Two new factors of Fermat numbers
Authors:
John C. Hallyburton and John Brillhart
Journal:
Math. Comp. 29 (1975), 109112
MSC:
Primary 1004; Secondary 10A40
Corrigendum:
Math. Comp. 30 (1976), 198.
Corrigendum:
Math. Comp. 30 (1976), 198.
MathSciNet review:
0369225
Fulltext PDF Free Access
Abstract 
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Abstract: A new prime factor is given for each of the Fermat numbers and (none was previously known for ). The factoring method used and its machine implementation are discussed. A short table of factors and a current status list are also included.
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 JOHN BRILLHART, "Some miscellaneous factorizations," Math. Comp., v. 17, 1963, pp. 447450.
 [2]
 ALEXANDER HURWITZ & J. L. SELFRIDGE, "Fermat numbers and perfect numbers," Notices Amer. Math. Soc., v. 8, 1961, p. 601, Abstract #587104.
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 MICHAEL A. MORRISON & JOHN BRILLHART, "The factorization of ," Bull. Amer. Math. Soc., v. 77, 1971, p. 264. MR 42 #3012. MR 0268113 (42:3012)
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 MICHAEL A. MORRISON & JOHN BRILLHART, "A method of factoring and the factorization of ," Math. Comp., v. 29, 1975, pp. 183205 (this issue). MR 0371800 (51:8017)
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 G. A. PAXSON, "The compositeness of the thirteenth Fermat number," Math. Comp., v. 15, 1961, p. 420. MR 23 #A1578. MR 0124264 (23:A1578)
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 HANS RIESEL, "A factor of the Fermat number ," Math. Comp., v. 17, 1963, p. 458.
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 J. L. SELFRIDGE, "Factors of Fermat numbers," MTAC, v. 7, 1953, pp. 274275.
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 J. L. SELFRIDGE & ALEXANDER HURWITZ, "Fermat numbers and Mersenne numbers," Math. Comp., v. 18, 1964, pp. 146148. MR 28 #2991. MR 0159775 (28:2991)
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 CLAUDE P. WRATHALL, "New factors of Fermat numbers," Math. Comp., v. 18, 1964, pp. 324325. MR 29 #1167. MR 0163868 (29:1167)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S00255718197503692251
PII:
S 00255718(1975)03692251
Keywords:
Fermat numbers,
factoring
Article copyright:
© Copyright 1975
American Mathematical Society
