Where can I read the rules on the algabraic manipulation needed to finish this inductive proof that $133$ divides $11^{k+1}+12^{2k-1}$?
15631
Show that $11^{n+1}+12^{2n-1}$ is divisible by $133$.
148330
Induction Proof for $F_{2n} = F^2_{n+1} - F^2_{n-1}$
107848
Finding the remainder of $\overbrace{11\ldots1}^{123 \text{ times}}$ divided by $271$
125512
Doubt regarding divisibility of the expression: $1^{101}+2^{101} \cdot \cdot \cdot +2016^{101}$
17609
Finding the remainder of $11^{2013}$ divided by $61$
60305
Proving the congruence $p^{q-1}+q^{p-1} \equiv 1 \pmod{pq}$
137369
Inductive proof of gcd Bezout identity (from Apostol: Math, Analysis 2ed)
6837
How to quotient $\mathbb Z [\sqrt{-11}] / (1+\sqrt{-11})$?
32391
Show that $x^2+x+4$ is irreducible over $\mathbb Z_{11}$.
7003
Inductive proof of a formula for Fibonacci numbers
55437
When does $2^{n}$ divide $3^{n}-1$
115866
Proof by induction; $a^n$ divides $b^n$ implies $a$ divides $b$
122711
Prove by induction that $n^3 + 11n$ is divisible by $6$ for every positive integer $n$.
101057
Show that $1^{p-1} + 2^{p-1} +\ldots + (p-1)^{p-1} \equiv -1 \mod p$
108550
Elements of $\mathbb Q(2^{1/3})$
92518
mod Distributive Law, factoring $\!\!\bmod\!\!:$ $\ ab\bmod ac = a(b\bmod c)$
142666
Algebric proof for the identity $n(n-1)2^{n-2}=\sum_{k=1}^n {k(k-1) {n \choose k}}$