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New Congruences for the Bernoulli Numbers
Jonathan W. Tanner and Samuel S. Wagstaff, Jr.
Mathematics of Computation
Vol. 48, No. 177 (Jan., 1987), pp. 341-350
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2007895
Page Count: 10
You can always find the topics here!Topics: Mathematical congruence, Mathematical vectors, Numbers, Tanneries, Mathematical theorems, Logical proofs, Coefficients, Fermats last theorem, Integers, Computer programming
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We prove a new congruence for computing Bernoulli numbers modulo a prime. Since it is similar to Vandiver's congruences but has fewer terms, it may be used to test primes for regularity efficiently. We have programmed this test on a CYBER 205 computer. Fermat's "Last Theorem" has been proved for all exponents up to 150000.
Mathematics of Computation © 1987 American Mathematical Society