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Old 2021-11-07, 02:18   #12
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Quote:
Originally Posted by Nick View Post
This is not my area (as you know!) but I would say broadly speaking that you have 2 paths forward: either a mathematical proof that your method performs better or, alternatively, using formal statistical methods to show that the testing you have done is sufficient to be significant.
I have gone for a mixture of what you wrote. The outlandish claims are back! The paper has undergone a major rewrite.

Enjoy the latest incarnation found in post #1.
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Old 2021-11-08, 06:35   #13
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Enjoy the latest incarnation found in post #1.
A new copy has been uploaded with more statistics. I am waiting for the final data to come in. ETA: a few weeks
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Old 2021-11-20, 14:01   #14
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The row of data for 9 digits has been added. The data for 10 digits will take another month of so.

I have tried to make the English simpler. So it is worth downloading the latest copy from post #1. Please enjoy the read -- it is less that 3 pages long -- and let me know about any improvements that could be made.
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Old 2022-01-07, 22:32   #15
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I am still gathering data, but post #1 has been updated with the latest paper. The idea of segmenting P is introduced with the idea of unlikely geometric progression of passes of the test. I also offer £100 for a composite that passes for any "r".

EDIT: I have removed the wishy-washy paragraph about segmentation.

Last fiddled with by paulunderwood on 2022-01-08 at 12:38
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Old 2022-01-15, 16:57   #16
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EDIT: I have removed the wishy-washy paragraph about segmentation.
I can now clarify. Take the example n=2499327041 with 30258 P <= (n-1)/2 values that give rise to counterexamples. The multiplicative order of 2 is 560 meaning a single 2^r solution would give rise to 2231542 solutions in total, as r goes up to (n-1)/2. Maybe this is not the correct reasoning

Last fiddled with by paulunderwood on 2022-01-15 at 17:58
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