Mersenne Numbers: consolidated results


Autoria(s): Haworth, Guy McCrossan; Holmes, Steve; Hunt, David; Lake, Tom; Reddaway, Stewart
Data(s)

01/07/1986

Resumo

This document provides and comments on the results of the Lucas-Lehmer testing and/or partial factorisation of all Mersenne Numbers Mp = 2^p-1 where p is prime and less than 100,000. Previous computations have either been confirmed or corrected. The LLT computations on the ICL DAP is the first implementation of Fast-Fermat-Number-Transform multiplication in connection with Mersenne Number testing. This paper championed the disciplines of systematically testing the Mp, and of double-sourcing results which were not manifestly correct. Both disciplines were adopted by the later GIMPS initiative, the 'Great Internet Mersenne Prime Search, which was itself one of the first web-based distributed-community projects.

Formato

text

Identificador

http://centaur.reading.ac.uk/5948/1/1986_H_Mp_Consolidated_Results.pdf

Haworth, G. M. <http://centaur.reading.ac.uk/view/creators/90000763.html>, Holmes, S., Hunt, D., Lake, T. and Reddaway, S., (1986) Mersenne Numbers: consolidated results. Technical Report. Guy Haworth (first author), Reading. pp66.

Idioma(s)

en

Publicador

Guy Haworth (first author)

Relação

http://centaur.reading.ac.uk/5948/

creatorInternal Haworth, Guy McCrossan

Tipo

Report

NonPeerReviewed