Evaluating $(1^n + 2^n + 3^n + 4^n) \mod 5.$
74898
$1^n +2^n + \cdots +(p-1)^n \mod p =$?
141371
Prove that $\alpha^n+\beta^n+\gamma^n \equiv 4^n+5^n+(-6)^n \pmod{17}$
110695
Divisor of $2^{2^n} + 1$ modulus $2^{n+1}$
116054
The number $(3+\sqrt{5})^n+(3-\sqrt{5})^n$ is an integer
158004
A formula for $1^4+2^4+...+n^4$
153594
When is $1^5 + 2^5 + \ldots + n^5$ a square?
52032
Prove that ${n^5 - n}$ is divisible by 5
139121
Evaluating $\int _0 ^1 x^k(\ln x)^m dx$ for integer $k$ and $m$
96700
How is $\dfrac1{(1-x)^5}=\sum_{n\geq0}{n+4\choose4}x^n$
112120
Find all primes of the form $2^{2^n} + 5$ for a nonnegative integer n
124440
Evaluate this power series
84147
Evaluating $\sum_{n=1}^\infty \frac{2^{2n-1}}{5^{n+1}}$
22029
Solving modular arithmetic questions
33735
The square of an integer is congruent to 0 or 1 mod 4
96237
$1^2 + 2^2 + 3^2 + \cdots + (n-1)^2 \equiv 0$ mod n iff $n \equiv \pm 1$ mod 6
117167
$3^{n+1}$ divides $2^{3^n}+1$
913
Evaluating $\sum_{n=0}^{\infty}{\sin^{3}\left(3^{n}\right) \over 3^{n}}$