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A188583 Primes p such that 6*p^3+1 is also prime.

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%I A188583 #19 Sep 08 2022 08:45:56
%S A188583 3,5,13,41,97,131,223,283,353,397,461,467,523,577,661,677,691,773,811,
%T A188583 887,937,997,1091,1223,1277,1321,1447,1487,1567,1571,1637,1721,1741,
%U A188583 1777,1823,1861,2161,2243,2273,2341,2351,2357,2371,2383,2467,2551
%N A188583 Primes p such that 6*p^3+1 is also prime.
%H A188583 Bruno Berselli, <a href="/A188583/b188583.txt">Table of n, a(n) for n = 1..900</a>
%e A188583 For prime  p = 283,  6*p^3+1 = 135991123  is prime.
%t A188583 Select[Prime[Range[500]],PrimeQ[6#^3+1]&] (* _Harvey P. Dale_, May 13 2011 *)
%o A188583 (Magma)  [ p: p in PrimesUpTo(2600) | IsPrime(6*p^3+1) ];
%Y A188583 Cf. A052291, A005384; A007693, A153812.
%K A188583 nonn
%O A188583 1,1
%A A188583 _Bruno Berselli_, Apr 22 2011