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Forum: Conjectures 'R Us 2008-11-06, 12:39
Replies: 115
Views: 38,497
Posted By robert44444uk
Gary Clumsy of me, the theory maintains that...

Gary

Clumsy of me, the theory maintains that Fermat and GFN factors are key (not as stated), to find a specific, but not necessarily efficient b for any value of k, except k=1 or k=Mersenne.
...
Forum: Conjectures 'R Us 2008-11-06, 07:24
Replies: 115
Views: 38,497
Posted By robert44444uk
Sorry for misleading if it is 64-cover - should...

Sorry for misleading if it is 64-cover - should have checked!

There is unpublished work in this area, and for this reason I cannot really go into details on why these factorisations are key as it...
Forum: Conjectures 'R Us 2008-11-04, 04:31
Replies: 115
Views: 38,497
Posted By robert44444uk
Somebody should also be looking at the theory -...

Somebody should also be looking at the theory - by checking higher (x^2)^2-1 factorisations, to see whether a smaller k is feasible, by running through bigcover.exe
Forum: Conjectures 'R Us 2008-11-03, 03:06
Replies: 115
Views: 38,497
Posted By robert44444uk
This k was generated from looking at (x^2)^n-1...

This k was generated from looking at (x^2)^n-1 factorisations -covering set is 3,5,17,257,641,65537,6700417 which I think is 32-cover. I do not think anyone has claimed it is the smallest k, it just...
Forum: Conjectures 'R Us 2008-06-02, 13:16
Replies: 115
Views: 38,497
Posted By robert44444uk
For the infinity of bases, the smallest...

For the infinity of bases, the smallest Sierpinski k may take any integer value except 2^x-1, x=integer.

There are generating functions to discover instances of certain values such as k=2,5,65...
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