A160858 - OEIS

%I #5 May 20 2018 17:45:51

%S 2,3,13,541,859,1279,1459,1951,2239,2971,3181,4003,4129,6343,7393,

%T 8053,9043,9463,10501,10831,12433,14083,14731,15073,15991,16603,17443,

%U 17491,17761,18493,19861,20173,20323,20929,21391,22963,23071

%N Primes p such that p^3-p^2-1 and p^3-p^2+1 are prime

%H Harvey P. Dale, <a href="/A160858/b160858.txt">Table of n, a(n) for n = 1..1000</a>

%e 3^3-3^2=27-9=18-+1=primes

%t lst={};Do[p=Prime[n];a=p^2;b=p^3;c=b-a;If[PrimeQ[c-1]&&PrimeQ[c+1],AppendTo[lst,p]],{n,2*7!}];lst

%t Select[Prime[Range[3000]],AllTrue[#^3-#^2+{1,-1},PrimeQ]&] (* The program uses the AllTrue function from Mathematica version 10 *) (* _Harvey P. Dale_, May 20 2018 *)

%o (PARI) forprime(p=2,1e6,if(isprime(p^3-p^2-1)&&isprime(p^3-p^2+1),print1(p",")))

%Y Subset of A045331.

%K nonn

%O 1,1

%A _Vladimir Joseph Stephan Orlovsky_, May 29 2009

%E Program, cross-reference, and editing by _Charles R Greathouse IV_, Nov 02 2009