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.

A261324 Smallest prime p that starts an n-tuplet of consecutive primes of length A008407(n).

Original entry on oeis.org

2, 3, 5, 3, 5, 7, 11, 11, 7, 5, 5, 11, 11, 11, 11, 7, 13, 13, 13, 29, 29, 7, 7
Offset: 1

Views

Author

Max Alekseyev, Aug 14 2015

Keywords

Comments

In contrast to A065688, n-tuplets here may be singular and give the complete set of residues modulo some prime. For example, for n=4 we have the 4-tuplet: (3,5,7,11) = (3,3+2,3+4,3+8), but there are no other prime 4-tuplets of the form (p,p+2,p+4,p+8), since one of its elements would be divisible by 3.
For any n, a(n) <= n or a(n) = A065688(n).

Crossrefs

Cf. A000040, A008407, A065688, A261323.

Formula

a(n) = A000040(A261323(n)).

A266585 Smallest m such that prime(m) starts a symmetric n-tuple of consecutive primes of the smallest span (=A266676(n)).

Original entry on oeis.org

1, 1, 2, 3, 2136, 3, 788244, 7, 73780392, 6, 57067140928, 1361665032086, 19953429852608, 290660101635794, 74896929428416952, 24660071077535201, 5620182896687887031
Offset: 1

Views

Author

Max Alekseyev, Jan 01 2016

Keywords

Comments

See A266583 for further comments and the relation to A266584.
A000040(a(n)+n-1) - A000040(a(n)) = A266676(n).

Crossrefs

Cf. A055380, A065688, A175309, A266511, A266512, A261323, A261324, A266583, A266584.

Formula

a(n) = A000720(A266583(n)).

Extensions

More terms from Max Alekseyev, Jul 24 2019

A266584 Smallest m such that prime(m) starts a (nonsingular) symmetric n-tuplet of consecutive primes of the smallest span (=A266511(n)).

Original entry on oeis.org

1, 2, 15, 3, 2136, 4, 788244, 7, 73780392, 6, 57067140928, 1361665032086, 19953429852608, 290660101635794, 74896929428416952, 24660071077535201, 5620182896687887031
Offset: 1

Views

Author

Max Alekseyev, Jan 01 2016

Keywords

Comments

See A266583 for further comments and the relation to A266585.
A000040(a(n)+n-1) - A000040(a(n)) = A266511(n).

Crossrefs

Cf. A055380, A065688, A175309, A266511, A266512, A261323, A261324, A266583, A266585.

Formula

a(n) = A000720(A266512(n)).

Extensions

More terms from Max Alekseyev, Jul 24 2019
Showing 1-3 of 3 results.

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement.