1993/01/01 by Joe Buhler, Richard E. Crandall, R. Ernvall +1 · 59 citations
Computer Science · Mathematics · #Cryptography and Residue Arithmetic #Analytic Number Theory Research #Algebraic Geometry and Number Theory #Mathematics #Fermat's Last Theorem #Cyclotomic polynomial #Conjecture #Cyclotomic field #Prime (order theory) #Pure mathematics #Discrete mathematics #Combinatorics #Mathematical analysis #Polynomial
paper · pdf · doi:10.1090/s0025-5718-1993-1197511-5
published in Mathematics of Computation 61(203), 151-153 (American Mathematical Society)
openalex publication_date 1993/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.