Prove of the modular equation $(n^3 - n) (mod\;24) = 0$ with induction
17965
Prove 24 divides $u^3-u$ for all odd natural numbers $u$
44940
Proving by induction that $1^3 + 2^3 + 3^3 + \ldots + n^3 = \left[\frac{n(n+1)}{2}\right]^2$
30045
Solving linear congruences by hand: modular fractions and inverses
110703
How Can I prove (a+b) mod m = (a mod m) + (b mod m)) mod m?
46780
Proving $((a\bmod n) (b\bmod n))\bmod n = ab\bmod n $
148330
Induction Proof for $F_{2n} = F^2_{n+1} - F^2_{n-1}$
55428
Inductive proof of $a_n = 3*2^{n-1} + 2(-1)^n$ if $a_n = a_{n-1} + 2*a_{n-2}, a_1 = 1, a_2 = 8$
26301
Prove that $x^3 \equiv x \bmod 6$ for all integers $x$
125618
Prove $2^{3^n}+1 $ is a multiple of $3^{n+1}$ by induction
139
Prove or disprove: For every integer a, if a is not congruent to 0 (mod 3), the a^2 is congruent to 1 (mod 3)
33757
For what natural numbers is $n^3 < 2^n$? Prove by induction
85941
Proof by induction that $n^3 - n$ is divisible by $6$
113119
Use the division algorithm to prove that 3|(n³ + 2n) for all n ∈ ℕ
60305
Proving the congruence $p^{q-1}+q^{p-1} \equiv 1 \pmod{pq}$
141371
Prove that $\alpha^n+\beta^n+\gamma^n \equiv 4^n+5^n+(-6)^n \pmod{17}$
35504
The Diophantine equation $x^2 + 2 = y^3$
79657
Prove by induction $\sum_{i=1}^ni^3=\frac{n^2(n+1)^2}{4}$ for $n\ge1$