梅森素数与完全数集合 (Chinese Wikipedia)

Analysis of information sources in references of the Wikipedia article "梅森素数与完全数集合" in Chinese language version.

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42web.archive.org

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archive.org

Prielipp, Robert W. Perfect Numbers, Abundant Numbers, and Deficient Numbers. The Mathematics Teacher. 1970, 63 (8): 692–696. JSTOR 27958492. doi:10.5951/MT.63.8.0692 –通过JSTOR.
Wagstaff, Samuel S. Divisors of Mersenne numbers. Mathematics of Computation. 1983-01, 40 (161): 385. ISSN 0025-5718. doi:10.1090/S0025-5718-1983-0679454-X.
Smith, David Eugene. History of Mathematics: Volume II. Dover. 1925: 21 [2021-11-01]. ISBN 978-0-486-20430-7.
Notes. Mathematics of Computation. 1952-01, 6 (37): 58–61. ISSN 0025-5718. doi:10.1090/S0025-5718-52-99405-2.
Notes. Mathematics of Computation. 1952-07, 6 (39): 204. ISSN 0025-5718. doi:10.1090/S0025-5718-52-99389-7.
Notes. Mathematics of Computation. 1953-01, 7 (41): 67–72. ISSN 0025-5718. doi:10.1090/S0025-5718-53-99372-7.
Riesel, Hans. A New Mersenne Prime. Mathematics of Computation. 1958-01, 12 (61): 60. doi:10.1090/S0025-5718-58-99282-2 .
Hurwitz, Alexander. New Mersenne primes. Mathematics of Computation. 1962-04, 16 (78): 249. ISSN 0025-5718. doi:10.1090/S0025-5718-1962-0146162-X.
Gillies, Donald B. Three new Mersenne primes and a statistical theory. Mathematics of Computation. 1964-01, 18 (85): 93–97. JSTOR 2003409. doi:10.1090/S0025-5718-1964-0159774-6 .
Noll, Landon Curt; Nickel, Laura. The 25th and 26th Mersenne primes. Mathematics of Computation. 1980-10, 35 (152): 1387. JSTOR 2006405. doi:10.1090/S0025-5718-1980-0583517-4 .
Colquitt, W. N.; Welsh, L. A new Mersenne prime. Mathematics of Computation. 1991-04, 56 (194): 867. Bibcode:1991MaCom..56..867C. JSTOR 2008415. doi:10.1090/S0025-5718-1991-1068823-9 .

bbc.com

Largest known prime number discovered in Missouri -GB. BBC News. 2016-01-20 [2021-11-01]. （原始内容存档于2021-08-21）.

biodiversitylibrary.org

Sur un nouveau nombre premier, annoncé par le père Pervouchine. Bulletin de l'Académie impériale des sciences de St.-Pétersbourg. 1887-01-27, 31: 532–533 [2021-11-01]. （原始内容存档于2021-10-13） –通过Biodiversity Heritage Library.

bnf.fr

visualiseur.bnf.fr

Lucas, Édouard. Note sur l'application des séries récurrentes à la recherche de la loi de distribution des nombres premier. Comptes rendus de l'Académie des Sciences. 1876, 82: 165–167 [2021-11-01]. （原始内容存档于2021-10-13）.

clarku.edu

mathcs.clarku.edu

Joyce, David E. Euclid's Elements, Book IX, Proposition 36. Department of Mathematics and Computer Science. Worcester, MA: Clark University. [2021-11-01]. （原始内容存档于2021-06-17）.

digitale-sammlungen.de

'Calendarium ecclesiasticum – BSB Clm 14908'. Bavarian State Library. [2021-11-01]. （原始内容存档于2021-10-28）.

