A113459 Least number that begins an arithmetic progression of n numbers with the same prime signature.

1, 2, 3, 5, 5, 7, 7, 11, 11, 11, 11, 13

Offset: 1

Author

David Wasserman, Jan 08 2006

Keywords

• hard
• more
• nonn

Comments

Initial terms of arithmetic progressions described in A113460. - N. J. A. Sloane, Oct 18 2007

Conjecture: For n > 1, a(n) = A007918(n). - David Wasserman, Jan 08 2006

I disagree with that conjecture! Ignoring the initial terms, this will agree with A007918 up to some point and then (presumably) drop below A007918. The initial term in the arithmetic progression (of length n) must be >= n, but it is likely to be less than A007918(n) if n is large. - N. J. A. Sloane, Oct 18 2007

Links

• Index entries for sequences related to primes in arithmetic progressions

Crossrefs

Cf. A005115, A007918, A087309, A113460.

Cf. A113461, A127781, A007917, A061558.

Extensions

Edited by N. J. A. Sloane, Jul 01 2008 at the suggestion of R. J. Mathar.