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Search: id:A061275
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| A061275 |
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Smaller of the two consecutive primes whose sum is a square. |
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+0
3
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| 17, 47, 71, 283, 881, 1151, 1913, 2591, 3527, 4049, 6047, 7193, 7433, 15137, 20807, 21617, 24197, 26903, 28793, 34847, 46817, 53129, 56443, 69191, 74489, 83231, 84047, 98563, 103049, 103967, 109507, 110441, 112337, 136237, 149057, 151247
(list; graph; listen)
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OFFSET
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1,1
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LINKS
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Harry J. Smith, Table of n, a(n) for n=1,...,1000
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EXAMPLE
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a(4) = 283, the next prime is 293 and 283 + 293 = 576 = 24^2.
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MATHEMATICA
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Transpose[Select[Partition[Prime[Range[20000]], 2, 1], IntegerQ[Sqrt[Plus@@# ]]&]][[1]] [From Harvey P. Dale (hpd1(AT)nyu.edu), Aug 04 2009]
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PROGRAM
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(PARI) { default(primelimit, 550655327); n=0; q=2; forprime (p=3, 550655327, if (issquare(p+q), write("b061275.txt", n++, " ", q)); q=p ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jul 20 2009]
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CROSSREFS
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Subset of A091624.
Sequence in context: A034783 A126912 A051616 this_sequence A128468 A031374 A061722
Adjacent sequences: A061272 A061273 A061274 this_sequence A061276 A061277 A061278
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KEYWORD
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nonn,easy
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Apr 25 2001
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EXTENSIONS
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More terms from Larry Reeves (larryr(AT)acm.org) and Asher Natan Auel (auela(AT)reed.edu), May 15 2001
OFFSET changed from 0,1 to 1,1 by Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jul 20 2009
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