A364698 Numbers k such that k! + k^2 + k - 1 is prime.

1, 2, 3, 4, 5, 6, 9, 11, 13, 1045

Offset

1,2

Comments

a(11) > 10^4, if it exists. - Amiram Eldar, Aug 05 2023

a(11) > 2*10^4, if it exists. - Michael S. Branicky, Jul 05 2024

Links

Table of n, a(n) for n=1..10.

Example

For k = 2, 2! + 2^2 + 2 - 1 = 7 is a prime.

Mathematica

Select[Range[1100], PrimeQ[#! + #^2 + # - 1] &] (* Amiram Eldar, Aug 03 2023 *)

Prog

(PARI) for (k=1, 10^3, if(ispseudoprime(k! + k^2 + k - 1), print1(k, ", ")))

Crossrefs

Cf. A066143, A079649.

Sequence in context: A252484 A036023 A119952 * A102571 A251241 A064278

Adjacent sequences: A364695 A364696 A364697 * A364699 A364700 A364701

Keyword

nonn,more

Author

Saish S. Kambali, Aug 03 2023

Extensions

a(10) from Amiram Eldar, Aug 03 2023

Status

approved