Can this number theory MCQ be solved in 4 minutes?
48053
Show that 13 divides $2^{70}+3^{70}$
45460
Proof verification of a number theory problem involving sequences.
77024
Find the number of solutions of $x^2=x\mod m$ for any integer $m$
148906
Finding integers $m,n$ such that $(m-n)^2=4mn/(m+n-1)$
154610
Number of solutions for the given equation in finite field of order 32.
28594
Number of integer solutions of the following equation
106445
Dr Math and his family question. How to solve without trial and error?
143754
Finding the solution of the congruence $4x\equiv16\pmod{26}$
133937
Find the four digit number?
80843
Find all solutions to $x^9 \equiv 25 \pmod {29}$
35712
Solve for n: $\varphi(2n)=\varphi(3n)$
90830
Solve the integeral equation (C.S.I.R)
91565
How to efficiently compute $\,25^{37}\pmod{55}$?
23523
Two problems on number theory
148859
Determine $4$ specific digits in $34!$
145617
Is there any simple trick to solve the congruence $a^{24}\equiv6a+2\pmod{13}$?
22029
Solving modular arithmetic questions