Fermat's little theorem requires p be a prime, so you could maybe use 5. Also that is not the base, right? It is the modulus, so if you went much lower (say 2) it might not be very interesting. But that being said, if you used a modulus (that is a prime) but not 7 then you would adjust the numbers accordingly. For example, using 11, you could say that 3^10 is congruent to 3 modulo 11. Does this help clarify? Please let me know if I can help further.
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He means mod 7, as shown at the start. You can show this with indices: 3^6 = (3^2)^3. 3^2 = 9 and mod seven is 2. 2^3 is 8 and mod seven is 1. so 3^6 mod 7 = 1 and can be replaced throughout.
For goodness sake. I’ve been feeling stupid, trying to understand this. This video is everything! Thanks.
awesome explanation ty
you are the best Sir
Thank you! Thank you! Thank you! Very good explanation. ^_^
thanks for this joshua :)
Very easy to understand ur explanation sir
I m from india😊😊thank u
Mera 1 problem solve kardo na plz I confused 🤔
Find the remainder when 16 Ka power 53 divided by 7
What do we do if the base is lesser than 7?
Fermat's little theorem requires p be a prime, so you could maybe use 5. Also that is not the base, right? It is the modulus, so if you went much lower (say 2) it might not be very interesting.
But that being said, if you used a modulus (that is a prime) but not 7 then you would adjust the numbers accordingly. For example, using 11, you could say that 3^10 is congruent to 3 modulo 11.
Does this help clarify? Please let me know if I can help further.
Joshua Helston what if 1st term is smaller than 2nd term like 3^12 mod 11?
exactly what if the Mod is bigger than 24 ?
i hope you wake up with a million dollar on your door
Thank you, I am glad you found it useful!
You prolly dont give a shit but if you're stoned like me during the covid times then you can watch all the latest movies on Instaflixxer. Been watching with my brother for the last few weeks =)
@Rory Keanu yea, I've been watching on instaflixxer for since november myself :)
Sir , from india ❤
🐐
How is (3^6)^6 =1^6?
He means mod 7, as shown at the start. You can show this with indices:
3^6 = (3^2)^3. 3^2 = 9 and mod seven is 2. 2^3 is 8 and mod seven is 1. so 3^6 mod 7 = 1 and can be replaced throughout.