A132956 The smallest perfect square which is a sum of n consecutive primes.

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

Offset

2,1

Comments

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

Links

Alois P. Heinz, Table of n, a(n) for n = 2..100

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+n-1, prime(i))), ip++); v; } \\ Michel Marcus, Jun 08 2014

Crossrefs

Cf. A132955, A132957.

Sequence in context: A033701 A349869 A260920 * A260015 A163244 A260008

Adjacent sequences: A132953 A132954 A132955 * A132957 A132958 A132959

Keyword

easy,nonn

Author

Enoch Haga, Sep 06 2007

Extensions

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

Status

approved