A166256 Numbers n with property that n^2 is a sum of some 70 successive primes.

200, 322, 770, 982, 2848, 5552, 6622, 7236, 7292, 7972, 8472, 8750, 9166, 9350, 9708, 10272, 11922, 12242, 13246, 13280, 13648, 13728, 14736, 16552, 17134, 17556, 17800, 18294, 18410, 19296, 22352, 22570, 23454, 24120, 24340, 24424, 24432, 26194, 28740, 32248

Offset: 1

Author

Zak Seidov, Oct 10 2009

Keywords

• nonn

Comments

Indices of the initial primes of series of 70 successive primes are (A166255): 71,201,1024,1594,10915,36934,51050,60054,60914,71822,80331,85230,92916.

Examples

			200^2=prime(71)+...+prime(71+69),
322^2=prime(201)+...+prime(201+69),
770^2=prime(1024)+...+prime(1024+69).
		

Links

• Zak Seidov, Table of n, a(n) for n = 1..100

Crossrefs

Cf. A166255.

Programs

PARI

lista(nn) = {pr = primes(nn); for (i = 1, nn-69, s = sum(k=i, i+69, pr[k]); if (issquare(s), print1(sqrtint(s), ", ")););} \\ Michel Marcus, Oct 15 2013

Extensions

a(38)-a(40) from Michel Marcus, Oct 15 2013