மெர்சென் பகா எண்கள்-செவ்விய எண்கள் பட்டியல் (Tamil Wikipedia)

Analysis of information sources in references of the Wikipedia article "மெர்சென் பகா எண்கள்-செவ்விய எண்கள் பட்டியல்" in Tamil language version.

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33web.archive.org

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19doi.org

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18mersenne.org

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9worldcat.org

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7ams.org

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6utm.edu

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4books.google.com

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4archive.org

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3harvard.edu

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2springer.com

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2latimes.com

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2wikipedia.org

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2nih.gov

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2gale.com

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1clarku.edu

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1pacific.edu

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1biodiversitylibrary.org

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1ucla.edu

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1phys.org

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ams.org

Samuel S. Wagstaff Jr. (January 1983). "Divisors of Mersenne numbers" (in en). Mathematics of Computation 40 (161): 385–397. doi:10.1090/S0025-5718-1983-0679454-X. பன்னாட்டுத் தர தொடர் எண்:0025-5718. http://www.ams.org/jourcgi/jour-getitem?pii=S0025-5718-1983-0679454-X.
Ochem, Pascal; Rao, Michaël (30 January 2012). "Odd perfect numbers are greater than 10¹⁵⁰⁰" (in en). Mathematics of Computation 81 (279): 1869–1877. doi:10.1090/S0025-5718-2012-02563-4. பன்னாட்டுத் தர தொடர் எண்:0025-5718. http://www.ams.org/jourcgi/jour-getitem?pii=S0025-5718-2012-02563-4.
"Notes" (in en). Mathematics of Computation 6 (37): 58–61. January 1952. doi:10.1090/S0025-5718-52-99405-2. பன்னாட்டுத் தர தொடர் எண்:0025-5718. https://www.ams.org/mcom/1952-06-037/S0025-5718-52-99405-2/. பார்த்த நாள்: 13 October 2021.
"Notes" (in en). Mathematics of Computation 6 (39): 204–205. July 1952. doi:10.1090/S0025-5718-52-99389-7. பன்னாட்டுத் தர தொடர் எண்:0025-5718. http://www.ams.org/jourcgi/jour-getitem?pii=S0025-5718-52-99389-7.
"Notes" (in en). Mathematics of Computation 7 (41): 67–72. January 1953. doi:10.1090/S0025-5718-53-99372-7. பன்னாட்டுத் தர தொடர் எண்:0025-5718. https://www.ams.org/mcom/1953-07-041/S0025-5718-53-99372-7/.
Hans Riesel (January 1958). "A New Mersenne Prime". Mathematics of Computation 12 (61): 60. doi:10.1090/S0025-5718-58-99282-2. https://www.ams.org/journals/mcom/1958-12-061/S0025-5718-58-99282-2/.
Hurwitz, Alexander (April 1962). "New Mersenne primes" (in en). Mathematics of Computation 16 (78): 249–251. doi:10.1090/S0025-5718-1962-0146162-X. பன்னாட்டுத் தர தொடர் எண்:0025-5718. http://www.ams.org/jourcgi/jour-getitem?pii=S0025-5718-1962-0146162-X.

archive.org

Smith, David Eugene (1925). History of Mathematics: Volume II. Dover. p. 21. ISBN 978-0-486-20430-7.
Donald B. Gillies (January 1964). "Three new Mersenne primes and a statistical theory". Mathematics of Computation 18 (85): 93–97. doi:10.1090/S0025-5718-1964-0159774-6. https://archive.org/details/sim_mathematics-of-computation_1964-01_18_85/page/93.
Landon Curt Noll; Nickel, Laura (October 1980). "The 25th and 26th Mersenne primes". Mathematics of Computation 35 (152): 1387. doi:10.1090/S0025-5718-1980-0583517-4. https://archive.org/details/sim_mathematics-of-computation_1980-10_35_152/page/1387.
Colquitt, W. N.; Welsh, L. (April 1991). "A new Mersenne prime". Mathematics of Computation 56 (194): 867. doi:10.1090/S0025-5718-1991-1068823-9. Bibcode: 1991MaCom..56..867C. https://archive.org/details/sim_mathematics-of-computation_1991-04_56_194/page/867.

bbc.com

"Largest known prime number discovered in Missouri" (in en-GB). BBC News. 20 January 2016 இம் மூலத்தில் இருந்து 21 August 2021 அன்று. பரணிடப்பட்டது.. https://web.archive.org/web/20210821050422/https://www.bbc.com/news/technology-35361090.

biodiversitylibrary.org

"Sur un nouveau nombre premier, annoncé par le père Pervouchine" (in fr). Bulletin de l'Académie impériale des sciences de St.-Pétersbourg 31: 532–533. 27 January 1887. https://www.biodiversitylibrary.org/page/34669913. பார்த்த நாள்: 13 October 2021.

