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Search: id:A086977
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| 199, 1831, 5591, 30593, 81463, 82073, 162143, 173359, 404597, 542603, 544279, 1100977, 1444309, 2238823, 5845193, 6752623, 6958667, 11981443, 13626257, 49269581, 83751121, 147684137, 166726367, 378043979, 895858039, 1872851947
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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a(n) is the smaller 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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T. R. Nicely, List of "First occurrence prime gaps"
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics. Prime Gaps.
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EXAMPLE
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1831 is in this list because the next prime is 1847, 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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Cf. A000230, A001223, A001632, A038664, A086978, A086979, A086980.
Sequence in context: A142570 A117594 A052188 this_sequence A069244 A052355 A097732
Adjacent sequences: A086974 A086975 A086976 this_sequence A086978 A086979 A086980
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KEYWORD
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nonn
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AUTHOR
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Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jul 26 2003
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