List questions from chinese-remainder-theorem

Published on 25 Mar 2013 - 5:02

605

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Can the Chinese Remainder Theorem extend to an infinite number of moduli?

Published on 03 Aug 2020 - 21:31

69

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Give an example of a polynomial $p(x)\in\mathbb{R}[x]$ such that the quotient ring $\mathbb{R}[x]/(p(x))$ is not a product of fields.

Published on 10 Aug 2020 - 1:34

149

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Solving two modular equations using the chinese remainder theorem

Published on 14 Aug 2020 - 18:48

301

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Understanding surjectivity in Chinese Remainder Theorem Proof

Published on 27 Mar 2026 - 2:07

195

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Finding remainder of $123^{456}$ divided by 88 using Chinese Remainder Theorem

Published on 28 Aug 2020 - 12:21

134

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Fermat's Little Theorem & Chinese Remainder Theorem Problem

Published on 23 Feb 2026 - 5:18

269

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Using Chinese Remainder Theorem when moduli are not pairwise relatively prime

Published on 03 Sep 2020 - 7:06

79

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Proof verification: Find the number of positive integer between $1$ and $300$ that satisfies the given linear congruences.

Published on 07 Sep 2020 - 7:39

1.6k

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A puzzle involving $10$-adic numbers

Published on 12 Sep 2020 - 15:58

1.1k

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Strong approximation theorem and Chinese remainder theorem

Published on 28 Mar 2026 - 12:13

58

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For what integer values $a$ does the system of congruences have at least one solution?

Published on 20 Sep 2020 - 9:45

99

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Chinese Remainder Theorem with sets of residues?

Published on 23 Sep 2020 - 21:38

29

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CRT not yielding smallest possible x?

Published on 24 Sep 2020 - 6:45

76

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Writing numbers as a sum of cubes and an application of CRT

Published on 24 Sep 2020 - 9:56

List Question

Solving Chinese Remainder Theorem

Can the Chinese Remainder Theorem extend to an infinite number of moduli?

Give an example of a polynomial $p(x)\in\mathbb{R}[x]$ such that the quotient ring $\mathbb{R}[x]/(p(x))$ is not a product of fields.

Solving two modular equations using the chinese remainder theorem

Understanding surjectivity in Chinese Remainder Theorem Proof

Finding remainder of $123^{456}$ divided by 88 using Chinese Remainder Theorem

Fermat's Little Theorem & Chinese Remainder Theorem Problem

Using Chinese Remainder Theorem when moduli are not pairwise relatively prime

Proof verification: Find the number of positive integer between $1$ and $300$ that satisfies the given linear congruences.

A puzzle involving $10$-adic numbers

Strong approximation theorem and Chinese remainder theorem

For what integer values $a$ does the system of congruences have at least one solution?

Chinese Remainder Theorem with sets of residues?

CRT not yielding smallest possible x?

Writing numbers as a sum of cubes and an application of CRT

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