bnf.fr

visualiseur.bnf.fr

Édouard Lucas (1876). "Note sur l'application des séries récurrentes à la recherche de la loi de distribution des nombres premiers" (in fr). Comptes rendus de l'Académie des Sciences 82: 165–167. http://visualiseur.bnf.fr/CadresFenetre?O=NUMM-3039&I=166&M=tdm. பார்த்த நாள்: 13 October 2021.

books.google.com

Stillwell, John (2010). Mathematics and Its History. Undergraduate Texts in Mathematics. இசுபிரிங்கர் பதிப்பகம். p. 40. ISBN 978-1-4419-6052-8. Archived from the original on 13 October 2021. Retrieved 13 October 2021.
Crilly, Tony (2007). "Perfect numbers". 50 mathematical ideas you really need to know. Quercus Publishing. ISBN 978-1-84724-008-8. Archived from the original on 13 October 2021. Retrieved 13 October 2021.
Dickson, Leonard Eugene (1919). History of the Theory of Numbers, Vol. I. Carnegie Institution of Washington. pp. 4–6.
Cataldi, Pietro Antonio (1603). Trattato de' numeri perfetti di Pietro Antonio Cataldo [Pietro Antonio Cataldi's treatise on perfect numbers] (in இத்தாலியன்). Presso di Heredi di Giouanni Rossi.

clarku.edu

mathcs.clarku.edu

Joyce, David E. "Euclid's Elements, Book IX, Proposition 36". mathcs.clarku.edu. Archived from the original on 17 June 2021. Retrieved 13 October 2021.

doi.org

dx.doi.org

Prielipp, Robert W. (1970). "Perfect Numbers, Abundant Numbers, and Deficient Numbers". The Mathematics Teacher 63 (8): 692–96. doi:10.5951/MT.63.8.0692. http://www.jstor.org/stable/27958492. பார்த்த நாள்: 13 October 2021.
Samuel S. Wagstaff Jr. (January 1983). "Divisors of Mersenne numbers" (in en). Mathematics of Computation 40 (161): 385–397. doi:10.1090/S0025-5718-1983-0679454-X. பன்னாட்டுத் தர தொடர் எண்:0025-5718. http://www.ams.org/jourcgi/jour-getitem?pii=S0025-5718-1983-0679454-X.
Carl Pomerance (September 1981). "Recent developments in primality testing" (in en). The Mathematical Intelligencer 3 (3): 97–105. doi:10.1007/BF03022861. பன்னாட்டுத் தர தொடர் எண்:0343-6993. https://link.springer.com/content/pdf/10.1007/BF03022861.pdf.
Ochem, Pascal; Rao, Michaël (30 January 2012). "Odd perfect numbers are greater than 10¹⁵⁰⁰" (in en). Mathematics of Computation 81 (279): 1869–1877. doi:10.1090/S0025-5718-2012-02563-4. பன்னாட்டுத் தர தொடர் எண்:0025-5718. http://www.ams.org/jourcgi/jour-getitem?pii=S0025-5718-2012-02563-4.
Ralph Ernest Powers (November 1911). "The Tenth Perfect Number". The American Mathematical Monthly 18 (11): 195–197. doi:10.2307/2972574.
"Records of Proceedings at Meetings". Proceedings of the London Mathematical Society s2-13 (1): iv-xl. 1914. doi:10.1112/plms/s2-13.1.1-s.
"Notes" (in en). Mathematics of Computation 6 (37): 58–61. January 1952. doi:10.1090/S0025-5718-52-99405-2. பன்னாட்டுத் தர தொடர் எண்:0025-5718. https://www.ams.org/mcom/1952-06-037/S0025-5718-52-99405-2/. பார்த்த நாள்: 13 October 2021.
"Notes" (in en). Mathematics of Computation 6 (39): 204–205. July 1952. doi:10.1090/S0025-5718-52-99389-7. பன்னாட்டுத் தர தொடர் எண்:0025-5718. http://www.ams.org/jourcgi/jour-getitem?pii=S0025-5718-52-99389-7.
"Notes" (in en). Mathematics of Computation 7 (41): 67–72. January 1953. doi:10.1090/S0025-5718-53-99372-7. பன்னாட்டுத் தர தொடர் எண்:0025-5718. https://www.ams.org/mcom/1953-07-041/S0025-5718-53-99372-7/.
Hans Riesel (January 1958). "A New Mersenne Prime". Mathematics of Computation 12 (61): 60. doi:10.1090/S0025-5718-58-99282-2. https://www.ams.org/journals/mcom/1958-12-061/S0025-5718-58-99282-2/.
Hurwitz, Alexander (April 1962). "New Mersenne primes" (in en). Mathematics of Computation 16 (78): 249–251. doi:10.1090/S0025-5718-1962-0146162-X. பன்னாட்டுத் தர தொடர் எண்:0025-5718. http://www.ams.org/jourcgi/jour-getitem?pii=S0025-5718-1962-0146162-X.
Donald B. Gillies (January 1964). "Three new Mersenne primes and a statistical theory". Mathematics of Computation 18 (85): 93–97. doi:10.1090/S0025-5718-1964-0159774-6. https://archive.org/details/sim_mathematics-of-computation_1964-01_18_85/page/93.
Bryant Tuckerman (October 1971). "The 24th Mersenne Prime". Proceedings of the National Academy of Sciences 68 (10): 2319–2320. doi:10.1073/pnas.68.10.2319. பப்மெட்:16591945. Bibcode: 1971PNAS...68.2319T.
Landon Curt Noll; Nickel, Laura (October 1980). "The 25th and 26th Mersenne primes". Mathematics of Computation 35 (152): 1387. doi:10.1090/S0025-5718-1980-0583517-4. https://archive.org/details/sim_mathematics-of-computation_1980-10_35_152/page/1387.
"Announcements" (in en). The Mathematical Intelligencer 5 (1): 60. March 1983. doi:10.1007/BF03023507. பன்னாட்டுத் தர தொடர் எண்:0343-6993. http://link.springer.com/10.1007/BF03023507.
Peterson, I. (6 February 1988). "Priming for a Lucky Strike". Science News 133 (6): 85. doi:10.2307/3972461.
Colquitt, W. N.; Welsh, L. (April 1991). "A new Mersenne prime". Mathematics of Computation 56 (194): 867. doi:10.1090/S0025-5718-1991-1068823-9. Bibcode: 1991MaCom..56..867C. https://archive.org/details/sim_mathematics-of-computation_1991-04_56_194/page/867.
Peterson, I. (28 September 1985). "Prime Time for Supercomputers". Science News 128 (13): 199. doi:10.2307/3970245.
Maddox, John (26 March 1992). "The endless search for primality" (in en). Nature 356 (6367): 283. doi:10.1038/356283a0. பன்னாட்டுத் தர தொடர் எண்:1476-4687. Bibcode: 1992Natur.356..283M.

