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Numbers n such that n^5-2 is prime.
9

%I #13 Sep 08 2022 08:45:40

%S 3,13,31,63,93,139,181,211,229,265,271,303,325,339,343,345,411,441,

%T 519,523,531,549,555,573,619,663,675,681,693,741,751,805,819,835,853,

%U 861,945,951,969,975,993,1063,1071,1095,1119,1143,1275,1281,1305,1329

%N Numbers n such that n^5-2 is prime.

%C 3^5-2=241 prime, 13^5-2=371291 prime,...

%H Vincenzo Librandi, <a href="/A154833/b154833.txt">Table of n, a(n) for n = 1..1000</a>

%t lst={};Do[p=n^5-2;If[PrimeQ[p],AppendTo[lst,n]],{n,0,7!}];lst

%t Select[Range[2 10^3], PrimeQ[#^5 - 2] &] (* _Vincenzo Librandi_, Mar 20 2014 *)

%o (Magma) [n: n in [1..500] | IsPrime(n^5-2)]; // _Vincenzo Librandi_, Nov 26 2010

%o (PARI) is(n)=isprime(n^5-2) \\ _Charles R Greathouse IV_, Feb 17 2017

%Y Cf. A028870, A038599, A154831, A154832.

%K nonn,easy

%O 1,1

%A _Vladimir Joseph Stephan Orlovsky_, Jan 15 2009