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A113459 Least number that begins an arithmetic progression of n numbers with the same prime signature. 2

%I #8 Mar 30 2012 17:38:08

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

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

%C Initial terms of arithmetic progressions described in A113460. - _N. J. A. Sloane_, Oct 18 2007

%C Conjecture: For n > 1, a(n) = A007918(n). - _David Wasserman_, Jan 08 2006

%C 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

%H <a href="/index/Pri#primes_AP">Index entries for sequences related to primes in arithmetic progressions</a>

%Y Cf. A005115, A007918, A087309, A113460.

%Y Cf. A113461, A127781, A007917, A061558.

%K hard,more,nonn

%O 1,2

%A _David Wasserman_, Jan 08 2006

%E Edited by _N. J. A. Sloane_, Jul 01 2008 at the suggestion of R. J. Mathar.

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Last modified April 28 13:50 EDT 2024. Contains 372087 sequences. (Running on oeis4.)