God, my uses crazy Set theory to explain why -1 works. I’m convinced my textbook is a flex rather than a good tool for teaching.
@priyathammanoharkoka4300
3 жыл бұрын
Neatly explained, keep going
@erikestrella7240
4 жыл бұрын
Hola
@AD-uu3xi
4 жыл бұрын
Are you coming in as an undergraduate or graduate student at Caltech ? I reckon you could test out of certain course requirements if it is the former.
@SleepHound-g1x
Жыл бұрын
Near 4:54 you state "If the exponent is not a multiple of (p-1) then this number cannot be congruent to 1 mod p". But Fermat pseudoprimes are exactly these numbers. Even worse, Carmichael numbers fail this test for every choice of a base.
@MuPrimeMath
Жыл бұрын
In the video I am dealing with a fixed modulus (p). Fermat pseudoprimes and Carmichael numbers vary the modulus along with the exponent, so they are a distinct phenomenon and do not contradict the statement in the video.
@SleepHound-g1x
Жыл бұрын
@MuPrimeMath Yes. I did not realize it until too late. However, The reason the other values must satisfy the second factot is that the maximum possible zeros of the first factor are already satisfied. I'm unclear if you made that point. But I certainly didn't understand it until studying the Wikipedia page later.
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