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A174259 Primes p such that (p^2+3*p-3) and (p^3+3*p^2-3) are also prime. 1

%I

%S 2,5,7,41,131,311,857,1321,1427,1627,1667,1697,1901,2237,2311,2341,

%T 2357,2957,3167,3331,3767,3881,4567,4637,5237,5881,5927,7477,9187,

%U 11197,11701,12037,12421,12491,13367,13627,14081,14447,16111,16477,18047

%N Primes p such that (p^2+3*p-3) and (p^3+3*p^2-3) are also prime.

%H Vincenzo Librandi, <a href="/A174259/b174259.txt">Table of n, a(n) for n = 1..1000</a>

%t Select[Prime[Range[5000]], PrimeQ[#^2 + 3 # - 3] && PrimeQ[#^3 + 3 #^2 - 3]&] (* _Vincenzo Librandi_, Apr 10 2013 *)

%o (MAGMA) [p: p in PrimesUpTo(20000) |IsPrime(p^2+3*p-3)and IsPrime(p^3+3*p^2-3)];

%K nonn,easy

%O 1,1

%A _Vincenzo Librandi_, Mar 14 2010

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Last modified July 30 07:58 EDT 2021. Contains 346348 sequences. (Running on oeis4.)