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 1-5 of 5 results.

A301641 Primes of form 4*k^k + 1.

Original entry on oeis.org

5, 17, 109, 3294173, 355271367880050092935562133789062501
Offset: 1

Views

Author

Seiichi Manyama, Mar 25 2018

Keywords

Comments

No additional terms through k=1000. - Harvey P. Dale, Oct 06 2023

Crossrefs

Primes of form b*k^k + 1: A121270 (b=1), A216148 (b=2), A301644 (b=3), this sequence (b=4), A301642 (b=16).
Cf. A301519, A301808.

Programs

  • Maple
    a:=k->`if`(isprime(4*k^k+1),4*k^k+1,NULL): seq(a(k),k=1..1400); # Muniru A Asiru, Mar 25 2018
  • Mathematica
    Select[Table[4n^n+1,{n,30}],PrimeQ] (* Harvey P. Dale, Oct 06 2023 *)

Formula

a(n) = 4*A301519(n+1)^A301519(n+1) + 1.

A301870 Primes of form 4*k^k - 3.

Original entry on oeis.org

13, 1021, 12497, 3294169, 1365711509456878229586586894333
Offset: 1

Views

Author

Seiichi Manyama, Mar 28 2018

Keywords

Comments

The next term is too large to include.

Crossrefs

Cf. A301521, A301641, A301808.

Formula

a(n) = 4*A301521(n)^A301521(n) - 3.

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.

A301811 Primes of form 3*k^k + 2.

Original entry on oeis.org

5, 83, 9377, 2470631
Offset: 1

Views

Author

Seiichi Manyama, Mar 27 2018

Keywords

Comments

The next term is too large to include.
This sequence is different from A216146.

Crossrefs

Primes of form b*k^k + b - 1: A216148 (b=2), this sequence (b=3), A301808 (b=4).
Cf. A160360, A301644.

Formula

a(n) = 3*A160360(n+1)^A160360(n+1) + 2.

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 1-5 of 5 results.

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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