RE: Statistical Analysis of Prime Exponent Mersennes After much private debate, I'm providing the following I have inquired and received information about. Please, don't flame me or ask me to explain further, as I'm only the messenger and don't have all the answers myself... Q: Can all the data be posted to the list? A: HA! Not likely. The current size of 1.43TB of "raw" data which must be "interpreted" (taking 25+ times the space) is too large. I don't know about others, but I don't have the 20+ years to download the data over a 56K modem if posted to the list... Q: What algorithms are used? A: 'A variety of standard algorithms and methodologies used in traditional and non-traditional statistical analyses. Used in large number of complex, unique and even 'unusual' relations.' Q: Is the code and/or program available? A: 'No. Major chunks of code are proprietary, licensed, patented [or pending] or 'otherwise' restricted from distribution. Typical PC unable to run; Lack of memory or storage.' Q: Can you provide data on M727, M751, M#39, M#40, M*10M-digit? A: 'Here is info.' ACTUAL (REAL-LIFE INTERPRETED) DATA: 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 M#39 - 53.7390% probability - range=10987349-11013853 M#39 - 64.0127% probability - range=10914203-11092621 M#39 - 81.6073% probability - range=10793527-11204183 M#39 - 97.3391% probability - range=10526447-11390453 M#40 - 61.4726% probability - range=13430227-13501387 M#40 - 77.3902% probability - range=13359163-13592549 M#40 - 86.0715% probability - range=13231913-13684399 M#40 - 96.5507% probability - range=13092361-13973117 M#43 - 58.3097% probability - range=41976841-42057331 M#43 - 71.6352% probability - range=41901683-42138559 M#43 - 79.7464% probability - range=41753977-42302809 M#43 - 93.4218% probability - range=41564021-42516373 NOTE: Highly composite means 6 or more factors of the factor - 1... Eric _________________________________________________________________________ Unsubscribe & list info -- http://www.scruz.net/~luke/signup.htm Mersenne Prime FAQ -- http://www.exu.ilstu.edu/mersenne/faq-mers.txt