Re: Quadratic Prime Chains
- --- In firstname.lastname@example.org, "aldrich617" <aldrich617@...> wrote:
>When "X" is odd the expressions are even. They are not equal to 2, so
> Well, got the official word from D.B.:
> linear transforms are of no value and
> egregious factors are annoying. But
> then again he says that about
> almost everything. I really thought
> I was on to something with
> X^2 - 80X + 1763 --- 79 consecutive primes
> X^2 - 237X + 14409 --- 76 consecutive primes
they are then composite.
> but apparently, no.? factor(x^4-97*x^3+3294*x^2-45458*x+213589)
> I still want to try to beat the limit though,
> and use transforms
> to find a way to make longer prime chains.
> Can anyone factor
> X^4 - 97X^3 + 3294X^2 -45458X + 213589
> (49 consecutive primes)
> into quadratics?
[x^4 - 97*x^3 + 3294*x^2 - 45458*x + 213589 1]
Of course this is factored into linear factors over the complex
> Now that is an equation that really looks like
> fun to me, and a factorization would be a good
> place to start.
As far as I can tell, if only monic polynomials with unique
positive values were permissible, then Euler would have won the
> Aldrich Stevens