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Search: id:A062529
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| A062529 |
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Smallest prime p such that there is a gap of 2^n between p and the next prime. |
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+0
4
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| 2, 3, 7, 89, 1831, 5591, 89689, 3851459, 1872851947, 1999066711391, 22790428875364879
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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a(2)=7 because 7 and 11 are consecutive primes with difference 4.
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LINKS
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C. Hilliard, TwinPrimes Java code.
Thomas R. Nicely, First occurrence prime gaps.
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FORMULA
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a(n)=A000230[2^(n-1)]. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 12 2007
a(n) = A000230[2^(n-1)] = Min{p|nextprime(p)-p = 2^n} [May need adjusting since offset has been changed]
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EXAMPLE
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p=89, 89+2^3 = 97, prime
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MATHEMATICA
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f[n_] := Block[{k = 1}, While[Prime[k + 1] != n + Prime[k], k++ ]; Prime[k]]; Do[ Print[ f[2^n]], {n, 0, 10}] (Robert G. Wilson v, Jan 13 2005)
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CROSSREFS
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Cf. A000230, A062530, A101232.
Sequence in context: A065002 A053964 A062578 this_sequence A058443 A163152 A088120
Adjacent sequences: A062526 A062527 A062528 this_sequence A062530 A062531 A062532
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KEYWORD
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nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Jun 25 2001
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EXTENSIONS
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a(10) sent by Robert G. Wilson v (rgwv(AT)rgwv.com), Jan 13 2005
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