gale.com

go.gale.com

"Largest Known Prime Number Discovered on Cray Research Supercomputer". PR Newswire. 10 January 1994. https://go.gale.com/ps/i.do?p=ITOF&u=wikipedia&id=GALE%7CA14684654&v=2.1&it=r&sid=bookmark-ITOF&asid=b1d68ed5.

link.gale.com

Gillmor, Dan (3 September 1996). "Crunching numbers: Researchers come up with prime math discovery". Knight Ridder. https://link.gale.com/apps/doc/A18635446/ITOF?u=wikipedia&sid=bookmark-ITOF&xid=68c06627.

harvard.edu

adsabs.harvard.edu

Bryant Tuckerman (October 1971). "The 24th Mersenne Prime". Proceedings of the National Academy of Sciences 68 (10): 2319–2320. doi:10.1073/pnas.68.10.2319. பப்மெட்:16591945. Bibcode: 1971PNAS...68.2319T.
Colquitt, W. N.; Welsh, L. (April 1991). "A new Mersenne prime". Mathematics of Computation 56 (194): 867. doi:10.1090/S0025-5718-1991-1068823-9. Bibcode: 1991MaCom..56..867C. https://archive.org/details/sim_mathematics-of-computation_1991-04_56_194/page/867.
Maddox, John (26 March 1992). "The endless search for primality" (in en). Nature 356 (6367): 283. doi:10.1038/356283a0. பன்னாட்டுத் தர தொடர் எண்:1476-4687. Bibcode: 1992Natur.356..283M.

jstor.org

Prielipp, Robert W. (1970). "Perfect Numbers, Abundant Numbers, and Deficient Numbers". The Mathematics Teacher 63 (8): 692–96. doi:10.5951/MT.63.8.0692. http://www.jstor.org/stable/27958492. பார்த்த நாள்: 13 October 2021.

latimes.com

Dembart, Lee (17 September 1985). "Supercomputer Comes Up With Whopping Prime Number" (in en-US). Los Angeles Times. https://www.latimes.com/archives/la-xpm-1985-09-17-mn-20124-story.html.
Maugh, Thomas H. (27 September 2008). "Rare prime number found". Los Angeles Times இம் மூலத்தில் இருந்து 27 July 2021 அன்று. பரணிடப்பட்டது.. https://web.archive.org/web/20210727064651/https://www.latimes.com/archives/la-xpm-2008-sep-27-sci-prime27-story.html.

