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 1-3 of 3 results.

A302090 Numbers k such that 6*k^k + 5 is prime.

Original entry on oeis.org

0, 1, 2, 3, 6, 7, 134, 533, 2911, 4351
Offset: 1

Views

Author

Seiichi Manyama, Apr 01 2018

Keywords

Comments

a(11) > 50000. - Robert Price, Feb 16 2020

Crossrefs

Numbers k such that b*k^k + b - 1 is prime: A110932 (b=2), A160360 (b=3), A301520 (b=4), A302088 (b=5), this sequence (b=6).
Cf. A302091.

Programs

  • PARI
    for(n=0, 500, if(isprime(6*n^n+5), print1(n", ")))

Extensions

a(8) from Jon E. Schoenfield, Apr 01 2018
a(9)-a(10) from Vaclav Kotesovec, Apr 01 2018

A302124 Primes of form 6*k^k - 5.

Original entry on oeis.org

19, 157, 1531, 4941253, 100663291, 2324522929, 774660240526566167037696179607987213236023100283073
Offset: 1

Views

Author

Seiichi Manyama, Apr 01 2018

Keywords

Comments

The next term is too large to include.
The next term has 297 digits. - Harvey P. Dale, May 24 2021

Crossrefs

Primes of form b*k^k - b + 1: A301870 (b=4), this sequence (b=6).

Programs

  • Mathematica
    Select[Table[6k^k-5,{k,50}],PrimeQ] (* Harvey P. Dale, May 24 2021 *)

Formula

a(n) = 6*A302123(n)^A302123(n) - 5.

A302089 Primes of form 5*k^k + 4.

Original entry on oeis.org

139, 15629, 1937102449
Offset: 1

Views

Author

Seiichi Manyama, Apr 01 2018

Keywords

Comments

The next term is too large to include.

Crossrefs

Primes of form b*k^k + b - 1: A216148 (b=2), A301811 (b=3), A301808 (b=4), this sequence (b=5), A302091 (b=6).
Cf. A302088.

Programs

  • PARI
    lista(nn) = forstep(n=1, nn, 2, if(ispseudoprime(p=5*n^n+4), print1(p, ", "))); \\ Altug Alkan, Apr 01 2018

Formula

a(n) = 5*A302088(n)^A302088(n) + 4.
Showing 1-3 of 3 results.