doi.org

Prielipp, Robert W. Perfect Numbers, Abundant Numbers, and Deficient Numbers. The Mathematics Teacher. 1970, 63 (8): 692–696. JSTOR 27958492. doi:10.5951/MT.63.8.0692 –通过JSTOR.
Wagstaff, Samuel S. Divisors of Mersenne numbers. Mathematics of Computation. 1983-01, 40 (161): 385. ISSN 0025-5718. doi:10.1090/S0025-5718-1983-0679454-X.
Pomerance, Carl. Recent developments in primality testing. The Mathematical Intelligencer. 1981-09, 3 (3): 97–105. ISSN 0343-6993. S2CID 121750836. doi:10.1007/BF03022861.
Ochem, Pascal; Rao, Michaël. Odd perfect numbers are greater than 10¹⁵⁰⁰. Mathematics of Computation. 2012-01-30, 81 (279): 1869–1877. ISSN 0025-5718. doi:10.1090/S0025-5718-2012-02563-4.
Powers, R. E. The Tenth Perfect Number. The American Mathematical Monthly. 1911-11, 18 (11): 195–197. JSTOR 2972574. doi:10.2307/2972574.
Records of Proceedings at Meetings. Proceedings of the London Mathematical Society. 1914, s2–13 (1): iv–xl. doi:10.1112/plms/s2-13.1.1-s.
Notes. Mathematics of Computation. 1952-01, 6 (37): 58–61. ISSN 0025-5718. doi:10.1090/S0025-5718-52-99405-2.
Notes. Mathematics of Computation. 1952-07, 6 (39): 204. ISSN 0025-5718. doi:10.1090/S0025-5718-52-99389-7.
Notes. Mathematics of Computation. 1953-01, 7 (41): 67–72. ISSN 0025-5718. doi:10.1090/S0025-5718-53-99372-7.
Riesel, Hans. A New Mersenne Prime. Mathematics of Computation. 1958-01, 12 (61): 60. doi:10.1090/S0025-5718-58-99282-2 .
Hurwitz, Alexander. New Mersenne primes. Mathematics of Computation. 1962-04, 16 (78): 249. ISSN 0025-5718. doi:10.1090/S0025-5718-1962-0146162-X.
Gillies, Donald B. Three new Mersenne primes and a statistical theory. Mathematics of Computation. 1964-01, 18 (85): 93–97. JSTOR 2003409. doi:10.1090/S0025-5718-1964-0159774-6 .
Tuckerman, Bryant. The 24th Mersenne Prime. Proceedings of the National Academy of Sciences. 1971-10, 68 (10): 2319–2320. Bibcode:1971PNAS...68.2319T. PMC 389411 . PMID 16591945. doi:10.1073/pnas.68.10.2319 .
Noll, Landon Curt; Nickel, Laura. The 25th and 26th Mersenne primes. Mathematics of Computation. 1980-10, 35 (152): 1387. JSTOR 2006405. doi:10.1090/S0025-5718-1980-0583517-4 .
Announcements. The Mathematical Intelligencer. 1983-03, 5 (1): 60. ISSN 0343-6993. doi:10.1007/BF03023507.
Peterson, I. Priming for a Lucky Strike. Science News. 1988-02-06, 133 (6): 85. JSTOR 3972461. doi:10.2307/3972461.
Colquitt, W. N.; Welsh, L. A new Mersenne prime. Mathematics of Computation. 1991-04, 56 (194): 867. Bibcode:1991MaCom..56..867C. JSTOR 2008415. doi:10.1090/S0025-5718-1991-1068823-9 .
Peterson, I. Prime Time for Supercomputers. Science News. 1985-09-28, 128 (13): 199. JSTOR 3970245. doi:10.2307/3970245.
Maddox, John. The endless search for primality. Nature. 1992-03-26, 356 (6367): 283 [2021-11-01]. Bibcode:1992Natur.356..283M. ISSN 1476-4687. S2CID 4327045. doi:10.1038/356283a0. （原始内容存档于2021-10-29）.

gale.com

go.gale.com

Largest Known Prime Number Discovered on Cray Research Supercomputer. PR Newswire. 1994-01-10 [2021-11-01]. （原始内容存档于2021-11-04） –通过Gale.

link.gale.com

Gillmor, Dan. Crunching numbers: Researchers come up with prime math discovery. Knight Ridder. 1996-09-03 [2021-11-01] –通过Gale.

