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

1,1

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.

Links

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

Example

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

Crossrefs

Cf. A024670 (sum of cubes).

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

Sequence in context: A294608 A294810 A362233 * A309856 A201302 A217453

Adjacent sequences: A214172 A214173 A214174 * A214176 A214177 A214178

Keyword

nonn

Author

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

Status

approved