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A086978 Increasing peaks in the prime gap sequence A001632. 3
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 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
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.
REFERENCES
P. Ribenboim, The Little Book of Big Primes. Springer-Verlag, 1991, p. 144.
LINKS
Thomas R. Nicely, First occurrence prime gaps [For local copy see A000101]
Eric Weisstein's World of Mathematics, Prime Gaps.
EXAMPLE
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.
CROSSREFS
Sequence in context: A053072 A303092 A361701 * A108829 A111480 A291075
KEYWORD
nonn
AUTHOR
Harry J. Smith, Jul 26 2003
STATUS
approved

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Last modified March 28 14:21 EDT 2024. Contains 371254 sequences. (Running on oeis4.)