Re: Do these prime runs have a name?
- --- In firstname.lastname@example.org, "Jens Kruse Andersen"
> Robert wrote:
> > 10347747270980*3^n+1, n from 1 to 10 all prime
> > Do these prime runs have a name?(base 2 this would be a Cunningham
> http://primes.utm.edu/glossary/page.php?sort=CunninghamChain says:
> "Note that some authors extend the definition of Cunningham Chain to
> all sequences of primes p_i the form p_(i+1) = a*p_i+b where a and b
> are fixed, relatively prime integers with a > 1."
> It has been called a generalized Cunningham chain, for example at
> but that term has also been used about other variations ofI can feel another project coming on:
> Cunningham chains.
> Your chain corresponds to (a, b) = (3, -2): p_(i+1) = 3*p_i-2.
> Jens Kruse Andersen
The longest chains k*b^n+/-1 n from n(1) to n(x) all prime, and b= the
It is relatively easy to find chains longer 8 for smaller primes, for
550326588*5^n+1, n from 1 to 10, all prime
943151976*11^n+1, n from 1 to 9, all prime
678979904460*7^n+1, n from 1 to 9 all prime