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Search: id:A062530
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| A062530 |
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Smallest prime p such that there is a gap of 2^n between p and previous prime. |
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+0
3
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| 3, 5, 11, 97, 1847, 5623, 89753, 3851587, 1872852203, 1999066711903, 22790428875365903
(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)=11 because 7 and 11 are consecutive primes with difference 4. - Sascha Kurz (sascha.kurz(AT)uni-bayreuth.de), Mar 05 2002
The next two terms are <= 13615411331526592827872074749865096844383295034548454421 and 768784577114627305753353689789300110953010089817032096740065409732504678169114467301254783622575120297131239844 respectively. - Larry Reeves (larryr(AT)acm.org), Jun 13 2002
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LINKS
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T. R. Nicely, List of prime gaps
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FORMULA
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a(n) = A000230[2^(n-1)]+2^n = Min{p | p-prevprime(p)=2^n}. - Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Feb 24 2002
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CROSSREFS
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Cf. A062529.
Cf. A000230.
Adjacent sequences: A062527 A062528 A062529 this_sequence A062531 A062532 A062533
Sequence in context: A046928 A089070 A068157 this_sequence A089628 A083841 A154941
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KEYWORD
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nonn,hard,more
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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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More terms from Sascha Kurz (sascha.kurz(AT)uni-bayreuth.de), Mar 05 2002
Further terms from Larry Reeves (larryr(AT)acm.org), Jun 13 2002
Edited by N. J. A. Sloane Aug 31 2009 at the suggestion of R. J. Mathar
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