2777:
2751:
2729:
2703:
2676:
2673:35.25 hours
2644:
2617:
2590:
2567:
2521:
2514:HITAC M-280H
2494:
2487:HITAC M-280H
2467:
2460:HITAC M-280H
2440:
2433:MELCOM 900II
2417:
2399:
2396:137.3 hours
2372:
2351:
2329:
2326:41.92 hours
2297:J.M. Gerard
2287:
2259:
2240:
2219:
2198:
2171:
2140:Showed that
2125:
2099:
2090:
2054:
2032:
2014:
1989:Gave a very
1974:
1882:Proved that
1867:
1848:
1833:
1818:
1800:
1753:Showed that
1695:Proved that
1677:
1612:
1584:
1545:
1528:
1489:Isaac Newton
1459:
1442:
1423:
1413:
1342:
1325:
1313:power series
1295:
1286:
1173:Al Khwarizmi
1111:
1058:He Chengtian
1047:
985:
842:
787:
783:
779:
771:
767:
755:
690:3.088311 ...
666:
637:
636:
632:– 7.1.1.18
523:
476:
458:
360:
355:
305:Takebe Kenko
244:Memorization
153:
115:
109:October 2014
106:
96:
89:
82:
75:
63:
51:Please help
46:verification
43:
26:
5584:www.fhgr.ch
5555:www.fhgr.ch
5471:15 November
5420:15 November
4947:"Computers"
4707:: 162–164.
4575:13 February
4352:(in Latin).
4219:. 臺灣商務印書館.
3024:32.9 hours
2778:536,870,898
2752:535,339,270
2730:480,000,000
2723:IBM 3090/VF
2704:201,326,551
2700:5.95 hours
2677:134,214,700
2665:and others
2556:Bill Gosper
2547:10,013,395
2491:6.86 hours
2437:7.23 hours
2392:FACOM M-200
2369:23.3 hours
2306:39 minutes
2281:(New York)
2274:John Wrench
2168:13 minutes
2136:Kurt Mahler
2047:John Wrench
1952:to compute
1843:Rutherford
1757:(and hence
1539:John Machin
1436:(Snellius)
1246:Zhao Youqin
1191:Bhāskara II
1161:3.162277...
1149:Brahmagupta
1085:Zu Chongzhi
1073:3.142885...
1011:3.155555...
982:3.141666...
762:Mahabharata
596:3 + 23/216
496:Before 1400
330:John Wrench
315:John Machin
270:Zu Chongzhi
5846:Categories
5791:2024-06-30
5766:2024-07-02
5741:2024-03-16
5716:2024-03-14
5691:2023-12-25
5666:2023-12-02
5642:2022-06-10
5618:2022-06-10
5594:2021-08-17
5565:2021-08-17
5535:30 January
5513:30 January
5256:"PI-world"
5198:2009-08-18
5159:2010-07-08
5134:2022-08-04
5065:2022-08-04
5018:2022-08-04
4957:2022-08-04
4606:2009-02-01
3977:2022-06-08
3852:References
3798:y-cruncher
3756:y-cruncher
3720:y-cruncher
3679:y-cruncher
3621:y-cruncher
3570:y-cruncher
3515:y-cruncher
3088:600 hours
2758:July 1989
2736:June 1989
2645:67,108,839
2618:33,554,414
2614:6.6 hours
2591:29,360,111
2568:17,526,200
2522:16,777,206
2464:2.9 hours
2412:Not known
2284:8.7 hours
2256:4.3 hours
2216:1.7 hours
2162:Using the
1985:Ivan Niven
1733:Jurij Vega
1701:irrational
1594:Anonymous
927:Zhang Heng
806:Archimedes
726:Anaxagoras
626:800–600 BC
371:In culture
356:Chronology
260:Archimedes
200:Properties
79:newspapers
5370:28 August
5345:28 August
5320:28 August
5295:28 August
5270:28 August
5260:calico.jp
4930:122820709
4670:: 11–15.
4268:(1): 86.
4200:146074061
4192:2550-0651
4176:(1): 18.
4003:cite book
3811:104 days
3695:158 days
3644:108 days
3589:303 days
3531:121 days
3474:105 days
3430:208 days
3344:371 days
3246:131 days
3116:terabytes
3112:gigaflops
2710:May 1989
2641:23 hours
2587:28 hours
2495:8,388,576
2468:4,194,288
2441:2,097,144
2418:2,000,050
2400:2,000,036
2373:1,001,250
2348:28 hours
2303:(London)
2237:33 hours
2226:May 1958
2195:33 hours
2144:is not a
2122:70 hours
2063:1949–2009
1719:might be
1262:1400–1949
1228:Fibonacci
1122:Aryabhata
1108:3.1415926
955:3.1622...
915:3.1547...
853:Vitruvius
802:c. 250 BC
588:2000? BC
552:3.1605...
275:Aryabhata
5812:Archived
5588:Archived
5492:14 March
5445:16 March
5395:16 March
5242:12242318
5207:cite web
5168:cite web
5100:Archived
4831:: 17–22.
4825:Chiffres
4760:27956272
4520:: 41–44.
4430:(1913).
4400:(1630).
4374:(1593).
4371:Adrianus
4346:(1579).
4286:Al-Kashi
4216:中西數學史的比較
4151:Archived
3954:14318695
3835:See also
3769:75 days
3733:59 days
3634:swapping
3385:94 days
3309:90 days
3261:−
2905:Finds a
2793:IBM 3090
2745:IBM 3090
2669:NEC SX-2
2365:CDC 7600
2345:(Paris)
2343:CDC 6600
2323:(Paris)
2321:IBM 7030
2301:IBM 7090
2279:IBM 7090
2187:Ferranti
1948:and the
1828:Lehmann
1252:3.141592
1234:3.141818
996:Wang Fan
886:jialiang
607:1200? BC
560:2000? BC
531:2000? BC
166:26433...
134:Part of
5465:pi2e.ch
5415:pi2e.ch
4365:Romanus
4089:: 100.
3722:v0.7.10
3128:Tsukuba
3104:et al.
2907:formula
2352:500,000
2330:250,000
2309:20,000
2288:100,265
2212:IBM 704
1906:Indiana
1361:⁄
1209:⁄
1199:⁄
1154:√
1130:⁄
1100:⁄
1066:⁄
1037:⁄
1023:Liu Hui
1004:⁄
975:⁄
967:Ptolemy
948:⁄
937:√
909:+0.095)
904:√
900:⁄
880:Liu Xin
861:⁄
828:⁄
814:⁄
774:yojanas
760:of the
698:550? BC
679:√
675:⁄
660:800? BC
652:= 3.125
647:⁄
599:3.1065
573:⁄
544:⁄
348:History
280:Madhava
265:Liu Hui
155:3.14159
93:scholar
5411:"pi2e"
5240:
4928:
4918:
4802:
4758:
4633:
4463:
4223:
4198:
4190:
4124:
3952:
3800:v0.8.3
3796:using
3758:v0.8.3
3754:using
3718:using
3681:v0.7.8
3677:using
3623:v0.7.8
3619:using
3572:v0.7.7
3568:using
3517:v0.7.6
3513:using
3197:, the
2721:&
2719:CRAY-2
2583:CRAY-2
2260:16,167
2241:10,021
2220:10,000
1712:Euler
1216:3.1416
1179:3.1416
1137:3.1416
1064:111035
1044:3.1416
923:AD 130
888:which
764:offer:
722:434 BC
709:cubits
512:Value
384:Pi Day
252:People
138:on the
95:
88:
81:
74:
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