```Date: May 23, 2013 8:47 AM
Author: Peter Percival
Subject: Re: First Proof That Infinitely Many Prime Numbers Come in Pairs

joshipura@gmail.com wrote:> I am not a mathematician - but can understand prime numbers, and even the hypothesis under discussion.>> I wanted to tell to my children (who also know about prime numbers) about this development. Here is my script:>> "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 ElephantBehind /another/ Elephant who isn't really there....				A .A. Milne
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