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

1,1

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.

Links

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

Example

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

Prog

(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

Crossrefs

Cf. A166255.

Sequence in context: A124472 A247399 A078492 * A252059 A004966 A117412

Adjacent sequences: A166253 A166254 A166255 * A166257 A166258 A166259

Keyword

nonn

Author

Zak Seidov, Oct 10 2009

Extensions

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

Status

approved