A100496 Numbers n such that (2^n+1)^4-2 is prime.

1, 7, 25, 31, 34, 271, 514, 2896, 8827, 16816, 37933

Offset: 1

Author

Jonathan Vos Post, Nov 23 2004

Keywords

• more
• nonn

Comments

Some of the results were computed using the PrimeFormGW (PFGW) primality-testing program. - Hugo Pfoertner, Nov 14 2019

a(12) > 60000. - Tyler Busby, Feb 12 2023

Examples

			a(1) = 1 because (2^1+1)^4 - 2 = 79 is prime and is the first such prime.
		

Crossrefs

Cf. A091513, A091514, A093069, A099359.

Cf. A100497, n such that (2^n+1)^4-2 is semiprime.

Programs

Mathematica

Select[Range[5000], PrimeQ[(2^# + 1)^4 - 2] &]

PARI

is(n)=ispseudoprime((2^n+1)^4-2) \\ Charles R Greathouse IV, Jun 13 2017

Extensions

Edited, corrected and extended by Ray Chandler and Hugo Pfoertner, Nov 26 2004

a(10)-a(11) from Tyler Busby, Feb 12 2023