A100496 - OEIS

A100496

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

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

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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

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

KEYWORD

more,nonn

AUTHOR

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