Question

Conjecture on a stronger form of Chinese Remainder Theorem (on ideals): $\prod_{i=1}^m A_i+\prod_{i=m+1}^n A_i\overset{?}{=}R$?

score 179 · Answer 1 · 2024-01-21 13:02:30

179

Views

Conjecture on a stronger form of Chinese Remainder Theorem (on ideals): $\prod_{i=1}^m A_i+\prod_{i=m+1}^n A_i\overset{?}{=}R$?

Published on 21 Jan 2024 - 13:02

score 632 · Answer 2 · 2024-02-05 02:32:42

632

Views

A confusion in understanding a solution to a number theory problem

Published on 05 Feb 2024 - 2:32

score 84 · Answer 3 · 2024-02-24 18:01:05

84

Views

"Converse" to Chinese Remainder Theorem

Published on 24 Feb 2024 - 18:01

score 23 · Answer 4 · 2024-03-03 13:22:23

23

Views

reverse construction chinese remainder theorem

Published on 03 Mar 2024 - 13:22

score 58 · Answer 5 · 2026-03-25 23:36:33

58

Views

Chinese Remainder Theorem and ideals generated in localizations

Published on 25 Mar 2026 - 23:36

score 60 · Answer 6 · 2026-03-29 07:37:27

60

Views

Find $n \in N$ where $133^5 + 110^5 + 84^5 + 27^5 = n^5$

Published on 29 Mar 2026 - 7:37

score 33 · Answer 7 · 2024-03-15 18:11:29

33

Views

How do you solve a system of linear congruences with moduli that are not relatively prime to each other?

Published on 15 Mar 2024 - 18:11

score 40 · Answer 8 · 2024-03-17 17:36:52

40

Views

Question about sum of indices of prime factorisation of consecutive numbers that might be solved via Chinese remainder theorem?

Published on 17 Mar 2024 - 17:36

score 26 · Answer 9 · 2024-03-18 19:20:37

26

Views

The Modular Part Method (System of congruences)

Published on 18 Mar 2024 - 19:20

score 36 · Answer 10 · 2024-03-19 12:07:11

36

Views

Stationary sequence of orders in $(\mathbb{Z}/p^n\mathbb{Z})^\ast$

Published on 19 Mar 2024 - 12:07

score 118 · Answer 11 · 2024-03-23 13:17:30

118

Views

Given a tuple of $k$ distinct integers, is there a generator list in a $\mathbb{Z}/n\mathbb{Z}$ that matches the tuple?

Published on 23 Mar 2024 - 13:17

score 84 · Answer 12 · 2024-03-24 13:59:35

84

Views

Why must the order of $7$ either be $5$ or $10$ in $\mathbb{Z}_{11}^*$?

Published on 24 Mar 2024 - 13:59

score 94 · Answer 13 · 2026-03-27 15:19:03

94

Views

Minimum $k$ for which every positive integer of the interval $(kn, (k+1)n)$ is divisible by at least one prime number less than $n$

Published on 27 Mar 2026 - 15:19

score 31 · Answer 14 · 2024-03-28 20:06:23

31

Views

If $x\equiv0\pmod a$ and $x\equiv k\pmod b$, is there a simple expression for $x \pmod {ab}$?

Published on 28 Mar 2024 - 20:06

score 54 · Answer 15 · 2026-02-23 07:25:13

54

Views

How to show that gcd of two quasiperiods is a quasiperiod?

Published on 23 Feb 2026 - 7:25

List Question

Conjecture on a stronger form of Chinese Remainder Theorem (on ideals): $\prod_{i=1}^m A_i+\prod_{i=m+1}^n A_i\overset{?}{=}R$?

A confusion in understanding a solution to a number theory problem

"Converse" to Chinese Remainder Theorem

reverse construction chinese remainder theorem

Chinese Remainder Theorem and ideals generated in localizations

Find $n \in N$ where $133^5 + 110^5 + 84^5 + 27^5 = n^5$

How do you solve a system of linear congruences with moduli that are not relatively prime to each other?

Question about sum of indices of prime factorisation of consecutive numbers that might be solved via Chinese remainder theorem?

The Modular Part Method (System of congruences)

Stationary sequence of orders in $(\mathbb{Z}/p^n\mathbb{Z})^\ast$

Given a tuple of $k$ distinct integers, is there a generator list in a $\mathbb{Z}/n\mathbb{Z}$ that matches the tuple?

Why must the order of $7$ either be $5$ or $10$ in $\mathbb{Z}_{11}^*$?

Minimum $k$ for which every positive integer of the interval $(kn, (k+1)n)$ is divisible by at least one prime number less than $n$

If $x\equiv0\pmod a$ and $x\equiv k\pmod b$, is there a simple expression for $x \pmod {ab}$?

How to show that gcd of two quasiperiods is a quasiperiod?

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