Question

Replacing mod in equation

score 201 · Answer 1 · 2018-12-25 10:49:41

201

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Replacing mod in equation

Published on 25 Dec 2018 - 10:49

score 414 · Answer 2 · 2026-03-27 19:44:34

414

Views

How to find the root of the polynomial $x^2+x+1$ over $\mathbb{Z}_2$ in this field?

Published on 27 Mar 2026 - 19:44

score 483 · Answer 3 · 2026-03-27 07:19:47

483

Views

Prove that $n^{n-1} - 1$ is divisible by $(n-1)^2$

Published on 27 Mar 2026 - 7:19

score 61 · Answer 4 · 2026-03-27 08:49:34

61

Views

Proving expressions mod 13

Published on 27 Mar 2026 - 8:49

score 1.7k · Answer 5 · 2018-12-26 13:48:55

1.7k

Views

Do the parentheses around modulo matter

Published on 26 Dec 2018 - 13:48

score 142 · Answer 6 · 2018-12-26 16:47:52

142

Views

Find all integers $a$ that satisfy $c \equiv a \pmod{ab+1}$

Published on 26 Dec 2018 - 16:47

score 197 · Answer 7 · 2018-12-27 05:40:13

197

Views

What's $1^3+2^3+3^3+\cdots+99^3$ modulo $3$?

Published on 27 Dec 2018 - 5:40

score 64 · Answer 8 · 2026-03-27 14:59:09

About the equivalence relation on $\mathbb{Z}\times\mathbb{Z}\,$ s.t. $(a,b)\sim(c,d)\,$ if $\,2^{a^2+d^2}\equiv 2^{b^2+c^2} (\text{mod} \, 5)$

score 40 · Answer 9 · 2026-03-28 03:27:38

40

Views

Is it possible to find a solution to the following $(x(b+x) + c - f) \mod (2x+2) = 0$

Published on 28 Mar 2026 - 3:27

score 243 · Answer 10 · 2018-12-28 17:00:23

243

Views

If $a$ has order 3 $\pmod p$, $p$ prime, then $1+a+a^2 \equiv 0 \pmod p$ and $1+a$ has order $6$

Published on 28 Dec 2018 - 17:00

score 96 · Answer 11 · 2018-12-28 23:15:26

96

Views

For what values of n (where n is a natural number) is this statement true: $3^n - n - 1 ≡ 0\pmod5$

Published on 28 Dec 2018 - 23:15

score 629 · Answer 12 · 2018-12-29 02:59:22

629

Views

Modular Arithmetic: solving a quadratic equation with a variable in the modulus

Published on 29 Dec 2018 - 2:59

score 109 · Answer 13 · 2026-03-25 14:07:57

109

Views

exist $x$ such that $x^k \equiv m$ mod $(p_1\cdot p_2) \Leftrightarrow $ exists $x_1,x_2$ : $x_1^k\equiv m(p_1)$ and $x_2^k\equiv m(p_2)$

Published on 25 Mar 2026 - 14:07

score 489 · Answer 14 · 2018-12-29 11:52:41

489

Views

Prove $\sum_{n = 1}^{p - 1} n^{p - 1} \equiv (p - 1)! + p \pmod {p^2}$ for $p$ being an odd prime

Published on 29 Dec 2018 - 11:52

score 80 · Answer 15 · 2018-12-29 21:03:48

80

Views

How to use modular arithmetic for $a^b-1 $

Published on 29 Dec 2018 - 21:03

List Question

Replacing mod in equation

How to find the root of the polynomial $x^2+x+1$ over $\mathbb{Z}_2$ in this field?

Prove that $n^{n-1} - 1$ is divisible by $(n-1)^2$

Proving expressions mod 13

Do the parentheses around modulo matter

Find all integers $a$ that satisfy $c \equiv a \pmod{ab+1}$

What's $1^3+2^3+3^3+\cdots+99^3$ modulo $3$?

About the equivalence relation on $\mathbb{Z}\times\mathbb{Z}\,$ s.t. $(a,b)\sim(c,d)\,$ if $\,2^{a^2+d^2}\equiv 2^{b^2+c^2} (\text{mod} \, 5)$

Is it possible to find a solution to the following $(x(b+x) + c - f) \mod (2x+2) = 0$

If $a$ has order 3 $\pmod p$, $p$ prime, then $1+a+a^2 \equiv 0 \pmod p$ and $1+a$ has order $6$

For what values of n (where n is a natural number) is this statement true: $3^n - n - 1 ≡ 0\pmod5$

Modular Arithmetic: solving a quadratic equation with a variable in the modulus

exist $x$ such that $x^k \equiv m$ mod $(p_1\cdot p_2) \Leftrightarrow $ exists $x_1,x_2$ : $x_1^k\equiv m(p_1)$ and $x_2^k\equiv m(p_2)$

Prove $\sum_{n = 1}^{p - 1} n^{p - 1} \equiv (p - 1)! + p \pmod {p^2}$ for $p$ being an odd prime

How to use modular arithmetic for $a^b-1 $

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