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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A359340 The primes associated with A339174.

Original entry on oeis.org

2, 3, 7, 43, 3613, 65250781, 38318979202732621, 8810065002836730577256726488782121, 6131762382982476362788562753503495060507087787406616806191258317645081
Offset: 1

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Author

Jeppe Stig Nielsen, Dec 27 2022

Keywords

Comments

a(1)=2; for n > 0, a(n+1) is the first prime of the form k*(a(n) - 1)*a(n) + 1. It exists by Dirichlet's theorem on arithmetic progressions.
It is simple to reconstruct a(n) from A339174, which has the more compact representation.

Crossrefs

Cf. A061092, A071580, A339174.

Programs

  • PARI
    p=2; k=1; print1(p, ", "); while(1, runningP=k*(p-1)*p+1; if(ispseudoprime(runningP), k=1; p=runningP; print1(p, ", ") , k++))
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Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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