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Irregular Primes and Cyclotomic Invariants to Four Million

J. Buhler, R. Crandall, R. Ernvall and T. Metsänkylä
Mathematics of Computation
Vol. 61, No. 203, Special Issue Dedicated to Derrick Henry Lehmer (Jul., 1993), pp. 151-153
DOI: 10.2307/2152942
Stable URL: http://www.jstor.org/stable/2152942
Page Count: 3
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Irregular Primes and Cyclotomic Invariants to Four Million
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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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