google.com.hk

books.google.com.hk

Stillwell, John. Mathematics and Its History. Undergraduate Texts in Mathematics. Springer Science+Business Media. 2010: 40 [2021-11-01]. ISBN 978-1-4419-6052-8. （原始内容存档于2021-10-13）.
Crilly, Tony. Perfect numbers. 50 mathematical ideas you really need to know. Quercus Publishing. 2007 [2021-11-01]. ISBN 978-1-84724-008-8. （原始内容存档于2021-10-13）.
Dickson, Leonard Eugene. History of the Theory of Numbers, Vol. I. Carnegie Institution of Washington. 1919: 4–6 [2021-11-01]. （原始内容存档于2021-11-04）.
Cataldi, Pietro Antonio. Trattato de' numeri perfetti di Pietro Antonio Cataldo. Presso di Heredi di Giouanni Rossi. 1603 [2021-11-01]. （原始内容存档于2021-11-04）.
Euler, Leonhard. Extrait d'un lettre de M. Euler le pere à M. Bernoulli concernant le Mémoire imprimé parmi ceux de 1771, p 318. Nouveaux Mémoires de l'académie royale des sciences de Berlin. 1772, 1772: 35–36 [2021-11-01]. （原始内容存档于2020-10-15） –通过Euler Archive.

harvard.edu

ui.adsabs.harvard.edu

Tuckerman, Bryant. The 24th Mersenne Prime. Proceedings of the National Academy of Sciences. 1971-10, 68 (10): 2319–2320. Bibcode:1971PNAS...68.2319T. PMC 389411 . PMID 16591945. doi:10.1073/pnas.68.10.2319 .
Colquitt, W. N.; Welsh, L. A new Mersenne prime. Mathematics of Computation. 1991-04, 56 (194): 867. Bibcode:1991MaCom..56..867C. JSTOR 2008415. doi:10.1090/S0025-5718-1991-1068823-9 .
Maddox, John. The endless search for primality. Nature. 1992-03-26, 356 (6367): 283 [2021-11-01]. Bibcode:1992Natur.356..283M. ISSN 1476-4687. S2CID 4327045. doi:10.1038/356283a0. （原始内容存档于2021-10-29）.

jstor.org

Prielipp, Robert W. Perfect Numbers, Abundant Numbers, and Deficient Numbers. The Mathematics Teacher. 1970, 63 (8): 692–696. JSTOR 27958492. doi:10.5951/MT.63.8.0692 –通过JSTOR.
Powers, R. E. The Tenth Perfect Number. The American Mathematical Monthly. 1911-11, 18 (11): 195–197. JSTOR 2972574. doi:10.2307/2972574.
Gillies, Donald B. Three new Mersenne primes and a statistical theory. Mathematics of Computation. 1964-01, 18 (85): 93–97. JSTOR 2003409. doi:10.1090/S0025-5718-1964-0159774-6 .
Noll, Landon Curt; Nickel, Laura. The 25th and 26th Mersenne primes. Mathematics of Computation. 1980-10, 35 (152): 1387. JSTOR 2006405. doi:10.1090/S0025-5718-1980-0583517-4 .
Peterson, I. Priming for a Lucky Strike. Science News. 1988-02-06, 133 (6): 85. JSTOR 3972461. doi:10.2307/3972461.
Colquitt, W. N.; Welsh, L. A new Mersenne prime. Mathematics of Computation. 1991-04, 56 (194): 867. Bibcode:1991MaCom..56..867C. JSTOR 2008415. doi:10.1090/S0025-5718-1991-1068823-9 .
Peterson, I. Prime Time for Supercomputers. Science News. 1985-09-28, 128 (13): 199. JSTOR 3970245. doi:10.2307/3970245.

latimes.com

Dembart, Lee. Supercomputer Comes Up With Whopping Prime Number. Los Angeles Times. 1985-09-17 [2021-11-01]. （原始内容存档于2021-11-02）.
Maugh, Thomas H. Rare prime number found. Los Angeles Times. 2008-09-27 [2021-11-01]. （原始内容存档于2021-10-29）.

