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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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2
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3, 5, 11, 97, 1847, 5623, 89753, 3851587, 1872852203, 1999066711903, 22790428875365903
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| 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
| T. R. Nicely, List of prime gaps
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FORMULA
| 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
| Cf. A062529.
Cf. A000230.
Sequence in context: A089070 A168040 A068157 * A089628 A083841 A154941
Adjacent sequences: A062527 A062528 A062529 * A062531 A062532 A062533
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KEYWORD
| nonn,hard,more
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AUTHOR
| Labos E. (labos(AT)ana.sote.hu), Jun 25 2001
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EXTENSIONS
| 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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