Re: [PrimeNumbers] Prime differences
- Bob Gilson wrote:
> Can anyone tell me if, p minus q = N, where N is the set of even integers,I assume you mean:
> and p and q are primes, has ever been proved?
> Example: 5 - 3 = 2, 7 - 3 = 4, 13 - 7 = 6, 13 - 5 = 8, 23 - 13 = 10 ...
Are there primes q and p for all even N such that p-q = N ?
This is conjectured, also for consecutive q and p, but has not been proved as
far as I know.
It was also asked in:
I verified it for N<10^12.
The latest first appearance of a satisfying q for N < 10^12 is N = 496562420542
which first appears for q = 3307.
Some associated sequences are in OEIS:
Jens Kruse Andersen