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Mathematics of Computation

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Irregular primes and cyclotomic invariants to four million

Authors: J. Buhler, R. Crandall, R. Ernvall and T. Metsänkylä
Journal: Math. Comp. 61 (1993), 151-153
MSC: Primary 11B68; Secondary 11D41, 11R29, 11Y35, 11Y40
MathSciNet review: 1197511
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Abstract: Recent computations of irregular primes, and associated cyclotomic invariants, were extended to all primes below four million using an enhanced multisectioning/convolution method. Fermat’s "Last Theorem" and Vandiver’s conjecture were found to be true for those primes, and the cyclotomic invariants behaved as expected. There is exactly one prime less than four million whose index of irregularity is equal to seven.

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Article copyright: © Copyright 1993 American Mathematical Society