A231406 Table read by rows, with n-th row the smallest non-constant p-term arithmetic progression of primes beginning with p = prime(n).

2, 3, 3, 5, 7, 5, 11, 17, 23, 29, 7, 157, 307, 457, 607, 757, 907, 11, 1536160091, 3072320171, 4608480251, 6144640331, 7680800411, 9216960491, 10753120571, 12289280651, 13825440731, 15361600811, 13, 9918821194603, 19837642389193, 29756463583783, 39675284778373, 49594105972963, 59512927167553, 69431748362143, 79350569556733, 89269390751323, 99188211945913, 109107033140503, 119025854335093, 17, 341976204789992332577

Offset

1,1

Comments

For comments, references, and links, see the crossrefs.

Links

Jens Kruse Andersen, Table of n, a(n) for n = 1..77

Index entries for sequences related to primes in arithmetic progressions

Formula

T(n,k) = prime(n) + k*A088430(n), 0 <= k < prime(n), n > 0.

Example

Triangle begins:
2 3
3 5 7
5 11 17 23 29
7 157 307 457 607 757 907
11 1536160091 3072320171 4608480251 6144640331 7680800411 9216960491 10753120571 12289280651 13825440731 15361600811

Crossrefs

For common differences see A088430, for initial terms see A000040, for 2nd terms see A231017, for last terms see A113834.

Sequence in context: A113470 A086786 A211890 * A214034 A343224 A047844

Adjacent sequences: A231403 A231404 A231405 * A231407 A231408 A231409

Keyword

hard,nonn,tabf

Author

Jonathan Sondow, Nov 08 2013

Status

approved