A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing

This Question is Closed

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.0Fermat's Little Theorem?

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.0\[79 \equiv 79 \equiv 0 \pmod{79} \]Which is kinda obvious.

terenzreignz
 one year ago
Best ResponseYou've already chosen the best response.1And so we meet again.

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.0Euler's Theorem says that \(\phi(79) = 79\) T_T

terenzreignz
 one year ago
Best ResponseYou've already chosen the best response.1Yeah? I was talking to the modular maths problem XD LOL Jk

terenzreignz
 one year ago
Best ResponseYou've already chosen the best response.1So anyway, 79^5 = 1(mod 100)

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.0How do you know again...

terenzreignz
 one year ago
Best ResponseYou've already chosen the best response.179^2 = 6241 = 41(mod 100) 79^3 = (41)(79)(mod 100) = 39(mod 100) 79^4 = (39)(79)(mod 100) = 81(mod 100) 79^5 = (81)(79)(mod 100) = 99(mod 100) = 1(mod 100)

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.0So \(79^{10} \equiv 1 \pmod{100}\)?

terenzreignz
 one year ago
Best ResponseYou've already chosen the best response.1Yeah, that's true....

terenzreignz
 one year ago
Best ResponseYou've already chosen the best response.1Meaning 79^70 = 1(mod 100), too :D

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.0So does that mean \(79^{80} \equiv 1 \pmod {100}\)

terenzreignz
 one year ago
Best ResponseYou've already chosen the best response.1Yes... But it's 79^79 you want, right? 79^75 = 1(mod 100)

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.0\[79^{70} \times 79^{5} \times 79^{4} \pmod{100}\]AH!

terenzreignz
 one year ago
Best ResponseYou've already chosen the best response.1mhmm... 79^70 is 1 79^5 is 1 79^4, refer to the process we did earlier...

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.0\[1 \times 1 \times 81 \pmod{100}\]

terenzreignz
 one year ago
Best ResponseYou've already chosen the best response.1Yeah, that seems right :D
Ask your own question
Ask a QuestionFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.