Fermat's Little Theorem examples

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Find the least residue (modulo p) using Fermat's Little Theorem; or find the remainder when dividing by p. We start with a simple example, so that we can easily check the answer, then look at much bigger numbers where the answers cannot be directly checked on a calculator.

0:00 Fermat's Little Theorem: Least residue of a large number...
0:20 ...or: Remainder when dividing by a prime
0:50: Formula
1:50 Small Example
5:30 Big Example
8:40 Very Big Example
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You are a fantastic teacher! Thanks so much.

chainag
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This was honestly so helpful. I could not for the life of me understand how modulo notation worked, and seeing this explained with the theorem got me unstuck in the middle of a project. Thank you so much!

theforceisnotwithyou
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Sometimes it’s better to see an application first, and only thereafter lean into the theory. Thanks, Jay, for starting me on the path towards understanding this beautiful theorem. Your examples were incredibly poignant 🏆🙌🏽🎊

ozzyfromspace
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Again, Maths with Jay saves the day. You are such a huge help, thank you 😊

wobblyjelly
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I've been struggling with this topic for days now in preparing to lecture this topic.... you've made it so easy to understand. Keep up the good work!

cary_domiii
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Thank you so much! I have an exam tomorrow and homework due the next day and you just saved me! You explained so good! I worked your examples along with you...

kamikiru
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The way you explain is nothing short of brilliant.

tj
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You have saved my life! I needed to know how to do this for my Mathcounts, and I didn't know! Thank you so much!

AllenShen
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I am a French student and this was the most helpful video I found, your explanation was clear and simple, I finally understood. Thank you !

yanna
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Thanks Jay one of the best explanation I was in youtube you made it look very easy thanks...

Vishnu-zknm
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Thank you so much, I am a native spanish speaker so I had been looking for spanish videos to figure that out and none of those videos worked for me and I found your video and it really helped me out!! . Finally I just got it

dimisword
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You have saved me so much time and effort preparing for a test; thank you so much!

pixellatedpixie
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I love your Voice and really you are fantastic teacher I had ever met in my life
Thanks for the video

rishisharma
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i ve seen 100 of videos and website this is by far the easiest solution

atleastfortomorrow
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Thanks for making this video. This is well explained. You are a great teacher!

HaGau-zkrn
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This was extremely helpful having three levels of examples!

saolaobri
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Thank you very much for such a clear and an elegant explanation!

altairezio
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Loved it. Now I know the application of this theorem.

kunalsinghgusain
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Thank you very much, helped me a lot for my first year of computer science study in france !
Best video on the subject on the 4 i watched

Robin-onvo
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Thank you!! this really helped for my discrete mathematics class!

Sandra-nvwm