- Dear geeks ,

Are there any primes P of any form such that 2*K*P + 1 is never prime for any positive value of K. Or to be specific does there exist any single prime P such that 2*KP + 1 is never prime for all K>0 .Or could you prove its inexistence....? Any light on the issue would be highly praised....

Thanks

Shiv Nandan Singh

IIITAllahabad

http://profile.iiita.ac.in

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[Non-text portions of this message have been removed] - Dear geeks ,

Are there any primes P of any form such that 2*K*P + 1 is never prime for any positive value of K. Or to be specific does there exist any single prime P such that 2*KP + 1 is never prime for all K>0 .Or could you prove its inexistence....? Any light on the issue would be highly praised....

Thanks

Shiv Nandan Singh

IIITAllahabad

http://profile.iiita.ac.in/snsingh_02

---------------------------------

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[Non-text portions of this message have been removed] - Dear idiot,

2KP+1 is an arithmetic progression whose elements have no common factor,

and so will always contain infinitely many primes, whatever P is.

Andy

PS Don't take offence to the dear idiot start, but if you're going to

ask for help by saying 'dear geeks', then you can probably expect such a

reply...

PPS See Dirichlet's theorem, in any good number theory book, for more

information.

On Sun, Mar 07, 2004 at 08:00:17AM -0800, Shiv Nandan Singh wrote:

> Dear geeks ,

> Are there any primes P of any form such that 2*K*P + 1 is never prime

> for any positive value of K. Or to be specific does there exist any

> single prime P such that 2*KP + 1 is never prime for all K>0 .Or could

> you prove its inexistence....? Any light on the issue would be highly

> praised....

> Thanks

> Shiv Nandan Singh

> IIITAllahabad

> http://profile.iiita.ac.in - Shiv Nandan Singh wrote:
> Are there any primes P of any form such that 2*K*P + 1 is never prime for

2*P and 1 are relatively prime (whether P is prime or not).

> any positive value of K.

Then Dirichlet's theorem says there are always infinitely many primes.

http://primes.utm.edu/glossary/page.php?sort=DirichletsTheorem

--

Jens Kruse Andersen