7 Answered Questions for the topic Modular Arithmetic

05/16/22

How to find Mod of a large number (Fermat's Little Theorem)

How do you find the modulus of a large number? For example:12345678901234567890^{98765432109876543210} mod 1234567?or 38232701^2897310 mod 11What does this have to do with Fermat's little theorem
Modular Arithmetic

02/08/19

which of the following is congruent to x ≡6 mod 11

 133 + 533 142 + 224 121 + 525  300 + 106
Modular Arithmetic

03/08/18

I need help with modular arithmetic

Compute 5ˆ250 mod 26,clearly outlining all steps in the process.
Modular Arithmetic

03/08/18

With x---3(mod11) and x---4(mod13), how can I conclude that x---69(mod143)?

I know 143 is [11,13] but don't know how to get 69. (I don't know how to type the triple symbol).
Modular Arithmetic

02/10/18

if X mod 25 = 17 and X mod 18 = 9. what's is the least value of X ?

If X mod 25 = 17 and X mod 18 = 9 , what's the least value of X ? 
Modular Arithmetic

01/10/16

Can someone please help me? I have no idea how to do this modular congruence question!

This questions is driving me crazy!   Show that if a, b, k, and m are integers such that k ≥ 1, m ≥ 2, and a ≡ b (mod m), then a^k ≡ b^k (mod m)
Modular Arithmetic Math High School: Math Higher Level

08/14/13

Higher Level Math Question---> Russian Lucky Numbers?!

In Russia you get into a bus, take a ticket, and sometimes say : Wow, a lucky number! Bus tickets are numbered by 6-digit numbers, and a lucky ticket has the sum of 3 first digits being equal to... more

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