A298222 The first of three consecutive squares the sum of which is equal to the sum of three consecutive primes.

1444, 5776, 6400, 9604, 10816, 13924, 14400, 14884, 22500, 28900, 36100, 61504, 62500, 67600, 88804, 115600, 136900, 166464, 211600, 232324, 291600, 315844, 425104, 454276, 577600, 602176, 715716, 817216, 937024, 1016064, 1020100, 1290496, 1397124, 1507984

Offset: 1

Author

Colin Barker, Jan 15 2018

Keywords

• nonn

Examples

			1444 is in the sequence because 1444+1521+1600 (consecutive squares) = 4565 = 1511+1523+1531 (consecutive primes).
		

Links

• Colin Barker, Table of n, a(n) for n = 1..100

Crossrefs

Cf. A000040, A000290, A054643, A298073, A298168, A298169, A298223.

Programs

PARI

L=List(); forprime(p=2, 400000, q=nextprime(p+1); r=nextprime(q+1); t=p+q+r; if(issquare(12*t-24, &sq) && (sq-6)%6==0, u=(sq-6)\6; listput(L, u^2))); Vec(L)