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The Calculation of Large Primes

Published online by Cambridge University Press:  03 November 2016

E. M. Wright
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Extract

For the last 75 years the largest known prime has been the Mersenne number 2127 – 1, proved prime by Lucas. In two recent notes (Eureka, October 1951 and Nature, 168 (1951), 838), Miller and Wheeler announced their identification of several larger primes, of which the greatest is

Type
Research Article
Information
The Mathematical Gazette , Volume 37 , Issue 320 , May 1953 , pp. 104 - 106
Copyright
Copyright © The Mathematical Association 1953

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References

page no 104 note * Recently the application of Lucas’s test for primes of the form 2p-1 (by Prof. R.M. Robinson using SWAC) has led to the discovery of serveral very much larger primes.

page no 105 note † This implies that k<p since for p>3, while, for p=3, and so k=2<3.