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.

A301521 Numbers k such that 4*k^k - 3 is prime.

Original entry on oeis.org

2, 4, 5, 7, 22, 1045
Offset: 1

Views

Author

Seiichi Manyama, Mar 23 2018

Keywords

Comments

Next term, if it exists, is greater than 5000. - Vaclav Kotesovec, Mar 25 2018
Next term, if it exists, is greater than 25000. - Robert Price, Apr 22 2019

Crossrefs

Programs

  • Mathematica
    Select[Range[1000], PrimeQ[4*#^# - 3] &] (* Vaclav Kotesovec, Mar 25 2018 *)
  • PARI
    for(n=0, 100, if(isprime(4*n^n-3), print1(n", ")))

Extensions

a(6) from Vaclav Kotesovec, Mar 25 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.

A302137 Primes of form 10*k^k - 9.

Original entry on oeis.org

31, 2551, 111120068255580151
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), A302135 (b=9), this sequence (b=10).
Cf. A302136.

Formula

a(n) = 10*A302136(n)^A302136(n) - 9.

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.