All real number for which $n$ in $5^n+7^n+11^n=6^n+8^n+9^n$
126689
Find the number of natural solutions of $5^x+7^x+11^x=6^x+8^x+9^x$
52032
Prove that ${n^5 - n}$ is divisible by 5
142008
Find all natural numbers $n$ such that ${(n+1)}^{1/2}-{(n-1)}^{1/2}$ is rational
43476
An exponential equation over positive real numbers $4^x+14^x+3^x=11^x+10^x$
5868
Find the real number $x$ represented by continued fraction $[12;2,2,12,2,2,12,2,2,12\dots]$
41641
$(n-7)(n+7)=$ some perfect square
121918
Why is $5^{n+1}+2\cdot 3^n+1$ a multiple of $8$ for every natural number $n$?
120227
Proving $6^n - 1$ is always divisible by $5$ by induction
132801
Is it true that $\lfloor\sqrt{n}+\sqrt{n+1}+\sqrt{n+2} \rfloor=\lfloor\sqrt{9n+7}\rfloor$?
75489
Solve $x^2$ $mod$ $23 = 7^2$
17194
$6^{(n+2)} + 7^{(2n+1)}$ is divisible by $43$ for $n \ge 1$
23684
Prove for all integer $n > 1$ that if $n | 34$, then $n+5$ and $n^2+$9 are coprime
56760
Prove by induction that an expression is divisible by 11
60041
Number of real roots of $3^x+4^x=2^x+5^x$ with proof
95141
$n^5-n$ is divisible by $10$?
119691
$5^{x}+2^{y}=2^{x}+5^{y} =\frac{7}{10}$ Work out the values of $\frac{1}{x+y}$
24822
How to solve the equation $(z+1)^7 = z^7$ for all $z$?