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Basic congruence introduction in modular arithmetic. We will go over 3 ways to interpret a ≡ b ( Update: Check the comments for the mistake in this video. Another fun This video is part of the “Number Theory” playlist of my channel Thanks and enjoy the video! Number Theory Playlist: ... We give a characterization of numbers which are invertible
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Proving Properties of Modular Congruence
If a ≡ b (mod n) and c ≡ d (mod n), then ac ≡ bd (mod n) (Proof) [ILIEKMATHPHYSICS]
PROOF : a mod n = b mod n iff. n | (a-b) | Abstract Algebra
Some important facts about ≡ (mod n)
(Abstract Algebra 1) Units Modulo n
(4.5.25) Unraveling the Intricacies of Modular Arithmetic: A Proof for A*B mod 7 = 2
Number Theory | Inverses modulo n
Show that n(a-b) if a ≡ b (mod n).
Given that a≡b(modm), aⁿ≡bⁿ(modm) [Mathematical Induction Proof for Further Pure Mathematics 2]
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Last Updated: June 12, 2026
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![If a ≡ b (mod n) and c ≡ d (mod n), then ac ≡ bd (mod n) (Proof) [ILIEKMATHPHYSICS]](https://i0.wp.com/i.ytimg.com/vi/He47tKMNNQA/mqdefault.jpg?resize=320,180)
![Given that a≡b(modm), aⁿ≡bⁿ(modm) [Mathematical Induction Proof for Further Pure Mathematics 2]](https://i0.wp.com/i.ytimg.com/vi/31lcZekvNnA/mqdefault.jpg?resize=320,180)