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## ARE THERE SETS DENSER THAN 6AB+-A+-B?

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• If we can probe that there is a set that always will be denser than 6ab+-a+-b then twin primes will be infinite. I asked myself if it is possible to get a
Message 1 of 1 , Aug 3, 2010
If we can probe that there is a set that always will be denser than
6ab+-a+-b then twin primes will be infinite. I asked myself if it is
possible to get a candidate. The first option was the 3ab+-a+-b set. In
fact, all odds numbers are of this form and only very few even numbers are
of the form. I divided some 6ab+-a+-b integers by the corresponding
3ab+-a+-b and 6ab+-a+-b are in average two times larger. It was obvious for
me that one set is denser than de other, but how. Checking up to one hundred
I realized that the integers that not were equal to 3ab+-a+-b correspond
exactly twice non 6ab+-a+-b. I donĀ“t kow if someone has information about
this approach.
Then if g is not equal to
6ab+-a+-b, 2g wont be equal to 3ab+-a+-b. It apalled me because it
reflects the two times larger correspondence in a very weird way. The
6ab+-a+-b
problem seems to exeed the twin primes distribution.

Kind regards,
Alberto Zelaya

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