mersenne.org

GIMPS Milestones Report. Great Internet Mersenne Prime Search. [2021-11-01]. （原始内容存档于2021-10-31）.
以下文献可以找到所有结果：
- List of Known Mersenne Prime Numbers. Great Internet Mersenne Prime Search. [2021-11-01]. （原始内容存档于2021-10-31）.
- GIMPS Discovers 35th Mersenne Prime, 2^1,398,269-1 is now the Largest Known Prime.. Great Internet Mersenne Prime Search. 1996-11-12 [2021-11-01]. （原始内容存档于2021-10-17）.
- GIMPS Discovers 36th Mersenne Prime, 2^2,976,221-1 is now the Largest Known Prime.. Great Internet Mersenne Prime Search. 1997-09-01 [2021-11-01]. （原始内容存档于2020-06-07）.
- GIMPS Discovers 37th Mersenne Prime, 2^3,021,377-1 is now the Largest Known Prime.. Great Internet Mersenne Prime Search. 1998-02-02 [2021-11-01]. （原始内容存档于2020-06-07）.
- GIMPS Discovers 38th Mersenne Prime 2^6,972,593-1 is now the Largest Known Prime.. Great Internet Mersenne Prime Search. 1999-06-30 [2021-11-01]. （原始内容存档于2020-06-07）.
- GIMPS Discovers 39th Mersenne Prime, 2^13,466,917-1 is now the Largest Known Prime.. Great Internet Mersenne Prime Search. 2001-12-06 [2021-11-01]. （原始内容存档于2020-06-07）.
- GIMPS Discovers 40th Mersenne Prime, 2^20,996,011-1 is now the Largest Known Prime.. Great Internet Mersenne Prime Search. 2003-02-02 [2021-11-01]. （原始内容存档于2020-06-07）.
- GIMPS Discovers 41st Mersenne Prime, 2^24,036,583-1 is now the Largest Known Prime.. Great Internet Mersenne Prime Search. 2004-05-28 [2021-11-01]. （原始内容存档于2021-01-29）.
- GIMPS Discovers 42nd Mersenne Prime, 2^25,964,951-1 is now the Largest Known Prime.. Great Internet Mersenne Prime Search. 2005-02-27 [2021-11-01]. （原始内容存档于2021-03-14）.
- GIMPS Discovers 43rd Mersenne Prime, 2^30,402,457-1 is now the Largest Known Prime.. Great Internet Mersenne Prime Search. 2005-12-24 [2021-11-01]. （原始内容存档于14 March 2021）.
- GIMPS Discovers 44th Mersenne Prime, 2^32,582,657-1 is now the Largest Known Prime.. Great Internet Mersenne Prime Search. 2006-09-11 [2021-11-01]. （原始内容存档于2021-10-17）.
- GIMPS Discovers 45th and 46th Mersenne Primes, 2^43,112,609-1 is now the Largest Known Prime.. Great Internet Mersenne Prime Search. 2008-09-15 [2021-11-01]. （原始内容存档于2021-10-05）.
- GIMPS Discovers 47th Mersenne Prime. Great Internet Mersenne Prime Search. 2009-04-12 [2021-11-01]. （原始内容存档于2021-10-06）.
- GIMPS Discovers 48th Mersenne Prime, 2^57,885,161-1 is now the Largest Known Prime.. Great Internet Mersenne Prime Search. 2013-02-05 [2021-11-01]. （原始内容存档于2021-10-17）.
- GIMPS Project Discovers Largest Known Prime Number: 2^74,207,281-1. Great Internet Mersenne Prime Search. 2016-01-19 [2021-11-01]. （原始内容存档于2021-10-05）.
- GIMPS Project Discovers Largest Known Prime Number: 2^77,232,917-1. Great Internet Mersenne Prime Search. 2018-01-03 [2021-11-01]. （原始内容存档于2021-10-17）.
- GIMPS Discovers Largest Known Prime Number: 2^82,589,933-1. Great Internet Mersenne Prime Search. 2018-12-21 [2021-11-01]. （原始内容存档于2021-10-17）.

nature.com

Maddox, John. The endless search for primality. Nature. 1992-03-26, 356 (6367): 283 [2021-11-01]. Bibcode:1992Natur.356..283M. ISSN 1476-4687. S2CID 4327045. doi:10.1038/356283a0. （原始内容存档于2021-10-29）.

nih.gov

ncbi.nlm.nih.gov

Tuckerman, Bryant. The 24th Mersenne Prime. Proceedings of the National Academy of Sciences. 1971-10, 68 (10): 2319–2320. Bibcode:1971PNAS...68.2319T. PMC 389411 . PMID 16591945. doi:10.1073/pnas.68.10.2319 .

npr.org

Palca, Joe. The World Has A New Largest-Known Prime Number. NPR. 2018-12-21 [2021-11-01]. （原始内容存档于2021-07-30）.

nytimes.com

Science Watch: A New Prime Number. The New York Times. 1979-06-05 [2021-11-01]. （原始内容存档于2021-11-02）.

