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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A103054 Numbers k such that 7*10^k + 2*R_k + 7 is prime, where R_k = 11...1 is the repunit (A002275) of length k.

Original entry on oeis.org

1, 3, 4, 7, 9, 13, 33, 37, 76, 147, 297, 1851, 3457, 3609, 45219
Offset: 1

Views

Author

Robert G. Wilson v, Jan 19 2005

Keywords

Comments

Also numbers k such that (65*10^k+61)/9 is prime.
a(16) > 10^5. - Robert Price, Oct 01 2015

Crossrefs

Programs

  • Magma
    [n: n in [0..3*10^2]| IsPrime((65*10^n+61) div 9)]; // Vincenzo Librandi, Oct 02 2015
    
  • Mathematica
    Do[ If[ PrimeQ[(65*10^n + 61)/9], Print[n]], {n, 0, 10000}]
    Select[Range[10000], PrimeQ[(65 10^# + 61)/9] &] (* Vincenzo Librandi, Oct 02 2015 *)
  • PARI
    for(n=1, 1e4, if (isprime((65*10^n+61)/9), print1(n", "))) \\ Altug Alkan, Oct 02 2015

Formula

a(n) = A101136(n) + 1.

Extensions

a(15) from Erik Branger May 01 2013 by Ray Chandler, Aug 16 2013
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