Go Back > Extra Stuff > Miscellaneous Math

Thread Tools
Old 2021-09-15, 04:23   #12
T.Rex's Avatar
Feb 2004

2×33×17 Posts

Originally Posted by slandrum View Post
That's due to logarithmic bias. ... It get scarcer as the exponents get larger.
Hummmm Right.
My 2nd comment was stupid based on the first one.
First one seems to say that there is no rule enabling to find the next Mersenne prime based on the knowledge of previous known Mersenne primes exponents.
T.Rex is offline   Reply With Quote
Old 2021-09-15, 12:14   #13
May 2018

199 Posts

The Benford's law could indirectly be linked to a tendency toward maximum entropy.

The Gaussian distribution corresponds to maximum entropy on the entire axis from negative to positive infinity.

The uniform distribution has maximum entropy on a finite interval.

Then the exponential distribution has maximum entropy on the positive half line from zero to infinity.

The convolution of several exponential distributions results in a hypoexponential distribution on the positive half line.

The maximum entropy curve of the exponential distribution could potentially be what the decaying Benford's law curve tends to in terms of maximizing the entropy for some number theory cases.
Dobri is offline   Reply With Quote

Thread Tools

Similar Threads
Thread Thread Starter Forum Replies Last Post
Mersenne Primes p which are in a set of twin primes is finite? carpetpool Miscellaneous Math 3 2017-08-10 13:47
Distribution of Mersenne primes before and after couples of primes found emily Math 34 2017-07-16 18:44
Gaussian-Mersenne & Eisenstein-Mersenne primes siegert81 Math 2 2011-09-19 17:36
Official "Benford was wrong!" thread Mini-Geek Aliquot Sequences 15 2009-06-18 19:09
Mersenne Wiki: Improving the mersenne primes web site by FOSS methods optim PrimeNet 13 2004-07-09 13:51

All times are UTC. The time now is 05:41.

Wed Oct 27 05:41:58 UTC 2021 up 96 days, 10 mins, 0 users, load averages: 0.96, 0.99, 0.93

Powered by vBulletin® Version 3.8.11
Copyright ©2000 - 2021, Jelsoft Enterprises Ltd.

This forum has received and complied with 0 (zero) government requests for information.

Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation.
A copy of the license is included in the FAQ.