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A086978
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Increasing peaks in the prime gap sequence A001632.
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3
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211, 1847, 5623, 30631, 81509, 82129, 162209, 173429, 404671, 542683, 544367, 1101071, 1444411, 2238931, 5845309, 6752747, 6958801, 11981587, 13626407, 49269739, 83751287, 147684323, 166726561, 378044179, 895858267, 1872852203
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OFFSET
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1,1
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COMMENTS
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a(n) is the larger of the two consecutive primes having a late occurring prime gap g = p_k+1 - p_k. All even gaps smaller than g occur at a smaller prime. Also, the next even gap g+2 also occurs earlier.
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REFERENCES
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P. Ribenboim, The Little Book of Big Primes. Springer-Verlag, 1991, p. 144.
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LINKS
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Eric Weisstein's World of Mathematics, Prime Gaps.
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EXAMPLE
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1847 is in this list because the previous prime is 1831, giving a
prime gap of 16. All even gaps less than 16 occur before this (for
smaller primes) and the next even gap, 18, also occurs earlier.
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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