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

Author

Gennady Gusev, May 17 2001

Keywords

• nonn
• hard

Comments

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

Examples

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

Links

• 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

Crossrefs

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

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