Mersenne Numbers: consolidated results

Haworth, G. M. ORCID: https://orcid.org/0000-0001-9896-1448, Holmes, S., Hunt, D., Lake, T. and Reddaway, S., (1986) Mersenne Numbers: consolidated results. Technical Report. Guy Haworth (first author), Reading. pp66.

Abstract/Summary

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.

Item Type	Report (Technical Report)
URI	https://reading-clone.eprints-hosting.org/id/eprint/5948
Divisions	Science
Uncontrolled Keywords	Distributed Array Processor, error-correction, Fast Fermat-Number transform multiplication, first factor, ICL, Lucas-Lehmer test, Mersenne number, results
Publisher	Guy Haworth (first author)
Publisher Statement	The publisher agrees this can be republished via CentAUR.
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