Question

Square roots in $\mathbb{Z}^{*}_{p^2}$

score 52 · Answer 1 · 2019-01-07 11:25:23

52

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Square roots in $\mathbb{Z}^{*}_{p^2}$

Published on 07 Jan 2019 - 11:25

score 399 · Answer 2 · 2026-03-25 10:35:40

399

Views

Given 2 is primitive root (mod p), showing that every non-zero element of Z(p) is expressable as power of [2] (mod p)

Published on 25 Mar 2026 - 10:35

score 699 · Answer 3 · 2019-01-08 10:42:59

699

Views

No. of ways for $(((n \mod i) \mod j) \mod k) \mod n$

Published on 08 Jan 2019 - 10:42

score 83 · Answer 4 · 2026-03-26 09:20:44

83

Views

When can $\,x\bmod m\,$ be computed from $\,x\bmod n?$

Published on 26 Mar 2026 - 9:20

score 137 · Answer 5 · 2019-01-08 18:24:06

137

Views

Splitting the mod value

Published on 08 Jan 2019 - 18:24

score 237 · Answer 6 · 2019-01-08 22:13:19

237

Views

Congruences mod p#

Published on 08 Jan 2019 - 22:13

score 181 · Answer 7 · 2019-01-09 02:48:19

181

Views

What is the remainder of $1^1$+$2^2$+$3^3$+...+$2020^{2020}$ if divided by 10? (Without Calculator)

Published on 09 Jan 2019 - 2:48

score 462 · Answer 8 · 2026-03-26 09:26:27

462

Views

Rank of an integer matrix modulo a prime

Published on 26 Mar 2026 - 9:26

score 111 · Answer 9 · 2019-01-09 23:42:14

111

Views

Can the order of $2$ $mod {}$ an odd number that is a factor of $p-1$ be a multiple of the order of $2$ $mod$ $p$?

Published on 09 Jan 2019 - 23:42

score 63 · Answer 10 · 2019-01-10 02:59:04

63

Views

For which $m$ does $ab\equiv -1\pmod{m}$ imply $a+b\equiv 0\pmod{m}$ for positive integers $a$ and $b$?

Published on 10 Jan 2019 - 2:59

score 646 · Answer 11 · 2026-03-25 14:02:22

646

Views

Algorithm for finding the smallest integer that satisfies several modular congruence conditions?

Published on 25 Mar 2026 - 14:02

score 1.1k · Answer 12 · 2019-01-11 16:15:24

1.1k

Views

Prove a case of Dirichlet's Theorem: that there are infinitely many primes of the form $8k+1$

Published on 11 Jan 2019 - 16:15

score 749 · Answer 13 · 2019-01-11 16:30:05

749

Views

Congruence multiplication property

Published on 11 Jan 2019 - 16:30

score 134 · Answer 14 · 2019-01-11 16:42:55

134

Views

How to compute an average in a modular arithmetics?

Published on 11 Jan 2019 - 16:42

score 505 · Answer 15 · 2026-03-28 15:36:00

505

Views

Is there a simple formula for $\binom{2n}{n} \pmod{n^3}$?

Published on 28 Mar 2026 - 15:36

List Question

Square roots in $\mathbb{Z}^{*}_{p^2}$

Given 2 is primitive root (mod p), showing that every non-zero element of Z(p) is expressable as power of [2] (mod p)

No. of ways for $(((n \mod i) \mod j) \mod k) \mod n$

When can $\,x\bmod m\,$ be computed from $\,x\bmod n?$

Splitting the mod value

Congruences mod p#

What is the remainder of $1^1$+$2^2$+$3^3$+...+$2020^{2020}$ if divided by 10? (Without Calculator)

Rank of an integer matrix modulo a prime

Can the order of $2$ $mod {}$ an odd number that is a factor of $p-1$ be a multiple of the order of $2$ $mod$ $p$?

For which $m$ does $ab\equiv -1\pmod{m}$ imply $a+b\equiv 0\pmod{m}$ for positive integers $a$ and $b$?

Algorithm for finding the smallest integer that satisfies several modular congruence conditions?

Prove a case of Dirichlet's Theorem: that there are infinitely many primes of the form $8k+1$

Congruence multiplication property

How to compute an average in a modular arithmetics?

Is there a simple formula for $\binom{2n}{n} \pmod{n^3}$?

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