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

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

Offset

1,2

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

Links

Table of n, a(n) for n=1..11.

Example

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

Mathematica

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

Prog

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

Crossrefs

Cf. A091513, A091514, A093069, A099359.

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

Sequence in context: A075926 A368532 A065660 * A110081 A140716 A141393

Adjacent sequences: A100493 A100494 A100495 * A100497 A100498 A100499

Keyword

more,nonn

Author

Jonathan Vos Post, Nov 23 2004

Extensions

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

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

Status

approved