List questions from modular-arithmetic

Published on 25 Jul 2014 - 19:18

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How to show $n(n+1)(2n+1) \equiv 0 \pmod 6$?

Published on 31 Mar 2026 - 10:10

62

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Simplifying the expression $l(m) = 2 m - (m \bmod 2^{n-1}).$

Published on 27 Jul 2014 - 17:15

54

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Given $m^2\bmod A$ and $m^2\bmod B$, how do you find $m^2 \bmod AB$?

Published on 28 Mar 2026 - 8:31

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Binomial Congruence Modulo a Prime

Published on 04 Apr 2026 - 1:59

1.4k

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$a\equiv\bar a\!\pmod{\!kn}\Rightarrow a\equiv\bar a\!\pmod{\! n};\ $ $(a\bmod kn)\bmod n=a\bmod n.\ $ Congruences persist mod factors of the modulus

Published on 30 Jul 2014 - 19:44

1k

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Why didn't Fermat provide proofs of his theorems?

Published on 06 Apr 2026 - 11:16

58

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Proof for a relation

Published on 29 Mar 2026 - 2:52

601

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Testing for Linear Independence/rank mod m

Published on 01 Aug 2014 - 4:57

127

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Non cyclic subgroup of $\mathbb{Z}_5$

Published on 03 Aug 2014 - 6:37

489

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Digit wise modulo for calculating power function for very very large positive integers

Published on 04 Aug 2014 - 11:37

136

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In $Z[x]$, which pairs of $a,b$ commute as modulo operators, such that ($c$ mod $a$) mod $b =$ ($c$ mod $b$) mod $a$ for every $c$?

Published on 05 Aug 2014 - 11:53

722

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Negative number modular positive number?

Published on 04 Aug 2014 - 12:34

3.8k

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How do you find the modular inverse of $5\pmod{\!11}$

Published on 07 Aug 2014 - 17:10

2.5k

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How to solve this modular equation? $x^{19} \equiv 36 \mod 97$.

Published on 07 Aug 2014 - 20:04

List Question

Converting infinite base-k expansions into base-j expansions

How to show $n(n+1)(2n+1) \equiv 0 \pmod 6$?

Simplifying the expression $l(m) = 2 m - (m \bmod 2^{n-1}).$

Given $m^2\bmod A$ and $m^2\bmod B$, how do you find $m^2 \bmod AB$?

Binomial Congruence Modulo a Prime

$a\equiv\bar a\!\pmod{\!kn}\Rightarrow a\equiv\bar a\!\pmod{\! n};\ $ $(a\bmod kn)\bmod n=a\bmod n.\ $ Congruences persist mod factors of the modulus

Why didn't Fermat provide proofs of his theorems?

Proof for a relation

Testing for Linear Independence/rank mod m

Non cyclic subgroup of $\mathbb{Z}_5$

Digit wise modulo for calculating power function for very very large positive integers

In $Z[x]$, which pairs of $a,b$ commute as modulo operators, such that ($c$ mod $a$) mod $b =$ ($c$ mod $b$) mod $a$ for every $c$?

Negative number modular positive number?

How do you find the modular inverse of $5\pmod{\!11}$

How to solve this modular equation? $x^{19} \equiv 36 \mod 97$.

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