mersenne.org

"GIMPS Milestones Report". Great Internet Mersenne Prime Search. Archived from the original on 13 October 2021. Retrieved 31 January 2024.
Sources applying to almost all entries:
- "List of Known Mersenne Prime Numbers". Great Internet Mersenne Prime Search. Archived from the original on 7 June 2020. Retrieved 4 October 2021.
- "GIMPS Discovers 35th Mersenne Prime, 2^1,398,269-1 is now the Largest Known Prime.". Great Internet Mersenne Prime Search. 12 November 1996 இம் மூலத்தில் இருந்து 7 June 2020 அன்று. பரணிடப்பட்டது.. https://web.archive.org/web/20200607112616/https://www.mersenne.org/primes/?press=M1398269%2F.
- "GIMPS Discovers 36th Mersenne Prime, 2^2,976,221-1 is now the Largest Known Prime.". Great Internet Mersenne Prime Search. 1 September 1997 இம் மூலத்தில் இருந்து 7 June 2020 அன்று. பரணிடப்பட்டது.. https://web.archive.org/web/20200607112618/https://www.mersenne.org/primes/?press=M2976221%2F.
- "GIMPS Discovers 37th Mersenne Prime, 2^3,021,377-1 is now the Largest Known Prime.". Great Internet Mersenne Prime Search. 2 February 1998 இம் மூலத்தில் இருந்து 7 June 2020 அன்று. பரணிடப்பட்டது.. https://web.archive.org/web/20200607112619/https://www.mersenne.org/primes/?press=M3021377%2F.
- "GIMPS Discovers 38th Mersenne Prime 2^6,972,593-1 is now the Largest Known Prime.". Great Internet Mersenne Prime Search. 30 June 1999 இம் மூலத்தில் இருந்து 7 June 2020 அன்று. பரணிடப்பட்டது.. https://web.archive.org/web/20200607112621/https://www.mersenne.org/primes/?press=M6972593%2F.
- "GIMPS Discovers 39th Mersenne Prime, 2^13,466,917-1 is now the Largest Known Prime.". Great Internet Mersenne Prime Search. 6 December 2001 இம் மூலத்தில் இருந்து 7 June 2020 அன்று. பரணிடப்பட்டது.. https://web.archive.org/web/20200607112627/https://www.mersenne.org/primes/?press=M13466917%2F.
- "GIMPS Discovers 40th Mersenne Prime, 2^20,996,011-1 is now the Largest Known Prime.". Great Internet Mersenne Prime Search. 2 February 2003 இம் மூலத்தில் இருந்து 7 June 2020 அன்று. பரணிடப்பட்டது.. https://web.archive.org/web/20200607112628/https://www.mersenne.org/primes/?press=M20996011%2F.
- "GIMPS Discovers 41st Mersenne Prime, 2^24,036,583-1 is now the Largest Known Prime.". Great Internet Mersenne Prime Search. 28 May 2004 இம் மூலத்தில் இருந்து 29 January 2021 அன்று. பரணிடப்பட்டது.. https://web.archive.org/web/20210129065814/https://www.mersenne.org/primes/?press=M24036583.
- "GIMPS Discovers 42nd Mersenne Prime, 2^25,964,951-1 is now the Largest Known Prime.". Great Internet Mersenne Prime Search. 27 February 2005 இம் மூலத்தில் இருந்து 14 March 2021 அன்று. பரணிடப்பட்டது.. https://web.archive.org/web/20210314035106/https://www.mersenne.org/primes/?press=M25964951.
- "GIMPS Discovers 43rd Mersenne Prime, 2^30,402,457-1 is now the Largest Known Prime.". Great Internet Mersenne Prime Search. 24 December 2005 இம் மூலத்தில் இருந்து 14 March 2021 அன்று. பரணிடப்பட்டது.. https://web.archive.org/web/20210314165053/https://www.mersenne.org/primes/?press=M30402457.
- "GIMPS Discovers 44th Mersenne Prime, 2^32,582,657-1 is now the Largest Known Prime.". Great Internet Mersenne Prime Search. 11 September 2006 இம் மூலத்தில் இருந்து 26 January 2021 அன்று. பரணிடப்பட்டது.. https://web.archive.org/web/20210126022359/https://www.mersenne.org/primes/?press=M32582657.
- "GIMPS Discovers 45th and 46th Mersenne Primes, 2^43,112,609-1 is now the Largest Known Prime.". Great Internet Mersenne Prime Search. 15 September 2008 இம் மூலத்தில் இருந்து 5 October 2021 அன்று. பரணிடப்பட்டது.. https://web.archive.org/web/20211005213055/https://www.mersenne.org/primes/?press=M43112609.
- "GIMPS Discovers 47th Mersenne Prime". Great Internet Mersenne Prime Search. 12 April 2009 இம் மூலத்தில் இருந்து 19 February 2021 அன்று. பரணிடப்பட்டது.. https://web.archive.org/web/20210219094118/https://www.mersenne.org/primes/?press=M42643801.
- "GIMPS Discovers 48th Mersenne Prime, 2^57,885,161-1 is now the Largest Known Prime.". Great Internet Mersenne Prime Search. 5 February 2013 இம் மூலத்தில் இருந்து 26 January 2021 அன்று. பரணிடப்பட்டது.. https://web.archive.org/web/20210126100905/https://www.mersenne.org/primes/?press=M57885161.
- "GIMPS Project Discovers Largest Known Prime Number: 2^74,207,281-1". Great Internet Mersenne Prime Search. 19 January 2016 இம் மூலத்தில் இருந்து 7 January 2018 அன்று. பரணிடப்பட்டது.. https://web.archive.org/web/20180107133230/https://www.mersenne.org/primes/?press=M74207281.
- "GIMPS Project Discovers Largest Known Prime Number: 2^77,232,917-1". Great Internet Mersenne Prime Search. 3 January 2018 இம் மூலத்தில் இருந்து 4 January 2018 அன்று. பரணிடப்பட்டது.. https://web.archive.org/web/20180104073001/https://www.mersenne.org/primes/?press=M77232917.
- "GIMPS Discovers Largest Known Prime Number: 2^82,589,933-1". Great Internet Mersenne Prime Search. 21 December 2018 இம் மூலத்தில் இருந்து 22 December 2018 அன்று. பரணிடப்பட்டது.. https://web.archive.org/web/20181222180200/https://www.mersenne.org/primes/?press=M82589933.

