Re: Brun +
- --- In firstname.lastname@example.org, "John W. Nicholson" <johnw.
> Brun found that the sum of 1/twins is a constant. I am guessing thatis
> cousins and sexies sums are simular in that they have constants too.
> What I am wondering is if the 1/(sum of twins, cousins, and sexies)
> a constant?If the three separate sums converge, then the sum of all three will
> If it is a constant, at what time does the of addition ofDifficult to tell. Removing every n'th prime would still leave a
> more terms, as to approach of the sum 1/(all primes), does the sum
> become divergent? Maybe if a constant number of primes are removed
> from the sum of pries, say every fifth prime or primeth prime?
divergent sequence. Removing every prime'th prime? Would still
diverge, since it's a more dense sequence than removing every n'th
> How about instead of the twins themselves the sums of the firstprimes
> prior and after the twin? Like (1/2+1/7) + (1/3+1/11) + (1/7+1/17) +Would still converge, since pretty much identical to the prime twin