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A061275 Smaller of the two consecutive primes whose sum is a square. 6
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; refs; listen; history; internal format)
OFFSET

1,1

LINKS

Harry J. Smith, Table of n, a(n) for n=1,...,1000

EXAMPLE

a(4) = 283, the next prime is 293 and 283 + 293 = 576 = 24^2.

MATHEMATICA

Transpose[Select[Partition[Prime[Range[20000]], 2, 1], IntegerQ[Sqrt[Plus@@# ]]&]][[1]] [From Harvey P. Dale (hpd1(AT)nyu.edu), Aug 04 2009]

PROG

(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]

CROSSREFS

Subset of A091624. Cf. A206279, A206280, A206281.

Sequence in context: A034783 A126912 A051616 * A128468 A031374 A201792

Adjacent sequences:  A061272 A061273 A061274 * A061276 A061277 A061278

KEYWORD

nonn,easy,changed

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Apr 25 2001

EXTENSIONS

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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Last modified February 16 01:56 EST 2012. Contains 205860 sequences.