A334520 Primes that are the sum of two cubes.

2, 7, 19, 37, 61, 127, 271, 331, 397, 547, 631, 919, 1657, 1801, 1951, 2269, 2437, 2791, 3169, 3571, 4219, 4447, 5167, 5419, 6211, 7057, 7351, 8269, 9241, 10267, 11719, 12097, 13267, 13669, 16651, 19441, 19927, 22447, 23497, 24571, 25117, 26227

Offset: 1

Author

N. J. A. Sloane, May 07 2020

Keywords

• nonn

Comments

Union of 2 and A002407. Believed to be infinite.

Examples

			2 = 1^3 + 1^3.
7 = 2^3 + (-1)^3.
19 = 3^3 + (-2)^3.
		

Links

• Chai Wah Wu, Table of n, a(n) for n = 1..10000
• Andrew Sutherland, Sums of three cubes, Slides of a talk given May 07 2020 on the Number Theory Web.
• Fernando Rodriguez Villegas and Don Zagier, Which primes are sums of two cubes?, CMS Conference Proceedings 15 (1995), pp. 295-306.

Crossrefs

Cf. A002407.

Programs

Mathematica

Union[{2},Select[Table[3n^2+3n+1,{n,93}],PrimeQ]] (* Paul F. Marrero Romero, Oct 21 2024 *)