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A058320
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Distinct even prime-gap lengths (number of composites between primes), from 3+2, 7+4, 23+6,...
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9
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2, 4, 6, 8, 14, 10, 12, 18, 20, 22, 34, 24, 16, 26, 28, 30, 32, 36, 44, 42, 40, 52, 48, 38, 72, 50, 62, 54, 60, 58, 46, 56, 64, 68, 86, 66, 70, 78, 76, 82, 96, 112, 100, 74, 90, 84, 114, 80, 88, 98, 92, 106, 94, 118, 132, 104, 102, 110, 126, 120, 148, 108
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OFFSET
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0,1
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COMMENTS
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Nicely and Nyman have sieved up to 1.3565*10^16 at least. They admit it is likely they have suffered from hardware or software bugs, but believe the probability the sequence up to this point is incorrect is <1 in a million. This sequence is presumably all even integers (in different order). It is not monotonic. The monotonic subsequence of record-breaking prime gaps is A005250.
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LINKS
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MATHEMATICA
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DeleteDuplicates[Differences[Prime[Range[2, 200000]]]] (* Harvey P. Dale, Dec 07 2014 *)
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CROSSREFS
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KEYWORD
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hard,nice,nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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