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