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A251056 Numbers n such that n^2 is a sum of 8 consecutive primes. 2

%I #30 Nov 28 2018 15:29:01

%S 38,414,466,514,714,844,850,1076,1136,1186,1370,1512,1544,1580,1600,

%T 1700,1844,1900,1918,2028,2114,2250,2304,2320,2330,2364,2396,2404,

%U 2450,2674,2846,2894,3076,3314,3346,3506,3612,3622,3676,3718,3774,3866,3912,3966,4012,4126,4506,4700

%N Numbers n such that n^2 is a sum of 8 consecutive primes.

%H Zak Seidov, <a href="/A251056/b251056.txt">Table of n, a(n) for n = 1..10000</a>

%e 38^2 = 1444 = prime(38) + ... + prime(45) = 163 + 167 + 173 + 179 + 181 + 191 + 193 + 197,

%e 414^2 = 171396 = prime(2401) + ... + prime(2408) = 21391 + 21397 + 21401 + 21407 + 21419 + 21433 + 21467 + 21481.

%t Sqrt[#]&/@Select[Total/@Partition[Prime[Range[250000]],8,1], IntegerQ[ Sqrt[#]]&] (* _Harvey P. Dale_, Nov 28 2018 *)

%Y Cf. A074924, A051395, A252018, A252019, A252066.

%K nonn

%O 1,1

%A _Zak Seidov_, Dec 14 2014

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Last modified April 26 04:36 EDT 2024. Contains 371989 sequences. (Running on oeis4.)