Is 1729 a Carmichael Number?

Hello everyone! In this video, we discuss and understand about Carmichael numbers in detail with the help of an example. This involves the concepts of congruences, Fermat's factorisation method, Fermat's Little theorem, and the Chinese remainder theorem. Also, there is a brief application of Korselt's criterion which is a shorter way to determine if a given composite number is Carmichael or not.
Timestamps -
0:00 - Intro
0:34 - Definition of a Carmichael number
1:03 - Factorisation of 1729 by Fermat's Factorisation Method
2:36 - Verifying the conditions satisfied by a Carmichael number for n=1729
5:13 - Verifying the Korselt's criterion for Carmichael number for n=1729
6:16 - Outro

Another example on Fermat's Factorisation method
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Keywords:
number theory, numbers, Carmichael numbers, Korselt's criterion, Fermat's factorization method, factorisation, congruences, Fermat's little theorem, the Chinese remainder theorem, abstract algebra, math, maths, mathematics, math problems, solutions, study, math community, SineWaveSonnet