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

%I #39 Apr 23 2013 11:13:45

%S 17,251,2663,3529,5039,8191,12511,13499,24733,29303,29819,29917,31123,

%T 31249,41959,48779,54181,71119,75781,79633,84421,98713,128213,148429,

%U 150209,173267,212239,229769,235171,256033,274301,295903,300889,312931,325153

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

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

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

%H Christian N. K. Anderson, <a href="/A214175/b214175.txt">Table of n, a(n) for n = 1..5000</a>

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

%Y Cf. A024670 (sum of cubes).

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

%K nonn

%O 1,1

%A _Kevin L. Schwartz_ and _Christian N. K. Anderson_, Mar 21 2013

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Last modified July 16 10:27 EDT 2024. Contains 374345 sequences. (Running on oeis4.)