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A206279

Smallest of three consecutive primes whose sum is a square.

13, 37, 277, 313, 613, 7591, 8209, 12157, 14557, 15679, 16267, 23053, 32233, 42953, 44887, 55213, 81013, 94687, 105649, 106397, 135241, 203317, 221401, 225769, 235747, 245941, 258707, 287671, 306541, 331333, 342049, 346111, 347443, 393853, 479191, 488827

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OFFSET

1,1

LINKS

Charles R Greathouse IV, Table of n, a(n) for n = 1..10000

FORMULA

a(n) = A000040(A076305(n)). - Zak Seidov, Apr 07 2017

EXAMPLE

a(4) = 313. The next two primes are 317 and 331, and 313 + 317 + 331 = 961 = 31^2.

MATHEMATICA

Transpose[Select[Partition[Prime[Range[50000]], 3, 1], IntegerQ[ Sqrt[ Total[#]]]&]][[1]]

PROG