Mersenne and Fermat numbers

Mersenne and Fermat numbers
HTML articles powered by AMS MathViewer

Proc. Amer. Math. Soc. 5 (1954), 842-846

DOI: https://doi.org/10.1090/S0002-9939-1954-0064787-4

PDF | Request permission

References

Mersenne’s numbers

Charles B. Barker, Proof that the Mersenne number $M_{167}$ is composite, Bull. Amer. Math. Soc. 51 (1945), 389. MR 12077, DOI 10.1090/S0002-9904-1945-08362-1

Nombres de Mersenne

Maurice Kraitchik, On the factorization of $2^n\pm 1$, Scripta Math. 18 (1952), 39–52. MR 49113

Note on the Mersenne number

Note on Mersenne numbers

D. H. Lehmer, An extended theory of Lucas’ functions, Ann. of Math. (2) 31 (1930), no. 3, 419–448. MR 1502953, DOI 10.2307/1968235

Recent discoveries of large primes

A new Mersenne prime

Two new Mersenne primes

J. C. Morehead, Note on Fermat’s numbers, Bull. Amer. Math. Soc. 11 (1905), no. 10, 543–545. MR 1558255, DOI 10.1090/S0002-9904-1905-01255-6
J. C. Morehead and A. E. Western, Note on Fermat’s numbers, Bull. Amer. Math. Soc. 16 (1909), no. 1, 1–6. MR 1558828, DOI 10.1090/S0002-9904-1909-01841-5

Certain composite Mersenne’s numbers

Note on a Mersenne number

Factors of Fermat numbers

H. S. Uhler, First proof that the Mersenne number $M_{157}$ is composite, Proc. Nat. Acad. Sci. U.S.A. 30 (1944), 314–316. MR 10705, DOI 10.1073/pnas.30.10.314
Horace S. Uhler, A brief history of the investigations on Mersenne numbers and the latest immense primes, Scripta Math. 18 (1952), 122–131. MR 50512