Coding the Lehmer pseudo-random number generator

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Coding the Lehmer pseudo-random number generator

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Communications of the ACM archive
Volume 12 , Issue 2 (February 1969) table of contents

Pages: 85 - 86

Year of Publication: 1969

ISSN:0001-0782

Authors

W. H. Payne	Washington State Univ., Pullman
J. R. Rabung	Washington State Univ., Pullman
T. P. Bogyo	Washington State Univ., Pullman

Publisher

ACM New York, NY, USA

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Downloads (6 Weeks): 9, Downloads (12 Months): 76, Citation Count: 18

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ABSTRACT

An algorithm and coding technique is presented for quick evaluation of the Lehmer pseudo-random number generator modulo 2 ** 31 - 1, a prime Mersenne number which produces 2 ** 31 - 2 numbers, on a p-bit (greater than 31) computer. The computation method is extendible to limited problems in modular arithmetic. Prime factorization for 2 ** 61 - 2 and a primitive root for 2 ** 61 - 1, the next largest prime Mersenne number, are given for possible construction of a pseudo-random number generator of increased cycle length.

REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

	1	A. Van Gelder, Some New Results in Pseudo-Random Number Generation, Journal of the ACM (JACM), v.14 n.4, p.785-792, Oct. 1967 [doi>10.1145/321420.321437]
	2	LEHMER, D.H. Random number generation on the BRL highspeed computing machines, by M. L. Juncosa. Math. Rev. 15 (1954), 559.
	3	K. D Tocher, The art of simulation, English Universities Press, 1967
	4	Random number generation and testing. Form C20-8011, IBM, 1959.

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