Gunderson’s function in Fermat’s last theorem
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- by Daniel Shanks and H. C. Williams PDF
- Math. Comp. 36 (1981), 291-295 Request permission
Abstract:
We study Gunderson’s function which gives a bound on the first case of Fermat’s last theorem, assuming that the generalized Wieferich criterion is valid for the first n prime bases. We note two unexpected phenomena.References
- J. Brillhart, J. Tonascia, and P. Weinberger, On the Fermat quotient, Computers in number theory (Proc. Sci. Res. Council Atlas Sympos. No. 2, Oxford, 1969) Academic Press, London, 1971, pp. 213–222. MR 0314736 D. H. Lehmer & Emma Lehmer, "Cyclotomy with $\mu (n) = 0$." (To appear.) Norman G. Gunderson, Derivation of Criteria for the First Case of Fermat’s Last Theorem and the Combination of These Criteria to Produce a New Lower Bound for the Exponent, Thesis, Cornell University, Sept. 1948.
- Daniel Shanks, Solved and unsolved problems in number theory, 2nd ed., Chelsea Publishing Co., New York, 1978. MR 516658
- D. H. Lehmer, On Fermat’s quotient, base two, Math. Comp. 36 (1981), no. 153, 289–290. MR 595064, DOI 10.1090/S0025-5718-1981-0595064-5
Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Math. Comp. 36 (1981), 291-295
- MSC: Primary 10-04; Secondary 10B15
- DOI: https://doi.org/10.1090/S0025-5718-1981-0595065-7
- MathSciNet review: 595065