## RE: [PrimeNumbers] Re: Twin Primes Waffle

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• ... Yes I did. Jon Perry perry@globalnet.co.uk http://www.users.globalnet.co.uk/~perry/maths BrainBench MVP for HTML and JavaScript http://www.brainbench.com
Message 1 of 3 , Apr 17, 2002
>Well, 10 is representable as kp+10 when k=0 and p=59 or p=61 but I
>guess you mean for k>0.

Yes I did.

Jon Perry
perry@...
http://www.users.globalnet.co.uk/~perry/maths
BrainBench MVP for HTML and JavaScript
http://www.brainbench.com

-----Original Message-----
From: richard_heylen [mailto:richard_heylen@...]
Sent: 17 April 2002 00:01
Subject: [PrimeNumbers] Re: Twin Primes Waffle

--- In primenumbers@y..., "Jon Perry" <perry@g...> wrote:
> Can anyone prove that only using all the primes 5 and above, there
are an
> infinite number of integers not representable by:
>
> kp+/-j, where j is such that p=6j+/-1.
>
> e.g. 10 is not 5k+/-1, or 7k+/-1, or 11k+/-2 or 13k+/-2
>
> whereas 9 is both 5-1 and 11-2.
>
> 10 not being present implies that 59 and 61 are twin primes.

Well, 10 is representable as kp+10 when k=0 and p=59 or p=61 but I
guess you mean for k>0.
As for whether there are an infinite number of non-representable
integers, it is indeed equivalent to the twin primes conjecture as
you suggest.

Richard

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