A085366 Semiprimes that are the sum of two positive cubes. Common terms of A003325 and A046315.

9, 35, 65, 91, 133, 217, 341, 407, 559, 737, 793, 1027, 1241, 1339, 1343, 1843, 1853, 2071, 2413, 2771, 2869, 3197, 3383, 3439, 3473, 4097, 4439, 5129, 5833, 6119, 6641, 7471, 7859, 8027, 8587, 9773, 10261, 10649, 10991, 11377, 12679, 12913, 14023

Offset

1,1

Comments

Sum of two positive cubes x^3 + y^3 such that both x+y and x^2 - x*y + y^2 are primes.

The only square is 9. Also, all terms have a unique representation as a sum of two distinct positive cubes. - Zak Seidov, Jun 02 2011

Links

Zak Seidov, Table of n, a(n) for n = 1..1356

Example

a(2) = 35 because 3^3 + 2^3 = 5*7.
a(5) = 133 = 5^3 + 2^3 = (5+2)*(5^2 - 5*2 + 2^2) = 7*19.

Crossrefs

Cf. A003325, A046388, A001358, A085367.

Sequence in context: A338010 A267702 A339995 * A304913 A173245 A033566

Adjacent sequences: A085363 A085364 A085365 * A085367 A085368 A085369

Keyword

nonn

Author

Hugo Pfoertner, Jun 25 2003

Status

approved