IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Online ISSN : 1745-1337
Print ISSN : 0916-8508
Regular Section
Simple Remarks on Carmichael Numbers
Shigenori UCHIYAMA
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2009 年 E92.A 巻 1 号 p. 326-328

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An odd composite number n for which an-1 ≡ 1 (mod n) for all integers a coprime to n 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.

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© 2009 The Institute of Electronics, Information and Communication Engineers
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