Question

$p$ is Prime $p \geq 5$ $\implies$ $|\{n^2 \pmod p\mid n \in [0, p-1]\}| = \frac{p+1}{2}$

score 123 · Answer 1 · 2019-02-20 18:10:10

123

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$p$ is Prime $p \geq 5$ $\implies$ $|\{n^2 \pmod p\mid n \in [0, p-1]\}| = \frac{p+1}{2}$

Published on 20 Feb 2019 - 18:10

score 111 · Answer 2 · 2026-03-25 06:13:26

111

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Proving the divisibility of $4[(n-1)!+1]+n$ by $n(n+2)$ in the condition of $n,n+2 \in P$ where $P$ is the set of prime numbers

Published on 25 Mar 2026 - 6:13

score 734 · Answer 3 · 2026-03-25 15:40:07

734

Views

Chinese Remainder Theorem solvability criterion for noncoprime moduli

Published on 25 Mar 2026 - 15:40

score 859 · Answer 4 · 2026-03-26 04:52:15

859

Views

Can you please solve $7^{-1} \mod 480$ using extended Euclidean Algorithm?. Kindly show the steps till end

Published on 26 Mar 2026 - 4:52

score 71 · Answer 5 · 2026-03-27 11:49:11

71

Views

Prove that $a^2 \equiv 4 \mod 3^m$ if and only if $a \equiv 2 \mod 3^m$ or $a \equiv −2 \mod 3^m$

Published on 27 Mar 2026 - 11:49

score 91 · Answer 6 · 2026-03-27 17:52:35

91

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Finding out the remainder of $\frac{11^\text{10}-1}{100}$ using modulus

Published on 27 Mar 2026 - 17:52

score 29 · Answer 7 · 2019-02-22 18:11:47

29

Views

Can $((x+a) ^n \bmod (x^r-1)) \bmod n $ be reduced to $ a^n \bmod n + x^{n \bmod r}$?

Published on 22 Feb 2019 - 18:11

score 549 · Answer 8 · 2019-02-22 20:36:23

549

Views

Expected value and modulo

Published on 22 Feb 2019 - 20:36

score 164 · Answer 9 · 2019-02-22 21:27:47

164

Views

The congruence $ax \equiv 1 \mod 1$

Published on 22 Feb 2019 - 21:27

score 299 · Answer 10 · 2019-02-22 23:21:54

299

Views

Finding powers of 2 and 3 in modular arithmetic

Published on 22 Feb 2019 - 23:21

score 45 · Answer 11 · 2019-02-23 00:50:44

45

Views

Is it true that $x^{au} \equiv 1 \pmod p$ $\implies x^{u} \equiv 1 \pmod p$

Published on 23 Feb 2019 - 0:50

score 249 · Answer 12 · 2019-02-23 03:19:20

249

Views

How to tell whether function $x^a \mod{b}$ is bijective or not?

Published on 23 Feb 2019 - 3:19

score 140 · Answer 13 · 2026-03-30 19:42:22

140

Views

"New Year falls more often on Sundays than on Mondays"

Published on 30 Mar 2026 - 19:42

score 60 · Answer 14 · 2026-03-27 17:51:37

60

Views

Adding sum of leftmost digits

Published on 27 Mar 2026 - 17:51

score 240 · Answer 15 · 2026-03-26 06:17:28

240

Views

Square Root Mod

Published on 26 Mar 2026 - 6:17

List Question

$p$ is Prime $p \geq 5$ $\implies$ $|\{n^2 \pmod p\mid n \in [0, p-1]\}| = \frac{p+1}{2}$

Proving the divisibility of $4[(n-1)!+1]+n$ by $n(n+2)$ in the condition of $n,n+2 \in P$ where $P$ is the set of prime numbers

Chinese Remainder Theorem solvability criterion for noncoprime moduli

Can you please solve $7^{-1} \mod 480$ using extended Euclidean Algorithm?. Kindly show the steps till end

Prove that $a^2 \equiv 4 \mod 3^m$ if and only if $a \equiv 2 \mod 3^m$ or $a \equiv −2 \mod 3^m$

Finding out the remainder of $\frac{11^\text{10}-1}{100}$ using modulus

Can $((x+a) ^n \bmod (x^r-1)) \bmod n $ be reduced to $ a^n \bmod n + x^{n \bmod r}$?

Expected value and modulo

The congruence $ax \equiv 1 \mod 1$

Finding powers of 2 and 3 in modular arithmetic

Is it true that $x^{au} \equiv 1 \pmod p$ $\implies x^{u} \equiv 1 \pmod p$

How to tell whether function $x^a \mod{b}$ is bijective or not?

"New Year falls more often on Sundays than on Mondays"

Adding sum of leftmost digits

Square Root Mod

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