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A301641
Primes of form 4*k^k + 1.
5
5, 17, 109, 3294173, 355271367880050092935562133789062501
OFFSET
1,1
COMMENTS
No additional terms through k=1000. - Harvey P. Dale, Oct 06 2023
FORMULA
a(n) = 4*A301519(n+1)^A301519(n+1) + 1.
MAPLE
a:=k->`if`(isprime(4*k^k+1), 4*k^k+1, NULL): seq(a(k), k=1..1400); # Muniru A Asiru, Mar 25 2018
MATHEMATICA
Select[Table[4n^n+1, {n, 30}], PrimeQ] (* Harvey P. Dale, Oct 06 2023 *)
CROSSREFS
Primes of form b*k^k + 1: A121270 (b=1), A216148 (b=2), A301644 (b=3), this sequence (b=4), A301642 (b=16).
Sequence in context: A331636 A234797 A062586 * A067710 A197912 A203114
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Mar 25 2018
STATUS
approved