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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A107058 a(n) = smallest number m>0 such that prime(n)*prime(n+1)-m is a prime.

Original entry on oeis.org

1, 2, 4, 4, 4, 10, 6, 4, 6, 12, 18, 6, 4, 4, 14, 6, 6, 8, 6, 4, 18, 4, 18, 4, 6, 4, 18, 6, 16, 4, 4, 8, 6, 4, 16, 18, 2, 10, 12, 18, 18, 22, 6, 10, 4, 6, 2, 22, 6, 4, 6, 6, 34, 8, 2, 18, 6, 26, 24, 30, 6, 12, 6, 16, 30, 10, 8, 6, 22, 6, 8, 4, 2, 8, 18, 26, 10, 4, 12, 30, 10, 12, 4, 24, 6, 6, 6
Offset: 1

Views

Author

Zak Seidov, May 10 2005

Keywords

Comments

a(n) is even for n > 1. - Seiichi Manyama, Mar 17 2025

Crossrefs

Cf. A107059: records in A107058; A106172: positions of records in A107058. Cf. A074928: a(n)>0 such that p(n)*p(n+1)+a(n) is a smallest prime.

Programs

  • PARI
    a(n) = { my(m=0, v = prime(n)*prime(n+1)); while (! isprime(v-m), m++;); return (m);} \\ Michel Marcus, Apr 19 2013

A107059 Records in A107058.

Original entry on oeis.org

1, 2, 4, 10, 12, 18, 22, 34, 36, 40, 48, 50, 76, 84, 86, 112
Offset: 1

Views

Author

Zak Seidov, May 10 2005

Keywords

Crossrefs

Cf. A106172: positions of records in A107058.
Showing 1-2 of 2 results.