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

Author

Hugo Pfoertner, Jun 25 2003

Keywords

• nonn

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

Examples

			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.
		

Links

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

Crossrefs

Cf. A003325, A046388, A001358, A085367.