Irregular Primes and Cyclotomic Invariants to Four Million
- 1 July 1993
- journal article
- Published by JSTOR in Mathematics of Computation
- Vol. 61 (203) , 151-153
- https://doi.org/10.2307/2152942
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.Keywords
This publication has 6 references indexed in Scilit:
- Discrete Weighted Transforms and Large-Integer ArithmeticMathematics of Computation, 1994
- Irregular Primes to One MillionMathematics of Computation, 1992
- Cyclotomic Invariants for Primes to One MillionMathematics of Computation, 1992
- New Congruences for the Bernoulli NumbersMathematics of Computation, 1987
- Irregular Primes and Cyclotomic InvariantsMathematics of Computation, 1975
- AN APPLICATION OF HIGH-SPEED COMPUTING TO FERMAT'S LAST THEOREMProceedings of the National Academy of Sciences, 1954