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

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.

Sequence in context: A155193 A159943 A221634 * A267474 A240258 A254471

Adjacent sequences: A251053 A251054 A251055 * A251057 A251058 A251059

Keyword

nonn

Author

Zak Seidov, Dec 14 2014

Status

approved