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A252018 Numbers n such that n^2 is a sum of 6 consecutive primes. 4
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.

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

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Last modified May 22 11:02 EDT 2022. Contains 353949 sequences. (Running on oeis4.)