A087190 Numbers n such that n^4-(n+1)^3 is prime.

3, 4, 5, 6, 7, 10, 12, 16, 17, 19, 25, 26, 28, 39, 55, 56, 58, 62, 67, 72, 75, 87, 91, 95, 96, 97, 102, 111, 114, 115, 116, 124, 126, 128, 132, 137, 152, 160, 161, 172, 181, 182, 184, 191, 198, 201, 205, 208, 209, 213, 214, 217, 220, 223, 227, 235, 237, 247, 248, 250

Offset: 1

Author

Hugo Pfoertner, Aug 23 2003

Keywords

• nonn
• easy

Examples

			a(1)=3 because 3^4-(3+1)^3=81-64=17 is prime.
		

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..5000

Crossrefs

Cf. A087191 primes of the form n^4-(n+1)^3.

Programs

Magma

[n: n in [3..300]| IsPrime(n^4-(n+1)^3)]; // Vincenzo Librandi, Jul 16 2012

Mathematica

lst={};Do[If[PrimeQ[n^4-(n+1)^3],AppendTo[lst,n]],{n,3,1000}];lst (* Vincenzo Librandi, Jul 16 2012 *)

PARI

is(n)=isprime(n^4-(n+1)^3) \\ Charles R Greathouse IV, Jun 05 2017