Re: Alternative Goldbach?

"Norm Dresner" <ndrez@xxxxxxx> wrote in message
news:TSYRe.169899$5N3.165022@xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
> "Gerry Myerson" <gerry@xxxxxxxxxxxxxxxxxxxxxxxxx> wrote in message
> news:gerry-A74846.09224202092005@xxxxxxxxxxxxxxxxxxxxx
>> In article <9pERe.8605$kn4.4538@xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx>,
>> "Norm Dresner" <ndrez@xxxxxxx> wrote:
>>
>>> What, if anything, is known about the relationship between
>>> a) Goldbach -- Every even number > 2 can be expressed as the
>>> sum of two primes
>>>
>>> and
>>>
>>> b) Alt. G -- Every even number can be expressed as the
>>> difference of two primes
>>>
>>> and
>>>
>>> c) Comb Alt. G. -- Every even number can be expressed as the
>>> sum or difference (or both) of two primes
>>
>> To the best of my knowledge, nothing [beyond the trivial
>> a) implies c), and b) implies c)].
>>
>> --
>> Gerry Myerson (gerry@xxxxxxxxxxxxxxx) (i -> u for email)
>
> OKAY. Then I claim (B) as my very own hypothesis:
>
> Dresner's Hypothesis: Very positive even number can be expressed as the
> difference of two primes!

Not so fast, mate. See
http://mathworld.wolfram.com/dePolignacsConjecture.html

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