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Old 2016-11-30, 02:20   #1
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Nov 2016

22·83 Posts
Post Trial Divison Improvement

I also wanted to mention the trial division of numbers (of special forms) in PFGW for (a^n-b^n)/(a-b) (with prime n) for integer roots a, b should be reduced to only trial dividing numbers of the form 2kn+1 (or if it is faster, sieving values of 2kn+1 and then trial dividing). Although little interest is shown in finding prp factors of (a^n-b^n)/(a-b) other than the Mersenne Cofactors, I would strongly appreciate more and more searches for these factors from others. I am working hard at prp testing factors generalized base repunit forms, and a^n-b^n where a = b+1 more specifically. Thanks if someone knows how to do the trial division of these forms.
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