Question

Prove that $G$ be a group under $\oplus$ that defined by $\bar{a} \oplus \bar{b} = \bar{a} \times_7 \bar{b} +_7 \bar{a} +_7 \bar{b}$.

score 98 · Answer 1 · 2026-04-15 19:57:16

98

Views

Prove that $G$ be a group under $\oplus$ that defined by $\bar{a} \oplus \bar{b} = \bar{a} \times_7 \bar{b} +_7 \bar{a} +_7 \bar{b}$.

Published on 15 Apr 2026 - 19:57

score 84 · Answer 2 · 2026-04-15 04:18:36

84

Views

Out of curiosity: what is the relation between a number and its equivalence class?

Published on 15 Apr 2026 - 4:18

score 77 · Answer 3 · 2026-04-09 11:36:07

77

Views

how can i get $f(x)$ from equation with modular

Published on 09 Apr 2026 - 11:36

score 29 · Answer 4 · 2026-04-17 01:19:18

29

Views

Prove $(M^e \pmod n)^d \pmod n = M^{ed} \pmod n$?

Published on 17 Apr 2026 - 1:19

score 44 · Answer 5 · 2026-04-16 16:21:46

44

Views

Find $a$ in $a^2 \equiv 1 \pmod b$ given $b$ where $a < b-1$

Published on 16 Apr 2026 - 16:21

score 96 · Answer 6 · 2026-04-16 02:56:38

96

Views

What is the remainder of dividing the $P(x)$ polynomial by $x^2+1$?

Published on 16 Apr 2026 - 2:56

score 82 · Answer 7 · 2026-04-13 17:38:42

82

Views

What pairs of x and y give a multiple of 1000?

Published on 13 Apr 2026 - 17:38

score 565 · Answer 8 · 2026-04-12 13:40:32

565

Views

Get back original value after some modular arithmetic

Published on 12 Apr 2026 - 13:40

score 394 · Answer 9 · 2026-04-12 18:30:29

394

Views

Square root property of congruences

Published on 12 Apr 2026 - 18:30

score 47 · Answer 10 · 2026-04-16 22:27:45

47

Views

Let $d$ such that $d|p-1$ and $p$ prime. If $\psi(d)$ is the number of elements of order $d $. Show that $\sum_{c|d}\psi(c)=d$

Published on 16 Apr 2026 - 22:27

score 93 · Answer 11 · 2026-04-16 21:09:21

93

Views

Find $144^3$ mod $213$

Published on 16 Apr 2026 - 21:09

score 52 · Answer 12 · 2026-03-25 23:13:03

52

Views

Let $k\ge2$ and p an odd prime number. If $g^{p-1}\equiv1[p]$ and $g^{p-1} \not\equiv 1 [p^2]$ then $g^{p^k-1} \equiv 1[p^k]$

Published on 25 Mar 2026 - 23:13

score 277 · Answer 13 · 2026-04-16 08:17:58

277

Views

Solve $660x\equiv 1$ mod $43$

Published on 16 Apr 2026 - 8:17

score 67 · Answer 14 · 2026-04-13 22:01:59

67

Views

Modulus arithmetic / multiplicative order question

Published on 13 Apr 2026 - 22:01

score 69 · Answer 15 · 2026-04-14 00:40:29

69

Views

What definition and properties does the notation $ A \equiv B \mod (n, f(x))$ have?

Published on 14 Apr 2026 - 0:40

List Question

Prove that $G$ be a group under $\oplus$ that defined by $\bar{a} \oplus \bar{b} = \bar{a} \times_7 \bar{b} +_7 \bar{a} +_7 \bar{b}$.

Out of curiosity: what is the relation between a number and its equivalence class?

how can i get $f(x)$ from equation with modular

Prove $(M^e \pmod n)^d \pmod n = M^{ed} \pmod n$?

Find $a$ in $a^2 \equiv 1 \pmod b$ given $b$ where $a < b-1$

What is the remainder of dividing the $P(x)$ polynomial by $x^2+1$?

What pairs of x and y give a multiple of 1000?

Get back original value after some modular arithmetic

Square root property of congruences

Let $d$ such that $d|p-1$ and $p$ prime. If $\psi(d)$ is the number of elements of order $d $. Show that $\sum_{c|d}\psi(c)=d$

Find $144^3$ mod $213$

Let $k\ge2$ and p an odd prime number. If $g^{p-1}\equiv1[p]$ and $g^{p-1} \not\equiv 1 [p^2]$ then $g^{p^k-1} \equiv 1[p^k]$

Solve $660x\equiv 1$ mod $43$

Modulus arithmetic / multiplicative order question

What definition and properties does the notation $ A \equiv B \mod (n, f(x))$ have?

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