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Forum: Aliquot Sequences 2018-03-07, 19:05
Replies: 466
Views: 34,533
Posted By Brownfox
All primes to any power. Note that the vast...

All primes to any power. Note that the vast majority are not to a non-unit power.

Regards
Steve
Forum: Aliquot Sequences 2018-03-07, 17:44
Replies: 466
Views: 34,533
Posted By Brownfox
My approximation for cofactors with 90-110 digits...

My approximation for cofactors with 90-110 digits - to be taken with a large pinch of salt as it is only based on some 200 examples so the deviation from the actual expectation is likely to be large...
Forum: Aliquot Sequences 2018-03-04, 17:59
Replies: 466
Views: 34,533
Posted By Brownfox
Having done a bit of counting and calculation...

Having done a bit of counting and calculation I've come to the conclusion that increasing the size of the number of digits doesn't actually make a significant difference to these probabilities. Yes,...
Forum: Aliquot Sequences 2018-03-01, 07:45
Replies: 466
Views: 34,533
Posted By Brownfox
Curtis- I can have a go at the weekend - too...

Curtis-
I can have a go at the weekend - too much RL before then.
The key in all the probabilities is the distribution of the number of factors - how likely it is to have 1, 2, 3 etc factors (other...
Forum: Aliquot Sequences 2018-02-28, 18:36
Replies: 466
Views: 34,533
Posted By Brownfox
I had already done some calculations based on...

I had already done some calculations based on sequence 1667820 where the composites were 90-110 digits.

I'm not a mathematician so I don't claim they're in any way rigorous but it came out as:
...
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