List questions from elementary-number-theory

Published on 14 Apr 2026 - 8:35

51

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Units in $\mathbb{Z}/n\mathbb{Z}$ modulo a divisor $d|n$.

Published on 14 Apr 2026 - 12:12

305

Views

Showing $64$ divides $5^n-8n^2+4n-1$ without induction

Published on 17 Apr 2026 - 8:17

87

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Is it possible to construct modulo classes that cover the integers?

Published on 11 Apr 2026 - 1:21

292

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Prove that $16 ^ {2023} + 1$ is divisible by $17 ^ 2$.

Published on 16 Apr 2026 - 16:01

100

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Find all $a,b$ such that $\binom{a}{b}=126$

Published on 17 Apr 2026 - 6:24

73

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Prove that for all integers $r, s$ and $t$, that $\gcd(\gcd(r, s), t) = \gcd(r, \gcd(s, t))$.

Published on 17 Apr 2026 - 16:01

471

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Prove that $\{\gcd(12n + 3, 7n + 1) : n \in \Bbb Z\} = \{1, 3, 9\}.$

Published on 15 Apr 2026 - 19:03

1k

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Uniqueness of modular multiplicative inverse

Published on 14 Apr 2026 - 23:45

113

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An equation concerning perfect numbers

Published on 09 Apr 2026 - 23:33

135

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The different elements of $\mathbb{Z}/157\mathbb{Z}$

Published on 11 Apr 2026 - 0:43

1.6k

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Show that $n^{13} - n$ is divisible by 2, 3, 5, 7, 13

Published on 17 May 2026 - 3:55

99

Views

Prove that $\lfloor a\rfloor + \lfloor a+0.5\rfloor =\lfloor 2a\rfloor $ for every real number $a$.

Published on 16 Apr 2026 - 15:07

205

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Help solving this proof using Well Ordering Principle

Published on 11 May 2026 - 3:42

390

Views

A positive integer "modulo a sequence".

Published on 12 Apr 2026 - 0:37

List Question

Distributive law of greatest common divisors.

Units in $\mathbb{Z}/n\mathbb{Z}$ modulo a divisor $d|n$.

Showing $64$ divides $5^n-8n^2+4n-1$ without induction

Is it possible to construct modulo classes that cover the integers?

Prove that $16 ^ {2023} + 1$ is divisible by $17 ^ 2$.

Find all $a,b$ such that $\binom{a}{b}=126$

Prove that for all integers $r, s$ and $t$, that $\gcd(\gcd(r, s), t) = \gcd(r, \gcd(s, t))$.

Prove that $\{\gcd(12n + 3, 7n + 1) : n \in \Bbb Z\} = \{1, 3, 9\}.$

Uniqueness of modular multiplicative inverse

An equation concerning perfect numbers

The different elements of $\mathbb{Z}/157\mathbb{Z}$

Show that $n^{13} - n$ is divisible by 2, 3, 5, 7, 13

Prove that $\lfloor a\rfloor + \lfloor a+0.5\rfloor =\lfloor 2a\rfloor $ for every real number $a$.

Help solving this proof using Well Ordering Principle

A positive integer "modulo a sequence".

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