cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-2 of 2 results.

A302091 Primes of form 6*k^k + 5.

Original entry on oeis.org

11, 29, 167, 279941, 4941263
Offset: 1

Views

Author

Seiichi Manyama, Apr 01 2018

Keywords

Comments

The next term is too large to include.
The next term has 286 digits. - Harvey P. Dale, Oct 24 2021

Crossrefs

Primes of form b*k^k + b - 1: A216148 (b=2), A301811 (b=3), A301808 (b=4), A302089 (b=5), this sequence (b=6).
Cf. A302090.

Programs

  • Mathematica
    Select[Table[6 n^n + 5, {n, 20}], PrimeQ] (* Harvey P. Dale, Oct 24 2021 *)

Formula

a(n) = 6*A302090(n+1)^A302090(n+1) + 5.

A302088 Numbers k such that 5*k^k + 4 is prime.

Original entry on oeis.org

3, 5, 9, 183, 561
Offset: 1

Views

Author

Seiichi Manyama, Apr 01 2018

Keywords

Comments

a(6), if it exists, is greater than 5000. - Vaclav Kotesovec, Apr 01 2018
a(6), if it exists, is greater than 20000. - Michael S. Branicky, Sep 02 2024

Crossrefs

Numbers k such that b*k^k + b - 1 is prime: A110932 (b=2), A160360 (b=3), A301520 (b=4), this sequence (b=5), A302090 (b=6).
Cf. A302089.

Programs

  • Mathematica
    Select[Range[1, 1000], PrimeQ[5*#^# + 4] &] (* Vaclav Kotesovec, Apr 01 2018 *)
  • PARI
    for(n=0, 500, if(isprime(5*n^n+4), print1(n", ")))
    
  • PARI
    lista(nn) = forstep(n=1, nn, 2, if(ispseudoprime(5*n^n+4), print1(n, ", "))); \\ Altug Alkan, Apr 01 2018

Extensions

a(5) from Vaclav Kotesovec, Apr 01 2018
Showing 1-2 of 2 results.