Carmichael Numbers - GeeksforGeeks
https://www.geeksforgeeks.org/carmichael-numbers27.09.2016 · A number n is said to be a Carmichael number if it satisfies the following modular arithmetic condition: power (b, n-1) MOD n = 1, for all b ranging from 1 to n such that b and n are relatively prime, i.e, gcd (b, n) = 1. Given a positive integer n, find if it is a Carmichael number. These numbers have importance in Fermat Method for primality ...
Carmichael Numbers - GeeksforGeeks
www.geeksforgeeks.org › carmichael-numbersJul 09, 2021 · A number n is said to be a Carmichael number if it satisfies the following modular arithmetic condition: power (b, n-1) MOD n = 1, for all b ranging from 1 to n such that b and n are relatively prime, i.e, gcd (b, n) = 1. Given a positive integer n, find if it is a Carmichael number. These numbers have importance in Fermat Method for primality ...
Finding Carmichael numbers - Lancaster
www.maths.lancs.ac.uk › jameson › carfindA Carmichael number has at least three prime factors. Proof. Suppose that n has two prime factors: n = pq, where p, q are prime and p > q. Then p−1 > q−1, so p−1 does not divide q−1. By Proposition 2, p−1 does not divide n−1. So n is not a Carmichael number. PROPOSITION 4. Suppose that n is a Carmichael number and that p and q are prime
Carmichael number - Wikipedia
https://en.wikipedia.org/wiki/Carmichael_numberIn number theory, a Carmichael number is a composite number which satisfies the modular arithmetic congruence relation: for all integers which are relatively prime to . They are named for Robert Carmichael. The Carmichael numbers are the subset K1 of the Knödel numbers. Equivalently, a Carmichael number is a composite number for which
Carmichael Number -- from Wolfram MathWorld
mathworld.wolfram.com › CarmichaelNumberDec 17, 2021 · Carmichael Number. A Carmichael number is an odd composite number which satisfies Fermat's little theorem. (1) for every choice of satisfying (i.e., and are relatively prime) with . A Carmichael number is therefore a pseudoprime to any base. Carmichael numbers therefore cannot be found to be composite using Fermat's little theorem.
Carmichael Numbers Checker - Strong Pseudo-Prime - Online ...
https://www.dcode.fr/carmichael-numberExcept explicit open source licence (indicated Creative Commons / free), the "Carmichael Number" algorithm, the applet or snippet (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or the "Carmichael Number" functions (calculate, convert, solve, decrypt / encrypt, decipher / cipher, decode / encode, translate) written in any …