Knowing $2017 = 9^2 + 44^2$. find $m,n$ which satisfy $2017^2 = m^2 + n^2$
62747
Use induction to prove a product of sums of squares is a sum of squares
88124
$M,N\in \Bbb R ^{n\times n}$, show that $e^{(M+N)} = e^{M}e^N$ given $MN=NM$
10176
How to find a continued fraction
34059
$(a^{2^n}+1,a^{2^m}+1)=1 or 2$
8884
Find all natural numbers $n$ and $m$ for which $n^m=(n-1)!+1$
106965
How to algebraically prove $\binom{n+m}{2} = nm + \binom{n}{2} + \binom{m}{2}$?
119109
Integer solutions to $ n^2 + 1 = 2 \times 5^m$
60385
How to solve this sequence $165,195,255,285,345,x$
72360
Find the value of $a^{2m}+a^m+{1\over a^m}+{1\over a^{2m}}$
68396
$a+b=c+d$ , $a^3+b^3=c^3+d^3$ , prove that $a^{2009}+b^{2009}=c^{2009}+d^{2009}$
148906
Finding integers $m,n$ such that $(m-n)^2=4mn/(m+n-1)$
66161
How to solve the equation $n^2 \equiv 0 \pmod{584}$?
80843
Find all solutions to $x^9 \equiv 25 \pmod {29}$
36757
I can't determine the maximum natural number which is unable to be represented as $17\times x+23\times y$
25883
Calculating $\Big\lfloor\underbrace{\sqrt{2017+\sqrt{2017+...+\sqrt{2017}}}}_\text{2017 roots}\Big\rfloor$
46400
how do i prove that $17^n-12^n-24^n+19^n \equiv 0 \pmod{35}$
68960
How to solve $ 13x \equiv 1 ~ (\text{mod} ~ 17) $?