Consider Euler’s theorem:
If m is a positive integer and a is an integer relatively prime to m,
then a (m)≡1(mod m)
Use this theorem to show that if a is an integer relatively prime to
32760 then a12≡1(mod 32760).
Mathematics Homework Solutions
#83522
Euler's theorem applied to large integers
Consider Euler's theorem:
If m is a positive integer and a is an integer relatively prime to m, then a^phi(m)≡1(mod m)
Use this theorem to show that if a is an integer relatively prime to 32760 then a^12≡1(mod 32760).
Symbols better shown in file (attached).
This shows how to use Euler's theorem in a proof.
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