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Search: id:A058320
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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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+0
4
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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
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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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 odd integers (in different order). It is not monotonic. The monotonic subseq of record-breaking prime gaps is A005250.
Essentially the same as A014320. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 13 2008]
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REFERENCES
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Richard P. Brent: The first occurrence of large gaps between successive primes, Math. Comp. 27:124 (1973), 959-963.
T.R. Nicely: New maximal prime gaps and first occurrences, Math. Comput. 68,227 (1999) 1311-1315.
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LINKS
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T. R. Nicely, List of prime gaps
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CROSSREFS
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Cf. A008996, A005250.
Equals 2*A014321(n-1).
Sequence in context: A039846 A094092 A072791 this_sequence A014320 A080377 A086526
Adjacent sequences: A058317 A058318 A058319 this_sequence A058321 A058322 A058323
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KEYWORD
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hard,nice,nonn
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AUTHOR
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Warren D. Smith (wds(AT)research.nj.nec.com), Dec 11 2000
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