Linear congruential generator

The Lehmer algorithm can be written as

$y_{n+1}\equiv ay_{n}+b~~(\mod m),$

where the user chooses $a$, $b$, $m$, and a seed value to initiate the algorithm, Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle y_0} .

See the prime modulus multiplicative linear congruential generator page.

References

1. D. H. Lehmer, "Mathematical methods in large-scale computing units", Proceedings of the 2nd Symposium on Large-Scale Digital Calculating Machinery, vol XXVI pp. 141-146 The Annals of the Computational Laboratory of Harvard University, Harvard University Press (1951)