Some factorizations of numbers of the form 2ⁿ±1

Robinson, Raphael M.

doi:10.1090/S0025-5718-1957-0094313-6

Some factorizations of numbers of the form $2^{n}\pm 1$

Author: Raphael M. Robinson
Journal: Math. Comp. 11 (1957), 265-268
MSC: Primary 10.00; Secondary 68.00
DOI: https://doi.org/10.1090/S0025-5718-1957-0094313-6
MathSciNet review: 0094313
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A. J. C. Cunningham & H. J. Woodall, Factorisation of ${y^n} \mp 1,y = 2,3,5,6,7,10,11,12$ up to high powers ($n$), Francis Hodgson, London, 1925.

D. H. Lehmer, On the factors of $2^n\pm 1$, Bull. Amer. Math. Soc. 53 (1947), 164–167. MR 19635, DOI https://doi.org/10.1090/S0002-9904-1947-08774-7
Raphael M. Robinson, Mersenne and Fermat numbers, Proc. Amer. Math. Soc. 5 (1954), 842–846. MR 64787, DOI https://doi.org/10.1090/S0002-9939-1954-0064787-4
Raphael M. Robinson, Factors of Fermat numbers, Math. Tables Aids Comput. 11 (1957), 21–22. MR 85269, DOI https://doi.org/10.1090/S0025-5718-1957-0085269-0

J. L. Selfridge, “Factors of Fermat numbers,” MTAC, v. 7, 1953, p. 274-275.

M. Kraitchik, Introduction à la théorie des nombres, Gauthier-Villars, Paris, 1952 (French). MR 0051845

R. C. Archibald, “Mersenne numbers,” MTAC, v. 3, Note 98, 1949, p. 398.