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

1,1

Links

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

Example

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

Prog

(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)

Crossrefs

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

Sequence in context: A252553 A237725 A200915 * A060676 A230402 A248718

Adjacent sequences: A298220 A298221 A298222 * A298224 A298225 A298226

Keyword

nonn

Author

Colin Barker, Jan 15 2018

Status

approved