phys.org

Yirka, Bob. University professor discovers largest prime number to date. phys.org. 2013-02-06 [2021-11-01]. （原始内容存档于2021-10-29）.

proquest.com

Number is largest prime found yet.. The Globe and Mail. 1983-09-24.

semanticscholar.org

api.semanticscholar.org

Pomerance, Carl. Recent developments in primality testing. The Mathematical Intelligencer. 1981-09, 3 (3): 97–105. ISSN 0343-6993. S2CID 121750836. doi:10.1007/BF03022861.
Maddox, John. The endless search for primality. Nature. 1992-03-26, 356 (6367): 283 [2021-11-01]. Bibcode:1992Natur.356..283M. ISSN 1476-4687. S2CID 4327045. doi:10.1038/356283a0. （原始内容存档于2021-10-29）.

slate.com

Lamb, Evelyn. Why You Should Care About a Prime Number That's 23,249,425 Digits Long. Slate Magazine. 2018-01-04 [2021-11-01]. （原始内容存档于2021-10-27）.

st-andrews.ac.uk

mathshistory.st-andrews.ac.uk

O'Connor, John J.; Robertson, Edmund F. Perfect numbers. MacTutor History of Mathematics archive. [2021-11-01]. （原始内容存档于2021-10-23）.

utm.edu

primes.utm.edu

Caldwell, Chris K. Mersenne Primes: History, Theorems and Lists. PrimePages. [2021-10-27]. （原始内容存档于2021-10-27）.
Caldwell, Chris K. If 2ⁿ-1 is prime, then so is n. PrimePages. [2021-11-01]. （原始内容存档于2021-10-27）.
Caldwell, Chris K. Characterizing all even perfect numbers. PrimePages. [2021-11-01]. （原始内容存档于2021-10-27）.
Caldwell, Chris K. Heuristics Model for the Distribution of Mersennes. PrimePages. [2021-11-01]. （原始内容存档于2021-10-19）.
Caldwell, Chris K. A Prime of Record Size! 2^1257787-1. PrimePages. [2021-11-01]. （原始内容存档于2021-10-05）.

