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A132956 The smallest perfect square which is a sum of n consecutive primes. 4

%I #8 Jun 08 2014 08:48:22

%S 36,49,36,961,3600,169,1444,100,138384,11449,2304,9025,484,60025,7056,

%T 35721,8836,85849,25600,6889,40000,961,1156,58081,7056,1369,32400,

%U 426409,60516,1849,7396,15129,77284,5329,19600,3249,39204,96721,32400

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

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

%H Alois P. Heinz, <a href="/A132956/b132956.txt">Table of n, a(n) for n = 2..100</a>

%e 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.

%o (PARI) a(n) = {ip = 1; while (! issquare(v=sum(i=ip, ip+n-1, prime(i))), ip++); v;} \\ _Michel Marcus_, Jun 08 2014

%Y Cf. A132955, A132957.

%K easy,nonn

%O 2,1

%A _Enoch Haga_, Sep 06 2007

%E Definition simplified, offset set to 2 by _R. J. Mathar_, Oct 30 2009

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Last modified September 14 15:15 EDT 2024. Contains 375921 sequences. (Running on oeis4.)