List questions from modular-arithmetic

Published on 16 Apr 2026 - 19:33

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All integer solutions of $x^3-y^3=2020$.

Published on 16 Apr 2026 - 22:28

173

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Prove that there are infinitely many integers that are not of the form $n^3+2m^2$ for integers $m,n$. (Hint: Consider the situation modulo 8).

Published on 16 Apr 2026 - 0:43

353

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Does order of operations and computing modulo matter?

Published on 11 Apr 2026 - 22:18

255

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Irreducible elements mod $n$

Published on 15 Apr 2026 - 20:03

21

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Find $ 560^{48} (mod 1001)$?

Published on 17 Apr 2026 - 12:03

1.9k

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Why can I cancel in modular arithmetic?

Published on 12 Apr 2026 - 4:50

188

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Understanding a specific method for applying the Chinese Remainder Theorem and its implications with regard to the lower bound of a solution

Published on 11 Apr 2026 - 20:00

54

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How to combine partial relations for multiple polynomial quadratic sieve?

Published on 10 Apr 2026 - 22:27

53

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Modular arithmetic: congruence equation problem

Published on 09 Apr 2026 - 19:13

277

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Alternative proofs that the multiplicative group $(\mathbb{Z}/p\mathbb{Z})^*$ is cyclic

Published on 12 Apr 2026 - 0:44

183

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An alternate motivation 1988 IMO question #6 (the infamous one)

Published on 13 Apr 2026 - 16:46

1k

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Use the Chinese Remainder Theorem to determine the value of $x$.

Published on 11 Apr 2026 - 21:20

649

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Modulo operation with floor function

Published on 10 Apr 2026 - 9:17

1.4k

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Understanding units mod $n$ are relatively prime to $n$

Published on 23 Apr 2026 - 15:10

List Question

If $n \equiv 1\text{ (mod 3)}$ and $n \equiv 3 \text{ (mod 7)},$ what is $n$?

All integer solutions of $x^3-y^3=2020$.

Prove that there are infinitely many integers that are not of the form $n^3+2m^2$ for integers $m,n$. (Hint: Consider the situation modulo 8).

Does order of operations and computing modulo matter?

Irreducible elements mod $n$

Find $ 560^{48} (mod 1001)$?

Why can I cancel in modular arithmetic?

Understanding a specific method for applying the Chinese Remainder Theorem and its implications with regard to the lower bound of a solution

How to combine partial relations for multiple polynomial quadratic sieve?

Modular arithmetic: congruence equation problem

Alternative proofs that the multiplicative group $(\mathbb{Z}/p\mathbb{Z})^*$ is cyclic

An alternate motivation 1988 IMO question #6 (the infamous one)

Use the Chinese Remainder Theorem to determine the value of $x$.

Modulo operation with floor function

Understanding units mod $n$ are relatively prime to $n$

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