A338893 Primes of the form k^5-k+1.

31, 241, 1021, 3121, 99991, 248821, 371281, 537811, 1889551, 2476081, 4084081, 28629121, 52521841, 60466141, 79235131, 115856161, 205962931, 229344961, 254803921, 601692001, 844596241, 1934917561, 2373046801, 4984209121, 5904899911, 9039207871, 11592740641

Offset

1,1

Comments

It is not known if there is an infinitude of primes of this form.

Links

Robert Israel, Table of n, a(n) for n = 1..10000

Formula

a(n) = A338897(n)^5 - A338897(n)+1. - Robert Israel, Nov 18 2020

Maple

select(isprime, [seq(k^5-k+1, k=1..1000)]); # Robert Israel, Nov 18 2020

Mathematica

Select[Table[k^5-k+1, {k, 200}], PrimeQ] (* Harvey P. Dale, Oct 31 2021 *)

Crossrefs

For the values of k see A338897.

Sequence in context: A372961 A173832 A272162 * A189923 A059378 A024003

Adjacent sequences: A338890 A338891 A338892 * A338894 A338895 A338896

Keyword

nonn

Author

Eleftherios Argyropoulos, Nov 14 2020

Status

approved