

A132956


The smallest perfect square which is a sum of n consecutive primes.


4



36, 49, 36, 961, 3600, 169, 1444, 100, 138384, 11449, 2304, 9025, 484, 60025, 7056, 35721, 8836, 85849, 25600, 6889, 40000, 961, 1156, 58081, 7056, 1369, 32400, 426409, 60516, 1849, 7396, 15129, 77284, 5329, 19600, 3249, 39204, 96721, 32400
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OFFSET

2,1


COMMENTS

The smallest of these n consecutive primes is A132955(n).


LINKS



EXAMPLE

a(2)=36, because 2+3=5 is not a perfect square, 3+5=8 is not, 5+7=12 is not, 7+11 is not.. but 17+19=36=6^2 is.


PROG

(PARI) a(n) = {ip = 1; while (! issquare(v=sum(i=ip, ip+n1, prime(i))), ip++); v; } \\ Michel Marcus, Jun 08 2014


CROSSREFS



KEYWORD

easy,nonn


AUTHOR



EXTENSIONS

Definition simplified, offset set to 2 by R. J. Mathar, Oct 30 2009


STATUS

approved



