A214175 Primes of the form x^3 + y^3 + 1, where x and y are primes.

17, 251, 2663, 3529, 5039, 8191, 12511, 13499, 24733, 29303, 29819, 29917, 31123, 31249, 41959, 48779, 54181, 71119, 75781, 79633, 84421, 98713, 128213, 148429, 150209, 173267, 212239, 229769, 235171, 256033, 274301, 295903, 300889, 312931, 325153

Offset: 1

Author

Kevin L. Schwartz and Christian N. K. Anderson, Mar 21 2013

Keywords

• nonn

Comments

Each term in the sequence is in the form p1 = p2^3 + p3^3 + 1, where p1, p2 and p3 are all prime numbers.

There are 190 terms in the sequence < 10^7; a(190) = 137^3 + 193^3 + 1 = 9760411.

Examples

			41959 is in the sequence because 41959 = 23^3 + 31^3 +1, and 41959, 23, and 31 are all prime numbers.
		

Links

• Christian N. K. Anderson, Table of n, a(n) for n = 1..5000

Crossrefs

Cf. A024670 (sum of cubes).

Cf. A217718 (primes one less than the sum of two primes cubed).