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

%I

%S 200,322,770,982,2848,5552,6622,7236,7292,7972,8472,8750,9166,9350,

%T 9708,10272,11922,12242,13246,13280,13648,13728,14736,16552,17134,

%U 17556,17800,18294,18410,19296,22352,22570,23454,24120,24340,24424,24432,26194,28740,32248

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

%C 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.

%H Zak Seidov, <a href="/A166256/b166256.txt">Table of n, a(n) for n = 1..100</a>

%e 200^2=prime(71)+...+prime(71+69),

%e 322^2=prime(201)+...+prime(201+69),

%e 770^2=prime(1024)+...+prime(1024+69).

%o (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

%Y Cf. A166255.

%K nonn

%O 1,1

%A _Zak Seidov_, Oct 10 2009

%E a(38)-a(40) from _Michel Marcus_, Oct 15 2013

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Last modified May 18 03:03 EDT 2021. Contains 343994 sequences. (Running on oeis4.)