> ObMersenne: What I haven't yet seen, and am too lazy (the politically > correct version is "too busy on matters of higher priority") to perform > is to see how well the historical discovery of Mersenne primes matches a > Poisson distribution.
When you bring in time as a consideration, then life gets trickier and you need to consider some form of Moore's law (that is, someway of translating between time and number of completed computations). See, for example http://primes.utm.edu/top20/trends.php where I discuss such a beast: "a primal Moore's law" (and the companion graph http://primes.utm.edu/notes/by_year.html#3 for the largest primes only). But these are for amusement purposes only. On http://primes.utm.edu/notes/faq/NextMersenne.html I give the usual analysis of Mersennes without time, plus graph the cumulative gaps distribution and toss in a goodness of fit test with the Poisson as a bonus. Obviously these will be updated when the new primes are announced. CC _______________________________________________ Prime mailing list [email protected] http://hogranch.com/mailman/listinfo/prime
