The twentieth Fermat number is composite

Authors:
Jeff Young and Duncan A. Buell

Journal:
Math. Comp. **50** (1988), 261-263

MSC:
Primary 11A51; Secondary 11Y05, 11Y11

DOI:
https://doi.org/10.1090/S0025-5718-1988-0917833-8

MathSciNet review:
917833

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Abstract | References | Similar Articles | Additional Information

Abstract: The twentieth Fermat number, , has been proven composite by machine computation.

**[1]**Wilfrid Keller, "Factors of Fermat numbers and large primes of the form ,"*Math. Comp.*, v. 41, 1983, pp. 661-673. MR**717710 (85b:11117)****[2]**J. C. Morehead, "Note on Fermat's numbers,"*Bull. Amer. Math. Soc.*, v. 11, 1905, pp. 543-545. MR**1558255****[3]**J. C. Morehead & A. E. Western, "Note on Fermat's numbers,"*Bull. Amer. Math. Soc.*, v. 16, 1909, pp. 1-6. MR**1558828****[4]**G. A. Paxson, "The compositeness of the thirteenth Fermat number,"*Math. Comp.*, v. 15, 1961, p. 420. MR**0124264 (23:A1578)****[5]**P. Pépin, "Sur la formule ,"*C. R. Acad. Sci. Paris*, v. 85, 1877, pp. 329-331.**[6]**R. M. Robinson, "Mersenne and Fermat numbers,"*Proc. Amer. Math. Soc.*, v. 5, 1954, pp. 842-846. MR**0064787 (16:335d)****[7]**J. L. Selfridge & Alexander Hurwitz, "Fermat numbers and Mersenne numbers,"*Math. Comp.*, v. 18, 1964, pp. 146-148. MR**0159775 (28:2991)**

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DOI:
https://doi.org/10.1090/S0025-5718-1988-0917833-8

Article copyright:
© Copyright 1988
American Mathematical Society