A298223 The first of three consecutive primes the sum of which is equal to the sum of three consecutive squares.

1511, 5923, 6553, 9791, 11003, 14153, 14633, 15121, 22787, 29231, 36473, 61991, 62987, 68111, 89393, 116273, 137633, 167267, 212501, 233279, 292673, 316957, 426401, 455603, 579113, 603719, 717397, 819017, 938953, 1018057, 1022113, 1292737, 1399477, 1510427

Offset: 1

Author

Colin Barker, Jan 15 2018

Keywords

• nonn

Examples

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

Links

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

Crossrefs

Cf. A000040, A000290, A054643, A298073, A298168, A298169, A298222.

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, p))); Vec(L)