nih.gov

pubmedcentral.nih.gov

Bryant Tuckerman (October 1971). "The 24th Mersenne Prime". Proceedings of the National Academy of Sciences 68 (10): 2319–2320. doi:10.1073/pnas.68.10.2319. பப்மெட்:16591945. Bibcode: 1971PNAS...68.2319T.

ncbi.nlm.nih.gov

Bryant Tuckerman (October 1971). "The 24th Mersenne Prime". Proceedings of the National Academy of Sciences 68 (10): 2319–2320. doi:10.1073/pnas.68.10.2319. பப்மெட்:16591945. Bibcode: 1971PNAS...68.2319T.

npr.org

Palca, Joe (21 December 2018). "The World Has A New Largest-Known Prime Number" (in en). NPR இம் மூலத்தில் இருந்து 30 July 2021 அன்று. பரணிடப்பட்டது.. https://web.archive.org/web/20210730014914/https://www.npr.org/2018/12/21/679207604/the-world-has-a-new-largest-known-prime-number.

nytimes.com

"Science Watch: A New Prime Number". த நியூயார்க் டைம்ஸ். 5 June 1979. https://www.nytimes.com/1979/06/05/archives/science-watch-atmosphere-endangered-a-new-prime-number-great-salt.html.

pacific.edu

scholarlycommons.pacific.edu

Leonhard Euler (1772). "Extrait d'un lettre de M. Euler le pere à M. Bernoulli concernant le Mémoire imprimé parmi ceux de 1771, p 318" (in fr). Nouveaux Mémoires de l'académie royale des sciences de Berlin 1772: 35–36. https://scholarlycommons.pacific.edu/cgi/viewcontent.cgi?article=1460&context=euler-works. பார்த்த நாள்: 13 October 2021.

phys.org

Yirka, Bob (6 February 2013). "University professor discovers largest prime number to date". phys.org (in ஆங்கிலம்). Archived from the original on 16 January 2021. Retrieved 13 October 2021.

proquest.com

"Number is largest prime found yet.". The Globe and Mail. 24 September 1983. ProQuest 386439660. https://www.proquest.com/docview/386439660.

search.proquest.com

"Number is largest prime found yet.". The Globe and Mail. 24 September 1983. ProQuest 386439660. https://www.proquest.com/docview/386439660.

slate.com

Lamb, Evelyn (4 January 2018). "Why You Should Care About a Prime Number That's 23,249,425 Digits Long". Slate Magazine (in ஆங்கிலம்). Archived from the original on 9 October 2021. Retrieved 13 October 2021.

springer.com

link.springer.com

Carl Pomerance (September 1981). "Recent developments in primality testing" (in en). The Mathematical Intelligencer 3 (3): 97–105. doi:10.1007/BF03022861. பன்னாட்டுத் தர தொடர் எண்:0343-6993. https://link.springer.com/content/pdf/10.1007/BF03022861.pdf.
"Announcements" (in en). The Mathematical Intelligencer 5 (1): 60. March 1983. doi:10.1007/BF03023507. பன்னாட்டுத் தர தொடர் எண்:0343-6993. http://link.springer.com/10.1007/BF03023507.

