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Mathematics of Computation

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The first occurrence of large gaps between successive primes

Author: Richard P. Brent
Journal: Math. Comp. 27 (1973), 959-963
MSC: Primary 10A20
MathSciNet review: 0330021
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Abstract: A table of the first occurrence of a string of $ 2r - 1$ composite numbers between two primes is given for $ r = 158(1)267,269,270,273,275,276,281,282,291,294$ and 301. All such strings between primes less than $ 2.6 \times 10^{12}$ have been accounted for. The computation supports some conjectures on the distribution of these strings.

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Keywords: Prime, distribution of primes, prime gap, maximal prime gap, successive composites, consecutive primes
Article copyright: © Copyright 1973 American Mathematical Society

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