Which of the following will give a remainder of 1?
360
Modular exponentiation by hand ($a^b\bmod c$)
107848
Finding the remainder of $\overbrace{11\ldots1}^{123 \text{ times}}$ divided by $271$
78946
Why does casting out $9$ and $11$ work to compute remainders?
58803
${n \choose k} \bmod m$ using Chinese remainder theorem?
84733
Why $a\equiv b\pmod n$ implies $a$ and $b$ have equal remainder when divided by $n$?
101385
Congruent iff Same Remainder (CISR) Confusion
7043
mod [= remainder] operation (and relation), name and meaning
125512
Doubt regarding divisibility of the expression: $1^{101}+2^{101} \cdot \cdot \cdot +2016^{101}$
128749
Taylor's Remainder $x-\frac{x^2}{2}+\frac{x^3}{3(1+x)}<\log(1+x) <x-\frac{x^2}{2}+\frac{x^3}{3}$
115264
Find when three numbers have the same remainder when divided by the same number
2300
Determine the remainder when $f(x) = 3x^5 - 5x^2 + 4x + 1$ is divided by $(x-1)(x+2)$
30725
Why are naturals < modulus equal if congruent? [uniqueness of remainder]
39908
Finding the error in this proof that 1=2
68960
How to solve $ 13x \equiv 1 ~ (\text{mod} ~ 17) $?
156956
Give the remainder of $x^{100}$ divided by $(x-2)(x-1)$.
134450
Chinese Remainder Theorem $\ x\equiv m_k-2\pmod{m_k}$
17243
Remainder when $2009^{2009}-1982^{2009}-1972^{2009}+1945^{2009}$ is divided by $1998$