the largest integer $n$ for which $n+5$ divivides $n^5+5$?
53378
$\max(\{n: n+5 | n^5 + 5\})$
63710
For x < 5 what is the greatest value of x
134478
Find the highest natural number which is divisible by $30$ and has exactly $30$ different positive divisors.
18405
What is the greatest integer that divides $p^4-1$ for every prime number $p$ greater than $5$?
95669
Solutions of $|z| = z^5$ in $\Bbb{C}$?
15268
Find all $x,y \in \mathbb N^*$ such that $\frac{1}{x} + \frac{1}{y}=5$
100061
The Maximum possible order for an element $S_n$
96268
Prove that $5$ divides $3^{3n+1}+2^{n+1}$
46668
How to find integer solutions to $M^2=5N^2+2N+1$?
112575
Finding integer solutions of $m^2-n^5 = m - n$
150300
Root of unity for $n+1$
8504
Factoring $x^n + y^n$ over the integers
127426
Greatest number in the sequence
20478
Mathematical expression for $n$ largest values in a set
148217
A polynomial with integer coefficients that attains the value $5$ at four distinct points
63416
Prove $(n^5-n)$ is divisible by 5 by induction.
91451
find all positive integer $m,n$