web.archive.org

Stillwell, John. Mathematics and Its History. Undergraduate Texts in Mathematics. Springer Science+Business Media. 2010: 40 [2021-11-01]. ISBN 978-1-4419-6052-8. （原始内容存档于2021-10-13）.
Caldwell, Chris K. Mersenne Primes: History, Theorems and Lists. PrimePages. [2021-10-27]. （原始内容存档于2021-10-27）.
Caldwell, Chris K. If 2ⁿ-1 is prime, then so is n. PrimePages. [2021-11-01]. （原始内容存档于2021-10-27）.
Caldwell, Chris K. Characterizing all even perfect numbers. PrimePages. [2021-11-01]. （原始内容存档于2021-10-27）.
Crilly, Tony. Perfect numbers. 50 mathematical ideas you really need to know. Quercus Publishing. 2007 [2021-11-01]. ISBN 978-1-84724-008-8. （原始内容存档于2021-10-13）.
Caldwell, Chris K. Heuristics Model for the Distribution of Mersennes. PrimePages. [2021-11-01]. （原始内容存档于2021-10-19）.
GIMPS Milestones Report. Great Internet Mersenne Prime Search. [2021-11-01]. （原始内容存档于2021-10-31）.
以下文献可以找到所有结果：
- List of Known Mersenne Prime Numbers. Great Internet Mersenne Prime Search. [2021-11-01]. （原始内容存档于2021-10-31）.
- Joyce, David E. Euclid's Elements, Book IX, Proposition 36. Department of Mathematics and Computer Science. Worcester, MA: Clark University. [2021-11-01]. （原始内容存档于2021-06-17）.
- Dickson, Leonard Eugene. History of the Theory of Numbers, Vol. I. Carnegie Institution of Washington. 1919: 4–6 [2021-11-01]. （原始内容存档于2021-11-04）.
- O'Connor, John J.; Robertson, Edmund F. Perfect numbers. MacTutor History of Mathematics archive. [2021-11-01]. （原始内容存档于2021-10-23）.
- 'Calendarium ecclesiasticum – BSB Clm 14908'. Bavarian State Library. [2021-11-01]. （原始内容存档于2021-10-28）.
- Cataldi, Pietro Antonio. Trattato de' numeri perfetti di Pietro Antonio Cataldo. Presso di Heredi di Giouanni Rossi. 1603 [2021-11-01]. （原始内容存档于2021-11-04）.
- Euler, Leonhard. Extrait d'un lettre de M. Euler le pere à M. Bernoulli concernant le Mémoire imprimé parmi ceux de 1771, p 318. Nouveaux Mémoires de l'académie royale des sciences de Berlin. 1772, 1772: 35–36 [2021-11-01]. （原始内容存档于2020-10-15） –通过Euler Archive.
- Sur un nouveau nombre premier, annoncé par le père Pervouchine. Bulletin de l'Académie impériale des sciences de St.-Pétersbourg. 1887-01-27, 31: 532–533 [2021-11-01]. （原始内容存档于2021-10-13） –通过Biodiversity Heritage Library.
- Lucas, Édouard. Note sur l'application des séries récurrentes à la recherche de la loi de distribution des nombres premier. Comptes rendus de l'Académie des Sciences. 1876, 82: 165–167 [2021-11-01]. （原始内容存档于2021-10-13）.
- Science Watch: A New Prime Number. The New York Times. 1979-06-05 [2021-11-01]. （原始内容存档于2021-11-02）.
- Dembart, Lee. Supercomputer Comes Up With Whopping Prime Number. Los Angeles Times. 1985-09-17 [2021-11-01]. （原始内容存档于2021-11-02）.
- Maddox, John. The endless search for primality. Nature. 1992-03-26, 356 (6367): 283 [2021-11-01]. Bibcode:1992Natur.356..283M. ISSN 1476-4687. S2CID 4327045. doi:10.1038/356283a0. （原始内容存档于2021-10-29）.
- Largest Known Prime Number Discovered on Cray Research Supercomputer. PR Newswire. 1994-01-10 [2021-11-01]. （原始内容存档于2021-11-04） –通过Gale.
- Caldwell, Chris K. A Prime of Record Size! 2^1257787-1. PrimePages. [2021-11-01]. （原始内容存档于2021-10-05）.
- GIMPS Discovers 35th Mersenne Prime, 2^1,398,269-1 is now the Largest Known Prime.. Great Internet Mersenne Prime Search. 1996-11-12 [2021-11-01]. （原始内容存档于2021-10-17）.
- GIMPS Discovers 36th Mersenne Prime, 2^2,976,221-1 is now the Largest Known Prime.. Great Internet Mersenne Prime Search. 1997-09-01 [2021-11-01]. （原始内容存档于2020-06-07）.
- GIMPS Discovers 37th Mersenne Prime, 2^3,021,377-1 is now the Largest Known Prime.. Great Internet Mersenne Prime Search. 1998-02-02 [2021-11-01]. （原始内容存档于2020-06-07）.
- GIMPS Discovers 38th Mersenne Prime 2^6,972,593-1 is now the Largest Known Prime.. Great Internet Mersenne Prime Search. 1999-06-30 [2021-11-01]. （原始内容存档于2020-06-07）.
- GIMPS Discovers 39th Mersenne Prime, 2^13,466,917-1 is now the Largest Known Prime.. Great Internet Mersenne Prime Search. 2001-12-06 [2021-11-01]. （原始内容存档于2020-06-07）.
- GIMPS Discovers 40th Mersenne Prime, 2^20,996,011-1 is now the Largest Known Prime.. Great Internet Mersenne Prime Search. 2003-02-02 [2021-11-01]. （原始内容存档于2020-06-07）.
- GIMPS Discovers 41st Mersenne Prime, 2^24,036,583-1 is now the Largest Known Prime.. Great Internet Mersenne Prime Search. 2004-05-28 [2021-11-01]. （原始内容存档于2021-01-29）.
- GIMPS Discovers 42nd Mersenne Prime, 2^25,964,951-1 is now the Largest Known Prime.. Great Internet Mersenne Prime Search. 2005-02-27 [2021-11-01]. （原始内容存档于2021-03-14）.
- GIMPS Discovers 43rd Mersenne Prime, 2^30,402,457-1 is now the Largest Known Prime.. Great Internet Mersenne Prime Search. 2005-12-24 [2021-11-01]. （原始内容存档于14 March 2021）.
- GIMPS Discovers 44th Mersenne Prime, 2^32,582,657-1 is now the Largest Known Prime.. Great Internet Mersenne Prime Search. 2006-09-11 [2021-11-01]. （原始内容存档于2021-10-17）.
- GIMPS Discovers 45th and 46th Mersenne Primes, 2^43,112,609-1 is now the Largest Known Prime.. Great Internet Mersenne Prime Search. 2008-09-15 [2021-11-01]. （原始内容存档于2021-10-05）.
- GIMPS Discovers 47th Mersenne Prime. Great Internet Mersenne Prime Search. 2009-04-12 [2021-11-01]. （原始内容存档于2021-10-06）.
- Maugh, Thomas H. Rare prime number found. Los Angeles Times. 2008-09-27 [2021-11-01]. （原始内容存档于2021-10-29）.
- GIMPS Discovers 48th Mersenne Prime, 2^57,885,161-1 is now the Largest Known Prime.. Great Internet Mersenne Prime Search. 2013-02-05 [2021-11-01]. （原始内容存档于2021-10-17）.
- Yirka, Bob. University professor discovers largest prime number to date. phys.org. 2013-02-06 [2021-11-01]. （原始内容存档于2021-10-29）.
- GIMPS Project Discovers Largest Known Prime Number: 2^74,207,281-1. Great Internet Mersenne Prime Search. 2016-01-19 [2021-11-01]. （原始内容存档于2021-10-05）.
- Largest known prime number discovered in Missouri -GB. BBC News. 2016-01-20 [2021-11-01]. （原始内容存档于2021-08-21）.
- GIMPS Project Discovers Largest Known Prime Number: 2^77,232,917-1. Great Internet Mersenne Prime Search. 2018-01-03 [2021-11-01]. （原始内容存档于2021-10-17）.
- Lamb, Evelyn. Why You Should Care About a Prime Number That's 23,249,425 Digits Long. Slate Magazine. 2018-01-04 [2021-11-01]. （原始内容存档于2021-10-27）.
- GIMPS Discovers Largest Known Prime Number: 2^82,589,933-1. Great Internet Mersenne Prime Search. 2018-12-21 [2021-11-01]. （原始内容存档于2021-10-17）.
- Palca, Joe. The World Has A New Largest-Known Prime Number. NPR. 2018-12-21 [2021-11-01]. （原始内容存档于2021-07-30）.

