A145767 Numbers n such that n^2 = p^3 + q^3, p, q primes (p<=q).

4, 228, 812340, 4935504, 13608420, 14218512, 25354032, 29463060, 48880608, 135516108, 194057640, 223078944, 412662012, 763311948, 764539380, 1409359200, 1998370272, 3408412644, 5397667572, 7650577620, 8224333236, 9401817516

Offset

1,1

Comments

a(23) > 10^10. [From Donovan Johnson, Nov 18 2009]

Links

Table of n, a(n) for n=1..22.

Formula

n^2=p^3+q^3, p, q primes (p<=q).

Example

Corresponding values of p and q (p <= q) are: 2, 11, 2137, 8929, 1801, 44111, 6637, 57241, 16931, 151477, 54083, 3889; 2, 37, 8663, 28703, 56999, 48817, 86291, 87959, 133597, 246011, 334717, 367823.

Prog

(PARI) {n1 = 40000; for(ia= 1, n1, a3 = prime(ia)^3; for ( ib= ia, n1, b3 = prime(ib)^3; c = a3 + b3; if(issquare(c), print([c, a3, b3]))))}

Crossrefs

Cf. A086119 Numbers of the form p^3 + q^3, p, q primes.

Cf. A145797, A145798. [From Donovan Johnson, Nov 18 2009]

Sequence in context: A159281 A290346 A113255 * A206352 A024057 A281614

Adjacent sequences: A145764 A145765 A145766 * A145768 A145769 A145770

Keyword

nonn

Author

Zak Seidov, Oct 18 2008

Extensions

a(13)-a(22) from Donovan Johnson, Nov 18 2009

Status

approved