Eric Hahn wrote:

>  M727 - 94.3716% probability - 2 factors
>  M727 - 52.8693% probability - 3 factors
>  M727 -  6.0014% probability - 4+ factors
>  M727 - 91.1834% probability - 313-bit min. factor size
>  M727 - 93.0447% probability - 428-bit max. factor size
>  M727 - 21.7336% probability - highly composite factors

>  M751 - 83.8467% probability - 2 factors
>  M751 - 74.2974% probability - 3 factors
>  M751 - 19.5801% probability - 4+ factors
>  M751 - 87.2999% probability - 281-bit min. factor size
>  M751 - 81.0003% probability - 526-bit max. factor size
>  M751 - 30.1716% probability - highly composite factors

Eric,

I was wondering what variables are the basis for these statistics, and whether
they can be used to investigate whether a particular Mersenne number is likely
to be prime?

cheers,
Bill.

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