List questions from elementary-number-theory

Published on 13 Apr 2026 - 16:38

104

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Find the smallest number such that when you divide with $4,6,8,10,12$ the remainder is $2,4,6,8,10$

Published on 13 Apr 2026 - 4:14

141

Views

Existence of only finitely many solutions

Published on 11 Apr 2026 - 16:07

78

Views

question on 'divides'

Published on 09 Apr 2026 - 6:48

2.1k

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Using the Well Ordering Principle to Show that n^3 - n is divisible by 6.

Published on 22 Apr 2026 - 19:40

362

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Find the smallest positive odd integer n such that φ(n)/n = 7680/12121

Published on 11 May 2026 - 8:32

273

Views

General way of solve $ax^2+by+c=0$

Published on 14 Apr 2026 - 1:40

480

Views

Verify my proof for "For every $n, q$, where $n,q \in Z^+, n\geq 2, \sum_{i=1}^n\frac1n\neq q$". [$n^{th}$ harmonic number is never an integer]

Published on 10 May 2026 - 16:13

77

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Determine the remainder

Published on 15 Apr 2026 - 6:50

323

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How to prove $\sum_{d\mid q}\frac{\mu(d)\log d}{d}=-\frac{\phi(q)}{q}\sum_{p\mid q}\frac{\log p}{p-1}$?

Published on 10 May 2026 - 14:32

1.1k

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Making modular arithmetic interesting for school kids

Published on 08 Apr 2026 - 23:38

1.4k

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Find all integer solutions m,n such that ${3^m}-{7^n}=2$.

Published on 16 Apr 2026 - 13:03

767

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If $\phi(m) = \phi(mn)$ and $n \gt 1$, prove that $n = 2$ and $m$ is odd

Published on 17 Apr 2026 - 13:19

224

Views

Sum of divisors mod 8

Published on 11 May 2026 - 5:03

90

Views

Coefficients of the expansion of $\prod_{i=1}^k(x+i)$

Published on 15 Apr 2026 - 13:39

List Question

How to solve $a x \equiv 1 \pmod{b y}$?

Find the smallest number such that when you divide with $4,6,8,10,12$ the remainder is $2,4,6,8,10$

Existence of only finitely many solutions

question on 'divides'

Using the Well Ordering Principle to Show that n^3 - n is divisible by 6.

Find the smallest positive odd integer n such that φ(n)/n = 7680/12121

General way of solve $ax^2+by+c=0$

Verify my proof for "For every $n, q$, where $n,q \in Z^+, n\geq 2, \sum_{i=1}^n\frac1n\neq q$". [$n^{th}$ harmonic number is never an integer]

Determine the remainder

How to prove $\sum_{d\mid q}\frac{\mu(d)\log d}{d}=-\frac{\phi(q)}{q}\sum_{p\mid q}\frac{\log p}{p-1}$?

Making modular arithmetic interesting for school kids

Find all integer solutions m,n such that ${3^m}-{7^n}=2$.

If $\phi(m) = \phi(mn)$ and $n \gt 1$, prove that $n = 2$ and $m$ is odd

Sum of divisors mod 8

Coefficients of the expansion of $\prod_{i=1}^k(x+i)$

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