[seqfan] Re: Arithmetic progressions of numbers with the same prime signature

David Wasserman dwasserm at earthlink.net
Wed May 18 04:13:41 CEST 2011

Yes, my post was related to those comments on A113459. No, I haven't submitted any changes yet. I decided to post to seqfan first so that anyone who's interested can check for errors in my proofs. I wouldn't want to put the proofs in a comment; they seem too long for that.


On May 17, 2011, at 4:26 AM, Alexander P-sky wrote:

> So David - you are tacitly addressing below discussion dated by 2006 -
> 2007 ... - correct ?
> Did you submit any changes to A113459, based on your latest email ?
> ====================================================
>> Conjecture: For n > 1, a(n) = A007918(n). - David Wasserman >(dwasserm(AT)earthlink.net), 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 (njas(AT)research.att.com), Oct 18 2007

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