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A118591 Larger of two consecutive primes whose sum is a square. 1
19, 53, 73, 293, 883, 1153, 1931, 2593, 3529, 4051, 6053, 7207, 7451, 15139, 20809, 21647, 24203, 26921, 28807, 34849, 46819, 53147, 56453, 69193, 74507, 83233, 84053, 98573, 103067, 103969, 109517, 110459, 112339, 136247, 149059, 151253 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Harvey P. Dale, Table of n, a(n) for n = 1..600

EXAMPLE

17 and 19 are consecutive primes whose sum is 36, a square, so 19 is the first term.

MATHEMATICA

Transpose[Select[Partition[Prime[Range[14000]], 2, 1], IntegerQ[ Sqrt[ Total[#]]]&]] [[2]] (* Harvey P. Dale, May 03 2012 *)

PROG

(PARI) g(n) = for(x=2, n, if(issquare(prime(x)+prime(x-1)), print1(prime(x)", ")))

CROSSREFS

Sequence in context: A063306 A190267 A066775 * A031341 A165982 A194431

Adjacent sequences:  A118588 A118589 A118590 * A118592 A118593 A118594

KEYWORD

easy,nonn

AUTHOR

Cino Hilliard, May 08 2006

STATUS

approved

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Last modified November 27 15:41 EST 2014. Contains 250224 sequences.