probability of divisibility by $5$
120290
Probability that $7^m+7^n$ is divisible by $5$
48622
Given an integer $a$, suppose $d=\gcd(3a+5,\,5a+7)>2$. Determine $d$.
91178
chain of divisibility relation
39716
Prove that $8(5)^n + 6(3)^{2n} - 80n - 14$ is divisible by $512$ for all $n \in \mathbb{N}$ by induction.
120227
Proving $6^n - 1$ is always divisible by $5$ by induction
34315
Rational, integers and probability
60615
Product of $5$ consecutive integers cannot be perfect square
132175
How many $5$-digit numbers with distinct digits are divisible by 3 (and generalize)
85959
How do I prove that among any $5$ integers, you are able to find $3$ such that their sum is divisible by $3$?
33862
Probability that the student can solve 5 of 7 problems on the exam
34155
Probability Problem with $n$ keys
59135
What is the proof of divisibility by $13$?
98963
Prove that neither $A$ nor $B$ is divisible by $5$
96700
How is $\dfrac1{(1-x)^5}=\sum_{n\geq0}{n+4\choose4}x^n$
75733
Divisibility of prime numbers
51638
pigeonhole principle divisibility proof
74523
Proof by Cases involving divisibility