完全数 (Japanese Wikipedia)

75個以上であることを示した、以前の結果は K. G. Hare, "New techniques for bounds on the total number of prime factors of an odd perfect number", Math. Comp. 76. (2007), 2241-2248. preprint

web.archive.org (Global: 1^st place; Japanese: 1^st place)

“GIMPS Discovers Largest Known Prime Number: 2^136,279,841-1” (Press release) (英語). GIMPS. 21 October 2024. 2024年11月19日時点のオリジナルよりアーカイブ. 2024年11月21日閲覧.
Pomerance's Heuristic that Odd Perfect Numbers are Unlikely

wikipedia.org (Global: low place; Japanese: low place)

en.wikipedia.org

コンスタンス・レイド（英語版）『ゼロから無限へ』芹沢正三訳　講談社ブルーバックス 1971年 ISBN 978-4061177772 p133

wolfram.com (Global: 513^th place; Japanese: 882^nd place)

mathworld.wolfram.com

Weisstein, Eric W. “Multiperfect Number”. mathworld.wolfram.com (英語).
Weisstein, Eric W. “Deficient Number”. mathworld.wolfram.com (英語).
Weisstein, Eric W. “Abundant Number”. mathworld.wolfram.com (英語).
Weisstein, Eric W. “Amicable Pair”. mathworld.wolfram.com (英語).
Weisstein, Eric W. “Sociable Numbers”. mathworld.wolfram.com (英語).
Weisstein, Eric W. “Quasiperfect Number”. mathworld.wolfram.com (英語).
Weisstein, Eric W. “Almost Perfect Number”. mathworld.wolfram.com (英語).
Weisstein, Eric W. “Multiplicative Perfect Number”. mathworld.wolfram.com (英語).

worldcat.org (Global: 5^th place; Japanese: 19^th place)

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Fletcher, S. Adam; Nielsen, Pace P.; Ochem, Pascal (2012). “Sieve methods for odd perfect numbers”. Mathematics of Computation 81 (279): 1753--1776. doi:10.1090/S0025-5718-2011-02576-7. ISSN 0025-5718. MR2904601.
Yamada, Tomohiro (2019). “A new upper bound for odd perfect numbers of a special form”. Colloquium Mathematicum 156 (1): 15--21. doi:10.4064/cm7339-3-2018. ISSN 1730-6302.
Ochem, Pascal; Rao, Michaël (2012). “Odd perfect numbers are greater than 10¹⁵⁰⁰”. Mathematics of Computation 81 (279): 1869--1877. doi:10.1090/S0025-5718-2012-02563-4. ISSN 0025-5718. MR2904606. Zbl 1263.11005.
Nielsen, Pace P. (2015). “Odd perfect numbers, Diophantine equations, and upper bounds”. Mathematics of Computation 84 (295): 2549--2567. doi:10.1090/S0025-5718-2015-02941-X. ISSN 0025-5718. MR3356038.
Nielsen, Pace P. (2007). “Odd perfect numbers have at least nine distinct prime factors”. Mathematics of Computation 76 (260): 2109--2126. arXiv:math/0602485. doi:10.1090/S0025-5718-07-01990-4. ISSN 0025-5718. MR2336286.

zbmath.org (Global: 1,923^rd place; Japanese: 3,500^th place)

Ochem, Pascal; Rao, Michaël (2012). “Odd perfect numbers are greater than 10¹⁵⁰⁰”. Mathematics of Computation 81 (279): 1869--1877. doi:10.1090/S0025-5718-2012-02563-4. ISSN 0025-5718. MR2904606. Zbl 1263.11005.

完全数 (Japanese Wikipedia)

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ams.org (Global: 451^st place; Japanese: 1,252^nd place)

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