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April 23rd, 2010, 09:52 AM   #1
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Twin prime conjecture(help)

let n=2*p1*p2*......*pi+1 and m=2*p1*p2*......*pi-1 where pj's for j=1,2,......,i are consecutive odd primes.Twin integers of this form are relatively prime "(m,n)=1" examples (5,7),(29,31),(199,211).................Are there infinitely twin primes of this form?Help.A solution approving this is a solution to twin prime conjector.
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April 23rd, 2010, 11:52 AM   #2
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Re: Twin prime conjecture(help)

Hello ogajajames,

As far as I know, existence infinite twin primes isnīt proven yet. See Polignac's conjecture, Why did you post the topic twice?

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April 23rd, 2010, 12:11 PM   #3
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Re: Twin prime conjecture(help)

Quote:
Originally Posted by ogajajames
let n=2*p1*p2*......*pi+1 and m=2*p1*p2*......*pi-1 where pj's for j=1,2,......,i are consecutive odd primes.Twin integers of this form are relatively prime "(m,n)=1" examples (5,7),(29,31),(199,211).................Are there infinitely twin primes of this form?
Probably not, see Sloane's A088256. But even if there were, this would surely be much harder to prove than the twin prime conjecture.
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April 26th, 2010, 04:02 AM   #4
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Re: Twin prime conjecture(help)

I thought knowing the formation of such numbers could make it a bit easier to proof.Truly it's more harder,I have seen.polignac's conjecture is more interesting I did'nt know about it.My posting of the same message twice was a mistake which I don't wish to repeat,sorry.Thank you.
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April 26th, 2010, 05:51 AM   #5
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Re: Twin prime conjecture(help)

It's good that you're thinking about it, and even better that you can back off from an idea that doesn't work. Good luck!
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