RE: [PrimeNumbers] A question?
- From: Bob Gilson
> Let a,b,c be consecutive natural numbers, where a >1why?
> (a*c)-b appears to offer a greater density of primes than the norm;
Call them n-1, n, and n+1 instead of a, b and c. Then a*c-b is
n^2 - n - 1. This is never divisible by 2, so produces twice the
primes "as usual." It is never divisible by 3, so that gives a
factor of 3/2. Nor by 7, that gives 7/6. So with these alone
we expect 3.5 times the usual number.