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In article <1162319481.305428.214350@xxxxxxxxxxxxxxxxxxxxxxxxxxxx>,
vernonner3voltazim <vnemitz@xxxxxxxx> wrote:
>We are most of us here probably familiar with Goldbach's Conjecture,
>about any even number being describable as the sum of two primes.
>It occurred to me to wonder if any even number might also be
>describable as the difference between two primes.
>For example:
>2=5-3
>4=11-7
>6=13-7
>8=19-11
>10=13-3
>etc.
>Perhaps this is already known, if not so widely as the original
>Conjecture.
>Perhaps a counterexample is known. Just wondering....
De Polignac's conjecture says that every even positive integer is the
difference of two consecutive primes in infinitely many ways.
Robert Israel israel@xxxxxxxxxxx
Department of Mathematics http://www.math.ubc.ca/~israel
University of British Columbia Vancouver, BC, Canada
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