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

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.

Sequence in context: A218392 A135199 A112065 * A044392 A044773 A256633

Adjacent sequences: A252015 A252016 A252017 * A252019 A252020 A252021

Keyword

nonn

Author

Zak Seidov, Dec 14 2014

Status

approved