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A166256 Numbers n with property that n^2 is a sum of some 70 successive primes. 2
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified April 18 22:45 EDT 2021. Contains 343098 sequences. (Running on oeis4.)