A large prime gap

Weintraub, Sol

doi:10.1090/S0025-5718-1981-0595062-1

Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

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A large prime gap
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Math. Comp. 36 (1981), 279 Request permission

Abstract:

A prime gap of 654 (653 consecutive composites) is found near ${1.1 \times 10^{16}}$.

References

Richard P. Brent, The first occurrence of large gaps between successive primes, Math. Comp. 27 (1973), 959–963. MR 330021, DOI 10.1090/S0025-5718-1973-0330021-0
Daniel Shanks, On maximal gaps between successive primes, Math. Comp. 18 (1964), 646–651. MR 167472, DOI 10.1090/S0025-5718-1964-0167472-8