A251056 - OEIS

A251056

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

38, 414, 466, 514, 714, 844, 850, 1076, 1136, 1186, 1370, 1512, 1544, 1580, 1600, 1700, 1844, 1900, 1918, 2028, 2114, 2250, 2304, 2320, 2330, 2364, 2396, 2404, 2450, 2674, 2846, 2894, 3076, 3314, 3346, 3506, 3612, 3622, 3676, 3718, 3774, 3866, 3912, 3966, 4012, 4126, 4506, 4700

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

LINKS

Zak Seidov, Table of n, a(n) for n = 1..10000

EXAMPLE

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

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

MATHEMATICA

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

CROSSREFS

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