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Prime numbers: a computational perspective. Second Edition
, 2005
"... Cover illustration: The cover shows a magnified view—through a watchmaker’s loupe—of a very small portion of an actual poster giving the 7.2 million decimal digits of the prime 2 240365831. Ifthe entire onemeter tall poster were thus magnified, it would be the size of a baseball diamond. ..."
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Cover illustration: The cover shows a magnified view—through a watchmaker’s loupe—of a very small portion of an actual poster giving the 7.2 million decimal digits of the prime 2 240365831. Ifthe entire onemeter tall poster were thus magnified, it would be the size of a baseball diamond.
On the Distributions of Pseudoprimes, Carmichael Numbers, and
, 2009
"... Building upon the work of Carl Pomerance and others, the central purpose of this discourse is to discuss the distribution of base2 pseudoprimes, as well as improve upon Pomerance's conjecture regarding the Carmichael number counting function [8]. All conjectured formulas apply to any base b ≥ ..."
Abstract
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Building upon the work of Carl Pomerance and others, the central purpose of this discourse is to discuss the distribution of base2 pseudoprimes, as well as improve upon Pomerance's conjecture regarding the Carmichael number counting function [8]. All conjectured formulas apply to any base b ≥ 2 for x ≥ x0(b). A table of base2 pseudoprime, 2strong pseudoprime, and Carmichael number counts up to 10 15 from [4] is included in the Appendix. We also discuss strong pseudoprimes and probabilistic primality testing. 1