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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
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.
KEYWORD
nonn
AUTHOR
Harry J. Smith, Jul 26 2003
STATUS
approved