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.

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A299383 Numbers k such that k * 20^k - 1 is prime.

Original entry on oeis.org

1, 18, 44, 60, 80, 123, 429, 1166, 2065, 8774, 35340, 42968, 50312, 210129
Offset: 1

Views

Author

Tim Johannes Ohrtmann, Feb 08 2018

Keywords

Comments

a(15) > 400000.

Crossrefs

Numbers n such that n * b^n - 1 is prime: A008864 (b=1), A002234 (b=2), A006553 (b=3), A086661 (b=4), A059676 (b=5), A059675 (b=6), A242200 (b=7), A242201 (b=8), A242202 (b=9), A059671 (b=10), A299374 (b=11), A299375 (b=12), A299376 (b=13), A299377 (b=14), A299378 (b=15), A299379 (b=16), A299380 (b=17), A299381 (b=18), A299382 (b=19), this sequence (b=20).

Programs

  • Magma
    [n: n in [1..10000] |IsPrime(n*20^n-1)];
  • Mathematica
    Select[Range[1, 10000], PrimeQ[n*20^n-1] &]
  • PARI
    for(n=1, 10000, if(isprime(n*20^n-1), print1(n", ")))
    

A242339 Numbers k such that k*8^k-1 is semiprime.

Original entry on oeis.org

3, 6, 9, 13, 21, 24, 32, 45, 61, 62, 73, 132, 150, 174, 187, 217, 266, 331, 534
Offset: 1

Views

Author

Vincenzo Librandi, May 12 2014

Keywords

Comments

The semiprimes of this form are: 1535, 1572863, 1207959551, 7146825580543, 193690812773950291967, 113336795588871485128703, 2535301200456458802993406410751, 1960026433464605549549037738806984897986559, ...

Crossrefs

Cf. similar sequences listed in A242273.

Programs

  • Magma
    IsSemiprime:=func; [n: n in [2..80] | IsSemiprime(s) where s is n*8^n-1];
    
  • Mathematica
    Select[Range[80], PrimeOmega[# 8^# - 1]==2&]
  • PARI
    isok(n)=bigomega(n*8^n-1)==2 /* Anders Hellström, Aug 18 2015 */

Extensions

a(12)-a(19) from Luke March, Aug 14 2015
Previous Showing 11-12 of 12 results.