worldcat.org

Wagstaff, Samuel S. Divisors of Mersenne numbers. Mathematics of Computation. 1983-01, 40 (161): 385. ISSN 0025-5718. doi:10.1090/S0025-5718-1983-0679454-X.
Pomerance, Carl. Recent developments in primality testing. The Mathematical Intelligencer. 1981-09, 3 (3): 97–105. ISSN 0343-6993. S2CID 121750836. doi:10.1007/BF03022861.
Ochem, Pascal; Rao, Michaël. Odd perfect numbers are greater than 10¹⁵⁰⁰. Mathematics of Computation. 2012-01-30, 81 (279): 1869–1877. ISSN 0025-5718. doi:10.1090/S0025-5718-2012-02563-4.
Notes. Mathematics of Computation. 1952-01, 6 (37): 58–61. ISSN 0025-5718. doi:10.1090/S0025-5718-52-99405-2.
Notes. Mathematics of Computation. 1952-07, 6 (39): 204. ISSN 0025-5718. doi:10.1090/S0025-5718-52-99389-7.
Notes. Mathematics of Computation. 1953-01, 7 (41): 67–72. ISSN 0025-5718. doi:10.1090/S0025-5718-53-99372-7.
Hurwitz, Alexander. New Mersenne primes. Mathematics of Computation. 1962-04, 16 (78): 249. ISSN 0025-5718. doi:10.1090/S0025-5718-1962-0146162-X.
Announcements. The Mathematical Intelligencer. 1983-03, 5 (1): 60. ISSN 0343-6993. doi:10.1007/BF03023507.
Maddox, John. The endless search for primality. Nature. 1992-03-26, 356 (6367): 283 [2021-11-01]. Bibcode:1992Natur.356..283M. ISSN 1476-4687. S2CID 4327045. doi:10.1038/356283a0. （原始内容存档于2021-10-29）.