A252018 - OEIS

A252018

Numbers n such that n^2 is a sum of 6 consecutive primes.

60, 156, 160, 218, 258, 314, 360, 372, 478, 486, 576, 616, 636, 700, 748, 832, 1070, 1108, 1152, 1250, 1564, 1614, 1636, 1644, 1686, 1710, 1738, 1846, 1862, 1878, 1924, 2010, 2060, 2062, 2156, 2182, 2376, 2490, 2530, 2748, 2754, 2774, 2824, 2826, 2834, 2860, 2896, 2902

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

OFFSET

1,1

LINKS

Zak Seidov, Table of n, a(n) for n = 1..5000

EXAMPLE

60^2 = 3600 = prime(107) + ... + prime(112) = 587 + 593 + 599 + 601 + 607 + 613,

156^2 = 24336 = prime(557) + ... + prime(562) = 4027 + 4049 + 4051 + 4057 + 4073 + 4079.

MATHEMATICA

Select[Sqrt[#]&/@(Total/@Partition[Prime[Range[150000]], 6, 1]), IntegerQ] (* Harvey P. Dale, Aug 02 2021 *)

CROSSREFS

Cf. A051395, A074924, A252066.