Title
Simple Remarks On Carmichael Numbers
Abstract
An odd composite number n for which a(n-1) equivalent to 1 (mod n) for all integers a coprime to it is called a Carmichael number. This paper shows that some class of Carmichael numbers which have relatively large prime factors can be recognized in deterministic polynomial time under the assumption of the Extended Riemann Hypothesis (ERH). Also some related problems are discussed.
Year
DOI
Venue
2009
10.1587/transfun.E92.A.326
IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES
Keywords
Field
DocType
Carmichael numbers, primality test, integer factoring, Extended Riemann Hypothesis
Carmichael function,Integer,Discrete mathematics,Carmichael number,Combinatorics,Primality test,Fermat's little theorem,Riemann hypothesis,Prime factor,Coprime integers,Mathematics
Journal
Volume
Issue
ISSN
E92A
1
0916-8508
Citations 
PageRank 
References 
0
0.34
2
Authors
2
Name
Order
Citations
PageRank
masaru uchiyama158790.30
Shigenori Uchiyama237140.90