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Topic: First Proof That Infinitely Many Prime Numbers Come in Pairs
Replies: 30   Last Post: May 28, 2013 6:01 AM

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 Peter Percival Posts: 2,623 Registered: 10/25/10
Re: First Proof That Infinitely Many Prime Numbers Come in Pairs
Posted: May 23, 2013 8:47 AM

joshipura@gmail.com wrote:
> I am not a mathematician - but can understand prime numbers, and even the hypothesis under discussion.
>
>
> "For years mathematicians are struggling to prove that they will always find larger and larger cases of p where p and p+2 both are primes.
>
> Someone recently proved that
> if p is a prime number, within p + 70,000,000 there is another prime number q, no matter how large p is.

There is a theorem that there is no upper limit on the number of
consecutive composites. Suppose you want at least n-1, (n >= 2)
consecutive composites, consider

n! + 2, n! + 3, n! + 4, ..., n! + n.

> So, now mathematicians will work on finding what types of p's this 70 million is negotiable to smaller numbers, eventually going down to 2."
>
> Is my understanding correct?
>

--
I think I am an Elephant,
Behind another Elephant
Behind /another/ Elephant who isn't really there....
A .A. Milne

Date Subject Author
5/16/13 Sam Wormley
5/16/13 Pubkeybreaker
5/16/13 Wally W.
5/17/13 Richard Tobin
5/17/13 Pubkeybreaker
5/17/13 Richard Tobin
5/17/13 Brian Q. Hutchings
5/18/13 Richard Tobin
5/18/13 Brian Q. Hutchings
5/18/13 Graham Cooper
5/19/13 Richard Tobin
5/23/13 Phil Carmody
5/25/13 Tucsondrew@me.com
5/17/13 David C. Ullrich
5/23/13 joshipura@gmail.com
5/23/13 quasi
5/24/13 joshipura@gmail.com
5/24/13 Graham Cooper
5/24/13 quasi
5/24/13 Graham Cooper
5/24/13 Pubkeybreaker
5/23/13 Peter Percival
5/23/13 Brian Q. Hutchings
5/23/13 Brian Q. Hutchings
5/24/13 Robin Chapman
5/24/13 Brian Q. Hutchings
5/24/13 Brian Q. Hutchings
5/28/13 Robin Chapman
5/24/13 Robin Chapman
5/25/13 byron
5/25/13 Brian Q. Hutchings