st-andrews.ac.uk

mathshistory.st-andrews.ac.uk

O'Connor, John J.; Robertson, Edmund F. "Perfect numbers". MacTutor History of Mathematics archive. Archived from the original on 5 October 2021. Retrieved 13 October 2021.

ucla.edu

math.ucla.edu

Smith, Edson. "The UCLA Mersenne Prime". UCLA Mathematics. Archived from the original on 22 November 2021. Retrieved 22 November 2021.

utm.edu

primes.utm.edu

Caldwell, Chris K. "Mersenne Primes: History, Theorems and Lists". PrimePages. Archived from the original on 4 October 2021. Retrieved 4 October 2021.
Caldwell, Chris K. "If 2ⁿ-1 is prime, then so is n". PrimePages. Archived from the original on 5 October 2021. Retrieved 12 October 2021.
Caldwell, Chris K. "Characterizing all even perfect numbers". PrimePages. Archived from the original on 8 October 2014. Retrieved 12 October 2021.
Caldwell, Chris K. "Heuristics Model for the Distribution of Mersennes". PrimePages. Archived from the original on 5 October 2021. Retrieved 13 October 2021.
Caldwell, Chris K. "Modular restrictions on Mersenne divisors". PrimePages. Retrieved 22 November 2021.
Caldwell, Chris K. "A Prime of Record Size! 2^1257787-1". PrimePages. Archived from the original on 5 October 2021. Retrieved 13 October 2021.

