A122764 Initial terms of arithmetic progression of primes in A005115 with duplicates removed.

2, 3, 5, 7, 199, 110437, 4943, 31385539, 115453391, 53297929, 3430751869, 4808316343, 8297644387, 214861583621, 5749146449311

Offset

1,1

Comments

Old title was: "In A005115 a+b*j: the a term with duplicates removed."

If duplicate terms are not removed, we obtain A113827. - Charlie Neder, Feb 02 2019

Links

Table of n, a(n) for n=1..15.

Ben Green and Terence Tao, The primes contain arbitrarily long arithmetic progressions, Pages 481-547 from Volume 167 (2008), Issue 2.

Example

A005115(7) comes from the 7-term prime progression {7, 157, 307, 457, 607, 757, 907}, and so 7 is in this sequence. - Charlie Neder, Feb 02 2019

Mathematica

a = {{ 1, 2, 2}, {2, 2 + j, 3}, {3, 3 + 2j, 7}, {4, 5 + 6j, 23}, {5, 5 + 6j, 29}, {6, 7 + 30j, 157}, {7, 7 + 150j, 907}, {8, 199 + 210j, 1669}, {9, 199 + 210j, 1879}, {10, 199 + 210j, 2089}, {11, 110437 + 13860j, 249037}, {12, 110437 + 13860j, 262897}}
Union[Table[CoefficientList[a[[n, 2]], j][[1]], {n, 1, 12}]]

Crossrefs

Cf. A093364, A005115.

Sequence in context: A046475 A029978 A360986 * A256886 A195302 A064157

Adjacent sequences: A122761 A122762 A122763 * A122765 A122766 A122767

Keyword

nonn,less

Author

Roger L. Bagula, Sep 22 2006

Extensions

Better name and a(7)-a(15) from Charlie Neder, Feb 02 2019

Status

approved