Euler's theorem made easy

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Solutions to 3 typical test questions. A beautiful theorem
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This video just saved me 3 points on an open-resources exam. Thank you so much!

chrism
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Thanks for the video man ! Have an exam on Monday and this video really saved my ass. Straightforward and easy to understand.

ehsan
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I just happen to have a midterm for my Number Theory class this week! So this video is very timely. Thank you so much!

alkankondo
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I've gone through like 6 videos on this and this was the most useful, thanks

ronicave
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Thankyou so much, none of my lecture notes are making sense but this does

randyvines
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You are good at explaining how to apply these theorems, very practical. Keep doing made easy series to more harder math. 😀

qkloh
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good morning do you have an advice to where to find a good proof of this theorem? My uni teacher explained it but I just can't understand one particular equivalence, so I'd like to see a proof of the Euler Fermat theorem from scratch, do you know where can I find one?

iosifpuha
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thanks a lot sir I understood the concept very easily😃

halaganiramya
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great vid! I remember this from number theory, but you made it soo much easier

vanessamichaels
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please tell me sir
how it becomes = ( 7 power 12 )power 11 * 7
= 1 power 11 * 7 , how? where power 12 went to?

abdibaqihassan
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Hi, would I be correct in saying that if the power for question 2 was -133 instead, the answer would still be the same? Since you can simply change it to (7^12)^-11 and 1^-11 is still 1. Thus still getting 7 mod 26.

abraxzus
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is 5^34 divided by 17 have a remainder of 1? Cause the textbook I have has a different answer.

vearlleroyvillanueva
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Thank you very much for these videos. I am a high school student doing a project about RSA, so that is why I am here. I think I at least grasp the ideas (at least for now), but could you also explain WHY do these things happen? Did Euler accidentally just stumble upon this, and even if so why does this happen?

uzeyirveli
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For the second example, you p = 2 and q = 13 but doesn't p and q have to be greater than a which is 7 in this case?

lucriciousthetrainer
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why do we have to add (mod 26) to the final answer in the second example? Can't we just write 7 ? Is it important to the answer in any way, to write mod 26 in between brackets?

sarahbiebah
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What is that formula to find the relatively prime?

srivatsann
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Thank you so much sir.nice explanation

navyakakarlapudi
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What do you mean by ø(26)
What is the formula?

yusra_qasem
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I hate my lecturer who never makes things clear and also doesn't point out where to study, he'd better leave the academy since he's that incompetent to teach the student. Everyone suffers other than those who already got a mathematics background, everyone.

简澜
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Im having a very hard time understanding how (7^12)^11 is the same thing as 1^11

gustavohernandez