Sum of prime rereciprocals?

David W. Wilson wilson.d at anseri.com
Tue Apr 15 14:45:49 CEST 2008


> -----Original Message-----
> From: David W. Cantrell [mailto:DWCantrell at sigmaxi.net]
> Sent: Monday, April 14, 2008 10:15 AM
> To: David W. Wilson; seqfan at ext.jussieu.fr
> Subject: Re: Sum of prime rereciprocals?
> 
> Yes, it's interesting. But except for the first term, all the terms of
> your sequence are simply
> 1 more than those of

Not hard to prove, or at least argue. I did not intend to submit anyway.

I could argue that my sequence is qualitatively superior, since b(n) = [en]
once in a while, but it's not worth submitting on that count.

The interesting thing is the sequence {n: a(n)+1 = [en]}.  Is there an
explanation for 4, 7 and 11 being the only observed differences?







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