web.archive.org

Stillwell, John (2010). Mathematics and Its History. Undergraduate Texts in Mathematics. இசுபிரிங்கர் பதிப்பகம். p. 40. ISBN 978-1-4419-6052-8. Archived from the original on 13 October 2021. Retrieved 13 October 2021.
Caldwell, Chris K. "Mersenne Primes: History, Theorems and Lists". PrimePages. Archived from the original on 4 October 2021. Retrieved 4 October 2021.
Caldwell, Chris K. "If 2ⁿ-1 is prime, then so is n". PrimePages. Archived from the original on 5 October 2021. Retrieved 12 October 2021.
Caldwell, Chris K. "Characterizing all even perfect numbers". PrimePages. Archived from the original on 8 October 2014. Retrieved 12 October 2021.
Crilly, Tony (2007). "Perfect numbers". 50 mathematical ideas you really need to know. Quercus Publishing. ISBN 978-1-84724-008-8. Archived from the original on 13 October 2021. Retrieved 13 October 2021.
Caldwell, Chris K. "Heuristics Model for the Distribution of Mersennes". PrimePages. Archived from the original on 5 October 2021. Retrieved 13 October 2021.
"GIMPS Milestones Report". Great Internet Mersenne Prime Search. Archived from the original on 13 October 2021. Retrieved 31 January 2024.
Sources applying to almost all entries:
- "List of Known Mersenne Prime Numbers". Great Internet Mersenne Prime Search. Archived from the original on 7 June 2020. Retrieved 4 October 2021.
- Joyce, David E. "Euclid's Elements, Book IX, Proposition 36". mathcs.clarku.edu. Archived from the original on 17 June 2021. Retrieved 13 October 2021.
- O'Connor, John J.; Robertson, Edmund F. "Perfect numbers". MacTutor History of Mathematics archive. Archived from the original on 5 October 2021. Retrieved 13 October 2021.
- Caldwell, Chris K. "A Prime of Record Size! 2^1257787-1". PrimePages. Archived from the original on 5 October 2021. Retrieved 13 October 2021.
- "GIMPS Discovers 35th Mersenne Prime, 2^1,398,269-1 is now the Largest Known Prime.". Great Internet Mersenne Prime Search. 12 November 1996 இம் மூலத்தில் இருந்து 7 June 2020 அன்று. பரணிடப்பட்டது.. https://web.archive.org/web/20200607112616/https://www.mersenne.org/primes/?press=M1398269%2F.
- "GIMPS Discovers 36th Mersenne Prime, 2^2,976,221-1 is now the Largest Known Prime.". Great Internet Mersenne Prime Search. 1 September 1997 இம் மூலத்தில் இருந்து 7 June 2020 அன்று. பரணிடப்பட்டது.. https://web.archive.org/web/20200607112618/https://www.mersenne.org/primes/?press=M2976221%2F.
- "GIMPS Discovers 37th Mersenne Prime, 2^3,021,377-1 is now the Largest Known Prime.". Great Internet Mersenne Prime Search. 2 February 1998 இம் மூலத்தில் இருந்து 7 June 2020 அன்று. பரணிடப்பட்டது.. https://web.archive.org/web/20200607112619/https://www.mersenne.org/primes/?press=M3021377%2F.
- "GIMPS Discovers 38th Mersenne Prime 2^6,972,593-1 is now the Largest Known Prime.". Great Internet Mersenne Prime Search. 30 June 1999 இம் மூலத்தில் இருந்து 7 June 2020 அன்று. பரணிடப்பட்டது.. https://web.archive.org/web/20200607112621/https://www.mersenne.org/primes/?press=M6972593%2F.
- "GIMPS Discovers 39th Mersenne Prime, 2^13,466,917-1 is now the Largest Known Prime.". Great Internet Mersenne Prime Search. 6 December 2001 இம் மூலத்தில் இருந்து 7 June 2020 அன்று. பரணிடப்பட்டது.. https://web.archive.org/web/20200607112627/https://www.mersenne.org/primes/?press=M13466917%2F.
- "GIMPS Discovers 40th Mersenne Prime, 2^20,996,011-1 is now the Largest Known Prime.". Great Internet Mersenne Prime Search. 2 February 2003 இம் மூலத்தில் இருந்து 7 June 2020 அன்று. பரணிடப்பட்டது.. https://web.archive.org/web/20200607112628/https://www.mersenne.org/primes/?press=M20996011%2F.
- "GIMPS Discovers 41st Mersenne Prime, 2^24,036,583-1 is now the Largest Known Prime.". Great Internet Mersenne Prime Search. 28 May 2004 இம் மூலத்தில் இருந்து 29 January 2021 அன்று. பரணிடப்பட்டது.. https://web.archive.org/web/20210129065814/https://www.mersenne.org/primes/?press=M24036583.
- "GIMPS Discovers 42nd Mersenne Prime, 2^25,964,951-1 is now the Largest Known Prime.". Great Internet Mersenne Prime Search. 27 February 2005 இம் மூலத்தில் இருந்து 14 March 2021 அன்று. பரணிடப்பட்டது.. https://web.archive.org/web/20210314035106/https://www.mersenne.org/primes/?press=M25964951.
- "GIMPS Discovers 43rd Mersenne Prime, 2^30,402,457-1 is now the Largest Known Prime.". Great Internet Mersenne Prime Search. 24 December 2005 இம் மூலத்தில் இருந்து 14 March 2021 அன்று. பரணிடப்பட்டது.. https://web.archive.org/web/20210314165053/https://www.mersenne.org/primes/?press=M30402457.
- "GIMPS Discovers 44th Mersenne Prime, 2^32,582,657-1 is now the Largest Known Prime.". Great Internet Mersenne Prime Search. 11 September 2006 இம் மூலத்தில் இருந்து 26 January 2021 அன்று. பரணிடப்பட்டது.. https://web.archive.org/web/20210126022359/https://www.mersenne.org/primes/?press=M32582657.
- "GIMPS Discovers 45th and 46th Mersenne Primes, 2^43,112,609-1 is now the Largest Known Prime.". Great Internet Mersenne Prime Search. 15 September 2008 இம் மூலத்தில் இருந்து 5 October 2021 அன்று. பரணிடப்பட்டது.. https://web.archive.org/web/20211005213055/https://www.mersenne.org/primes/?press=M43112609.
- "GIMPS Discovers 47th Mersenne Prime". Great Internet Mersenne Prime Search. 12 April 2009 இம் மூலத்தில் இருந்து 19 February 2021 அன்று. பரணிடப்பட்டது.. https://web.archive.org/web/20210219094118/https://www.mersenne.org/primes/?press=M42643801.
- Maugh, Thomas H. (27 September 2008). "Rare prime number found". Los Angeles Times இம் மூலத்தில் இருந்து 27 July 2021 அன்று. பரணிடப்பட்டது.. https://web.archive.org/web/20210727064651/https://www.latimes.com/archives/la-xpm-2008-sep-27-sci-prime27-story.html.
- Smith, Edson. "The UCLA Mersenne Prime". UCLA Mathematics. Archived from the original on 22 November 2021. Retrieved 22 November 2021.
- "GIMPS Discovers 48th Mersenne Prime, 2^57,885,161-1 is now the Largest Known Prime.". Great Internet Mersenne Prime Search. 5 February 2013 இம் மூலத்தில் இருந்து 26 January 2021 அன்று. பரணிடப்பட்டது.. https://web.archive.org/web/20210126100905/https://www.mersenne.org/primes/?press=M57885161.
- Yirka, Bob (6 February 2013). "University professor discovers largest prime number to date". phys.org (in ஆங்கிலம்). Archived from the original on 16 January 2021. Retrieved 13 October 2021.
- "GIMPS Project Discovers Largest Known Prime Number: 2^74,207,281-1". Great Internet Mersenne Prime Search. 19 January 2016 இம் மூலத்தில் இருந்து 7 January 2018 அன்று. பரணிடப்பட்டது.. https://web.archive.org/web/20180107133230/https://www.mersenne.org/primes/?press=M74207281.
- "Largest known prime number discovered in Missouri" (in en-GB). BBC News. 20 January 2016 இம் மூலத்தில் இருந்து 21 August 2021 அன்று. பரணிடப்பட்டது.. https://web.archive.org/web/20210821050422/https://www.bbc.com/news/technology-35361090.
- "GIMPS Project Discovers Largest Known Prime Number: 2^77,232,917-1". Great Internet Mersenne Prime Search. 3 January 2018 இம் மூலத்தில் இருந்து 4 January 2018 அன்று. பரணிடப்பட்டது.. https://web.archive.org/web/20180104073001/https://www.mersenne.org/primes/?press=M77232917.
- Lamb, Evelyn (4 January 2018). "Why You Should Care About a Prime Number That's 23,249,425 Digits Long". Slate Magazine (in ஆங்கிலம்). Archived from the original on 9 October 2021. Retrieved 13 October 2021.
- "GIMPS Discovers Largest Known Prime Number: 2^82,589,933-1". Great Internet Mersenne Prime Search. 21 December 2018 இம் மூலத்தில் இருந்து 22 December 2018 அன்று. பரணிடப்பட்டது.. https://web.archive.org/web/20181222180200/https://www.mersenne.org/primes/?press=M82589933.
- Palca, Joe (21 December 2018). "The World Has A New Largest-Known Prime Number" (in en). NPR இம் மூலத்தில் இருந்து 30 July 2021 அன்று. பரணிடப்பட்டது.. https://web.archive.org/web/20210730014914/https://www.npr.org/2018/12/21/679207604/the-world-has-a-new-largest-known-prime-number.

