

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
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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. SpringerVerlag, 1991, p. 144.


LINKS

Table of n, a(n) for n=1..26.
T. R. Nicely, List of "First occurrence prime gaps"
Eric Weisstein's World of Mathematics, Prime Gaps 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

Cf. A000230, A001223, A001632, A038664, A086977, A086979, A086980, A002386.
Sequence in context: A137872 A053072 A303092 * A108829 A111480 A291075
Adjacent sequences: A086975 A086976 A086977 * A086979 A086980 A086981


KEYWORD

nonn


AUTHOR

Harry J. Smith, Jul 26 2003


STATUS

approved



