OFFSET
1,1
COMMENTS
Conjecture: there are infinitely many such primes.
a(12) > 10000. - Donovan Johnson, Aug 31 2010
EXAMPLE
2*(2*2)^2 - 1 = 31 is prime, so 2 is a term;
3^(2*3)^2 - 1 = 107 is prime, so 3 is a term.
MATHEMATICA
Do[cp=n*(2*n)^n-1; If[PrimeQ[cp], Print[n]], {n, 1, 2000}] (* generates the first 10 terms *)
PROG
(PARI) is(n)=ispseudoprime(n*(2*n)^n-1) \\ Charles R Greathouse IV, Jun 17 2013
CROSSREFS
KEYWORD
hard,nice,nonn,more
AUTHOR
Lei Zhou, Feb 25 2009
EXTENSIONS
a(11) from Donovan Johnson, Aug 31 2010
a(12) from Michael S. Branicky, Aug 31 2024
STATUS
approved