Question

Given that $5$ is a primitive root of $73$, find all solutions to $x^3 - 1 ≡ 0$ (mod $73$).

score 489 · Answer 1 · 2026-03-25 15:28:12

489

Views

Given that $5$ is a primitive root of $73$, find all solutions to $x^3 - 1 ≡ 0$ (mod $73$).

Published on 25 Mar 2026 - 15:28

score 39 · Answer 2 · 2026-03-28 09:13:11

39

Views

Solvability of a Diophantine equation in mod 8 class

Published on 28 Mar 2026 - 9:13

score 523 · Answer 3 · 2026-03-25 15:22:44

523

Views

For which primes p will there be a solution to $x^3 + 1 ≡ (\mod p) $other than $x ≡ - 1 (\mod p)$

Published on 25 Mar 2026 - 15:22

score 20 · Answer 4 · 2019-05-07 08:20:04

20

Views

Solving a system of congruence equations

Published on 07 May 2019 - 8:20

score 285 · Answer 5 · 2026-03-29 16:20:15

285

Views

Proof that $(X \mod 2^n) = X \textrm{ AND } (2^n - 1)$ for $n \geq 0$

Published on 29 Mar 2026 - 16:20

score 132 · Answer 6 · 2026-03-27 21:23:07

132

Views

Show that $a^3 - b^3 = c! - 18$ does not have a solution

Published on 27 Mar 2026 - 21:23

score 27 · Answer 7 · 2026-03-25 12:49:05

27

Views

Can this congruence be generalized to infinite groups?

Published on 25 Mar 2026 - 12:49

score 95 · Answer 8 · 2019-05-08 19:58:58

95

Views

Modular arithmetic in Rabin's cryptosystem

Published on 08 May 2019 - 19:58

score 43 · Answer 9 · 2026-03-28 05:23:25

43

Views

For all $n\in \mathbb{N}$, find the values for$\big( \sum_{i=1}^{n} (-1)^i i! \big) \mod 36$

Published on 28 Mar 2026 - 5:23

score 34 · Answer 10 · 2026-03-29 09:11:51

34

Views

How to find position of two endpoints given a distance to travel?

Published on 29 Mar 2026 - 9:11

score 1.4k · Answer 11 · 2019-05-09 08:53:46

1.4k

Views

Remainder using Modular Arithmetic

Published on 09 May 2019 - 8:53

score 509 · Answer 12 · 2019-05-09 15:27:58

509

Views

Proof that $ p^2 \equiv 1 \mod{30} \vee p^2 \equiv 19 \mod{30} $ for $p>5$

Published on 09 May 2019 - 15:27

score 467 · Answer 13 · 2019-05-09 16:10:42

467

Views

Show that $ ax + b = 0$ has integer solution

Published on 09 May 2019 - 16:10

score 48 · Answer 14 · 2019-05-09 17:23:50

48

Views

matrix elements correspondence

Published on 09 May 2019 - 17:23

score 140 · Answer 15 · 2019-05-09 23:11:52

140

Views

Fastest way to solve congruency equation

Published on 09 May 2019 - 23:11

List Question

Given that $5$ is a primitive root of $73$, find all solutions to $x^3 - 1 ≡ 0$ (mod $73$).

Solvability of a Diophantine equation in mod 8 class

For which primes p will there be a solution to $x^3 + 1 ≡ (\mod p) $other than $x ≡ - 1 (\mod p)$

Solving a system of congruence equations

Proof that $(X \mod 2^n) = X \textrm{ AND } (2^n - 1)$ for $n \geq 0$

Show that $a^3 - b^3 = c! - 18$ does not have a solution

Can this congruence be generalized to infinite groups?

Modular arithmetic in Rabin's cryptosystem

For all $n\in \mathbb{N}$, find the values for$\big( \sum_{i=1}^{n} (-1)^i i! \big) \mod 36$

How to find position of two endpoints given a distance to travel?

Remainder using Modular Arithmetic

Proof that $ p^2 \equiv 1 \mod{30} \vee p^2 \equiv 19 \mod{30} $ for $p>5$

Show that $ ax + b = 0$ has integer solution

matrix elements correspondence

Fastest way to solve congruency equation

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