OFFSET
1,1
COMMENTS
For k=1, these are the Fermat primes A019434. Is the set of generalized Fermat primes infinite? Conjecture that there are only a finite number of generalized Fermat primes for each value of k. See A077659, which shows that in cases such as k=11, there appear to be no primes. See A078901 for generalized Fermat numbers.
LINKS
T. D. Noe, Table of n, a(n) for n = 1..525 (terms < 10^14)
Eric Weisstein's World of Mathematics, Generalized Fermat Number
MATHEMATICA
lst3=Select[lst2, PrimeQ[ # ]&] (* lst2 is from A078901 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
T. D. Noe, Dec 12 2002
STATUS
approved