wikipedia.org

ta.wikipedia.org

As of 27 ஏப்ரல் 2024^[update]^[11]

en.wikipedia.org

"Number is largest prime found yet.". The Globe and Mail. 24 September 1983. ProQuest 386439660. https://www.proquest.com/docview/386439660.

worldcat.org

Samuel S. Wagstaff Jr. (January 1983). "Divisors of Mersenne numbers" (in en). Mathematics of Computation 40 (161): 385–397. doi:10.1090/S0025-5718-1983-0679454-X. பன்னாட்டுத் தர தொடர் எண்:0025-5718. http://www.ams.org/jourcgi/jour-getitem?pii=S0025-5718-1983-0679454-X.
Carl Pomerance (September 1981). "Recent developments in primality testing" (in en). The Mathematical Intelligencer 3 (3): 97–105. doi:10.1007/BF03022861. பன்னாட்டுத் தர தொடர் எண்:0343-6993. https://link.springer.com/content/pdf/10.1007/BF03022861.pdf.
Ochem, Pascal; Rao, Michaël (30 January 2012). "Odd perfect numbers are greater than 10¹⁵⁰⁰" (in en). Mathematics of Computation 81 (279): 1869–1877. doi:10.1090/S0025-5718-2012-02563-4. பன்னாட்டுத் தர தொடர் எண்:0025-5718. http://www.ams.org/jourcgi/jour-getitem?pii=S0025-5718-2012-02563-4.
"Notes" (in en). Mathematics of Computation 6 (37): 58–61. January 1952. doi:10.1090/S0025-5718-52-99405-2. பன்னாட்டுத் தர தொடர் எண்:0025-5718. https://www.ams.org/mcom/1952-06-037/S0025-5718-52-99405-2/. பார்த்த நாள்: 13 October 2021.
"Notes" (in en). Mathematics of Computation 6 (39): 204–205. July 1952. doi:10.1090/S0025-5718-52-99389-7. பன்னாட்டுத் தர தொடர் எண்:0025-5718. http://www.ams.org/jourcgi/jour-getitem?pii=S0025-5718-52-99389-7.
"Notes" (in en). Mathematics of Computation 7 (41): 67–72. January 1953. doi:10.1090/S0025-5718-53-99372-7. பன்னாட்டுத் தர தொடர் எண்:0025-5718. https://www.ams.org/mcom/1953-07-041/S0025-5718-53-99372-7/.
Hurwitz, Alexander (April 1962). "New Mersenne primes" (in en). Mathematics of Computation 16 (78): 249–251. doi:10.1090/S0025-5718-1962-0146162-X. பன்னாட்டுத் தர தொடர் எண்:0025-5718. http://www.ams.org/jourcgi/jour-getitem?pii=S0025-5718-1962-0146162-X.
"Announcements" (in en). The Mathematical Intelligencer 5 (1): 60. March 1983. doi:10.1007/BF03023507. பன்னாட்டுத் தர தொடர் எண்:0343-6993. http://link.springer.com/10.1007/BF03023507.
Maddox, John (26 March 1992). "The endless search for primality" (in en). Nature 356 (6367): 283. doi:10.1038/356283a0. பன்னாட்டுத் தர தொடர் எண்:1476-4687. Bibcode: 1992Natur.356..283M.