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 1-3 of 3 results.

A214786 Union of A214784 and A214785.

Original entry on oeis.org

7, 11, 13, 17, 19, 31, 53, 67, 71, 79, 97, 137, 157, 167, 179, 191, 193, 227, 239, 251, 257, 293, 311, 313, 317, 379, 383, 397, 419, 431, 439, 457, 463, 479, 491, 499, 503, 547, 571, 577, 587, 593, 631, 643, 653, 659, 673
Offset: 1

Views

Author

Art DuPre, Aug 03 2012

Keywords

Comments

The sequences A214784 and A214785 are disjoint and this is their union. It is only a conjecture that these are all primes.

Crossrefs

A214789 a(n) is the smallest k>=2 such that n divides A000045(k-1)+8.

Original entry on oeis.org

2, 4, 2, 7, 4, 10, 8, 7, 2, 4, 5, 19, 6, 10, 18, 7, 25, 19, 13, 37, 8, 25, 31, 19, 38, 34, 19, 31, 9, 58, 25, 19, 35, 25, 15, 19, 45, 13, 24, 37, 27, 10, 30, 25, 24, 31, 23, 19, 24, 64, 67, 49, 61, 19, 15, 31, 67, 37, 20
Offset: 1

Views

Author

Art DuPre, Aug 03 2012

Keywords

Crossrefs

Programs

Extensions

Definition corrected. - R. J. Mathar, Aug 09 2012

A214785 Numbers k such that k + 6 = A214783(k).

Original entry on oeis.org

7, 13, 17, 53, 67, 97, 137, 157, 167, 193, 227, 257, 293, 313, 317, 383, 397, 457, 463, 503, 547, 577, 587, 593, 643, 653, 673, 683, 727, 757, 773, 823, 827, 883, 887, 937, 997, 1013, 1063, 1093, 1163, 1213, 1237
Offset: 1

Views

Author

Art DuPre, Aug 03 2012

Keywords

Comments

This set is disjoint from A213784. Conjecture: all terms are prime.

Crossrefs

Programs

  • Maple
    f:= proc(n) local a,b,t,T,k;
      b:= 0; a:= 1; T:= -3 mod n;
      for k from 1 do
        t:= a+b mod n;
        if t = T then return k+1 fi;
        a:= b; b:= t;
      od
    end proc:
    f(1):= 1: f(3):= 1:
    select(n -> f(n) = n+6, [$1..2000]); # Robert Israel, Jun 08 2023
Showing 1-3 of 3 results.