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 1-4 of 4 results.

A302136 Numbers k such that 10*k^k - 9 is prime.

Original entry on oeis.org

2, 4, 14, 80, 1133, 4120
Offset: 1

Views

Author

Seiichi Manyama, Apr 02 2018

Keywords

Comments

10*1133^1133 - 9 is a probable prime.
a(6) > 3000. - Tyler NeSmith, May 15 2021
a(7) > 20000. - Michael S. Branicky, Nov 29 2024

Crossrefs

Numbers k such that b*k^k - b + 1 is prime: A110931 (b=2), A302132 (b=3), A301521 (b=4), A302123 (b=6), A302133 (b=8), A302134 (b=9), this sequence (b=10).
Cf. A302137.

Programs

  • PARI
    isok(k) = ispseudoprime(10*k^k - 9); \\ Altug Alkan, Apr 02 2018

Extensions

a(6) from Michael S. Branicky, Mar 28 2023

A302132 Numbers k such that 3*k^k - 2 is prime.

Original entry on oeis.org

3, 1571, 2601
Offset: 1

Views

Author

Seiichi Manyama, Apr 02 2018

Keywords

Comments

The terms greater than or equal to 1571 correspond to probable primes.
a(4) > 25000, if it exists. - Michael S. Branicky, Sep 02 2024

Crossrefs

Numbers k such that b*k^k - b + 1 is prime: A110931 (b=2), this sequence (b=3), A301521 (b=4), A302123 (b=6), A302133 (b=8), A302134 (b=9), A302136 (b=10).

Programs

  • PARI
    isok(k) = ispseudoprime(3*k^k - 2); \\ Altug Alkan, Apr 02 2018

A302133 Numbers k such that 8*k^k - 7 is prime.

Original entry on oeis.org

10, 800, 1266, 1395
Offset: 1

Views

Author

Seiichi Manyama, Apr 02 2018

Keywords

Comments

The terms greater than or equal to 800 correspond to probable primes.
a(5) > 4000. - Tyler NeSmith, May 13 2021
a(5) > 20000. - Michael S. Branicky, Sep 02 2024

Crossrefs

Numbers k such that b*k^k - b + 1 is prime: A110931 (b=2), A302132 (b=3), A301521 (b=4), A302123 (b=6), this sequence (b=8), A302134 (b=9), A302136 (b=10).

Programs

  • PARI
    isok(k) = ispseudoprime(8*k^k - 7); \\ Altug Alkan, Apr 02 2018

A302135 Primes of form 9*k^k - 8.

Original entry on oeis.org

7411879, 3486784393, 2567805035491
Offset: 1

Views

Author

Seiichi Manyama, Apr 02 2018

Keywords

Comments

The next term is too large to include.

Crossrefs

Primes of form b*k^k - b + 1: A301870 (b=4), A302124 (b=6), this sequence (b=9), A302137 (b=10).
Cf. A302134.

Formula

a(n) = 9*A302134(n)^A302134(n) - 8.
Showing 1-4 of 4 results.