A099499 Primes of the form A007925(n)=n^(n+1)-(n+1)^n.

17, 162287, 2486784401, 83695120256591, 84721522804414816904952398305908708011513455440403306207160333176150520399

Offset: 1

Author

Hugo Pfoertner, Oct 19 2004

Keywords

• nonn

Comments

The next term a(6)=883^884-884^883 has 2605 decimal digits and is too large to display.

Examples

			a(2)=162287 because A007925(A072179(2))=6^7-7^6=162287 is prime.
		

Crossrefs

Cf. A007925 n^(n+1)-(n+1)^n, A072179 n^(n+1)-(n+1)^n is prime, A099497 n^(n+1)-(n+1)^n is a semiprime, A099498 semiprimes of the form n^(n+1)-(n+1)^n.

Programs

Magma

[a: n in [0..50] | IsPrime(a) where a is n^(n+1)-(n+1)^n ]; // Vincenzo Librandi, Jul 18 2012

Mathematica

Select[Table[n^(n+1)-(n+1)^n,{n,0,1000}],PrimeQ] (* Vincenzo Librandi, Jul 18 2012 *)