Re: [PrimeNumbers] Re: Prime chains x-->Ax+B [puzzle 2]
- Hello David,
At 07:31 AM 20/11/2010, djbroadhurst wrote:
>Please read the rules for the bounded case:Something like [18*x-448552937, [15788701, 15]] probably violates
> > Let A, B and L be integers with A > 1 and L > 1.
> > Definition: A "Smith chain" of length L is a chain
> > p[n+1] = A*p[n] + B, such that p[n] is prime,
> > for n = 1 to L, with p > p > A.
> > Definition: A "maximal Smith chain" is a Smith chain with
> > integers (A,B) for which there is a proof that no chain
> > of greater length exists.
your search criteria.
I just need to know if A < p < p can be stretched to A <
abs(p) < abs(p) or is that outside of these rules?
Kevin. (with 25 conforming 15/16s)
- --- In firstname.lastname@example.org,
Kevin Acres <research@...> wrote:
> x=a*x+b either is a square or has a square as a major factor.Suppose that we want to start with a square and get a square.
Then we must solve the Diophantine equation
y^2 = a*x^2 + b
For any pair (a,b), Dario will tell us all the solutions: