A188583 Primes p such that 6*p^3+1 is also prime.
3, 5, 13, 41, 97, 131, 223, 283, 353, 397, 461, 467, 523, 577, 661, 677, 691, 773, 811, 887, 937, 997, 1091, 1223, 1277, 1321, 1447, 1487, 1567, 1571, 1637, 1721, 1741, 1777, 1823, 1861, 2161, 2243, 2273, 2341, 2351, 2357, 2371, 2383, 2467, 2551
Offset: 1
Keywords
Examples
For prime p = 283, 6*p^3+1 = 135991123 is prime.
Links
- Bruno Berselli, Table of n, a(n) for n = 1..900
Programs
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Magma
[ p: p in PrimesUpTo(2600) | IsPrime(6*p^3+1) ];
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Mathematica
Select[Prime[Range[500]],PrimeQ[6#^3+1]&] (* Harvey P. Dale, May 13 2011 *)