A061558 The smallest difference of an increasing arithmetic progression of n primes with the minimal possible first term (A007918(n)).

0, 1, 2, 6, 6, 30, 150, 1210230, 32671170, 224494620, 1536160080, 1482708889200, 9918821194590, 266029822978920, 266029822978920, 11358256064006271420, 341976204789992332560, 128642760444772214170530, 2166703103992332274919550

Offset

1,3

Comments

Apart from the initial term, does this sequence coincide with A113461? - N. J. A. Sloane, Sep 22 2007

Links

Table of n, a(n) for n=1..19.

Jens Kruse Andersen, Records for primes in arithmetic progression

Jaroslaw Wroblewski, Re: AP19 starting with 19, Yahoo group "primenumbers", Apr 10 2013.

Jaroslaw Wroblewski, Mike Oakes, Jens Kruse Andersen, AP19 starting with 19, digest of 6 messages in primenumbers Yahoo group, Feb 25 - Apr 10, 2013.

Index entries for sequences related to primes in arithmetic progressions

Example

For n = 10, the smallest difference a(10) = 224494620 with the first term 11 (= A007918(10)) producing an arithmetic progression of 10 primes.

Crossrefs

Cf. A007918 (initial terms), A120302 (last terms), A130791 (triangle).

Sequence in context: A033188 A093364 A113461 * A123144 A179215 A069260

Adjacent sequences: A061555 A061556 A061557 * A061559 A061560 A061561

Keyword

nonn,hard

Author

Gennady Gusev, May 17, 2001

Extensions

a(16) and a(17) from P. Carmody. - Gennady Gusev, Oct 07 2005

a(0) deleted by N. J. A. Sloane, Sep 22 2007

a(18) from Gennady Gusev, Oct 31 2012

a(19) from Wojciech Izykowski, Apr 11 2013

Status

approved