Sum of roots raised to the power 5
137048
If $p, q, r$ are the roots of $x^3 -x+1=0$, what is $p^5 + q^5 + r^5$?
54374
Alternating Series Using Other Roots of Unity
18814
Sum of the series $1+\frac{1\cdot 3}{6}+\frac{1\cdot3\cdot5}{6\cdot8}+\cdots$
109532
Proving $5^n \equiv 1 \pmod {2^r}$ when $n=2^{r-2}$
6278
The value of $\sum_{1\leq l< m <n}^{} \frac{1}{5^l3^m2^n}$
56802
Why $\sqrt[3]{{2 + \sqrt 5 }} + \sqrt[3]{{2 - \sqrt 5 }}$ is a rational number?
88429
Prove $\sqrt{2} + \sqrt{5}$ is irrational
45588
Summing a series with a changing power
20705
On equations $m^2+1=5^n$
6622
How to find roots of $X^5 - 1$?
143501
Find all $n\in\mathbb N^+$ such that the sum of the digits of $5^n$ is equal to $2^n$.
65802
The number of 5-digit numbers such that their sum of digits is even is?
72402
Summation of natural number set with power of $m$
101899
Proof By Induction of a Sum
129592
Prove the series $\sum_{n=1}^{\infty}\frac{1}{{5^n}^!}$ converges to an irrational number
113237
Find the sum of the roots of the floor equation
26607
The idea behind the sum of powers of 2