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

Author

Zak Seidov, Dec 14 2014

Keywords

• nonn

Examples

			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.
		

Links

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

Crossrefs

Cf. A051395, A074924, A252066.

Programs

Mathematica

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