Question

Prove Fermat’s Little Theorem using induction: ap ≡ a (mod p) for any a ∈Z.

Prove Fermat’s Little Theorem using induction: ap ≡ a (mod p) for any a ∈Z.

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
prove fermats little theorem using induction
prove fermats little theorem using induction
Using Fermat’s Little theorem, find the multiplicative inverse of 4 in mod 13. Show your work....
Using Fermat’s Little theorem, find the multiplicative inverse of 4 in mod 13. Show your work. Using Euler’s theorem, find 343 mod 11.
Prove that for any integer a, a^37 is congruent to a (mod 1729). We have Fermat's...
Prove that for any integer a, a^37 is congruent to a (mod 1729). We have Fermat's Little Theorem and Euler's Theorem to work with.
Use Fermat's Little theorem to solve: 6^400 (mod 37)
Use Fermat's Little theorem to solve: 6^400 (mod 37)
Without using the Fundamental Theorem of Arithmetic, use strong induction to prove that for all positive...
Without using the Fundamental Theorem of Arithmetic, use strong induction to prove that for all positive integers n with n ≥ 2, n has a prime factor.
Using mathematical induction (or otherwise) prove the following statement: There is no m ∈ Z with...
Using mathematical induction (or otherwise) prove the following statement: There is no m ∈ Z with 0 < m < 1.
Without using induction, prove that for x is an odd, positive integer, 3x ≡−1 (mod 4)....
Without using induction, prove that for x is an odd, positive integer, 3x ≡−1 (mod 4). I'm not sure how to approach the problem. I thought to assume that x=2a+1 and then show that 3^x +1 is divisible by 4 and thus congruent to 3x=-1(mod4) but I'm stuck.
Prove that ∀a ∈ Z, a5 ≡ a (mod 5).
Prove that ∀a ∈ Z, a5 ≡ a (mod 5).
(7) Which of the following statement is TRUE? (A) If am−1 ≡ 1 (mod m), then...
(7) Which of the following statement is TRUE? (A) If am−1 ≡ 1 (mod m), then by Fermat’s Little Theorem m must be a prime. (B) If ac ≡ bc (mod m), then a ≡ b (mod m). (C) If a ≡ b (mod m) and n | m, then a ≡ b (mod n). (D) If 2n −1 is a prime, then 2n−2(2n −1) is a perfect number. (E) If p is a prime, then 2p −1 is also...
Compute 2017^2017 mod 13 Please show all steps and use Fermat's Little Theorem
Compute 2017^2017 mod 13 Please show all steps and use Fermat's Little Theorem
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT