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A231406
Table read by rows, with n-th row the smallest non-constant p-term arithmetic progression of primes beginning with p = prime(n).
4
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.
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
KEYWORD
hard,nonn,tabf
AUTHOR
Jonathan Sondow, Nov 08 2013
STATUS
approved