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• ## Re: [PrimeNumbers] Differences of primes

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• ... The Polignac conjecture is even stronger: All even numbers can be written as a difference of primes in infinitely many ways. Josechu Thanx, ...
Message 1 of 3 , Jun 3, 2006
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On 6/3/06, huevon <elmerohuevo@...> wrote:
>
> Hi everybody...
>
> Apparently there is a famous conjecture that every
> even number greater than two is the difference of two
> primes.
> 1st question: Does this conjecture have a standard
> name, as do the twin primes and Goldbach's conjecture.
> 2nd question: Here is a related conjecture: infinitely
> many even numbers can be written as a difference of
> primes in infinitely many ways.
> Does this conjecture have a name, or a history?

The Polignac conjecture is even stronger: "All" even numbers can be written
as a difference of
primes in infinitely many ways.

Josechu

Thanx,
>
> elmerohuevo

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• Thank you, Josechu and Conrad. That put me on the track. The de Polignac conjecture (he was a French mathematician of the 19th Century) is that all even
Message 1 of 3 , Jun 4, 2006
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Thank you, Josechu and Conrad. That put me on the
track.
The de Polignac conjecture (he was a French
mathematician of the 19th Century) is that all even
numbers are the diffence of two primes in infinitely
many ways.

elmerohuevo

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

DePolignac

If anyone has a problem with me, the problem is his,
not mine.

---------------------------------
From: huevon <elmerohuevo@...>
Date: Sat, 3 Jun 2006 14:58:38 -0700 (PDT)

Hi everybody...

Apparently there is a famous conjecture that every
even number greater than two is the difference of two
primes.
1st question: Does this conjecture have a standard
name, as do the twin primes and Goldbach's conjecture.
2nd question: Here is a related conjecture: infinitely
many even numbers can be written as a difference of
primes in infinitely many ways.
Does this conjecture have a name, or a history?

Thanx,

elmerohuevo

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