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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A376002 Positions of records in A032662.

Original entry on oeis.org

1, 3, 5, 22, 84, 99, 511, 803, 9999, 18887, 1378751, 103974046
Offset: 1

Views

Author

Robert Israel, Sep 05 2024

Keywords

Comments

Numbers k such that the first j for which the concatenation j || j+k is prime is greater than for any previous k.
In order for j || j+k to be prime where j+k has d digits, k and 10^d+1 must be coprime.

Examples

			a(5) = 84 because A032662(84) = 929 which is greater than A032662(k) for all k < 84.
		

Crossrefs

Programs

  • Maple
    tcat:= (a,b) -> a*10^(1+ilog10(b))+b:
    f:= proc(n) local k,k0,d;
      for d from ilog10(n)+1 do
        if igcd(10^d+1,n) = 1 then
          k0:= max(1,10^(d-1)-n);
          if (k0+n)::even then k0:= k0+1 fi;
          for k from k0 to 10^d-n-1 by 2 do
            if isprime(tcat(k,k+n)) then return k fi
       od fi od
    end proc:
    R:= NULL: m:= 0: count:= 0:
    for i from 1 while count < 11 do
      v:= f(i);
      if v > m then
        count:= count+1; m:= v; R:= R,i;
      fi;
    od:
    R;
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