List questions from elementary-number-theory

Published on 18 Apr 2026 - 22:59

57

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equality of LCM

Published on 14 Apr 2026 - 23:33

107

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Find $n$ numbers that differences are all the integers between $ \frac{-n(n-1)}{2} $, $\frac{n(n-1)}{2}$

Published on 23 Apr 2026 - 19:33

62

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Around the equation $4\,\varphi \left(2^{n-1} \sigma(n)\right) ^2=2^{\sigma(n)}\cdot\varphi(n)^2$

Published on 17 Apr 2026 - 11:42

48

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How to esimate $X^{c}/c - \sum_{1 \leq t \leq X} t^{c-1}$

Published on 13 Apr 2026 - 19:46

156

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Infinitely many primes $p$ such that $\frac{p-1}{2}$ is a product of two primes

Published on 23 Apr 2026 - 8:47

53

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Congruence and modular arithmetics

Published on 17 Apr 2026 - 13:39

61

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The remainder can be negative?

Published on 13 Apr 2026 - 11:39

99

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Infinitely many primes $p$ such that $\frac{p-1}{2}$ is prime

Published on 16 Apr 2026 - 12:11

89

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What is the remainder of $1!+2!+...+ (10^{10})! \mod40$?

Published on 15 Apr 2026 - 22:49

68

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Lucas Reciprocity Laws

Published on 29 Apr 2026 - 12:25

620

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Why Multiplication of zero by any number is zero?

Published on 15 Apr 2026 - 5:05

66

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A first encounter with the diophantine equations $P(x)=p_n\#$, where $P(X)\in\mathbb{Z}[X]$ has $\deg(P)=2$ and $p_n\#$ is a primorial: an example

Published on 23 Apr 2026 - 10:16

2.2k

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Proof that squares are divisible by 3 when their sum is

Published on 08 Apr 2026 - 23:51

102

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Are there infinitely many primes of the form $2\,m^{\operatorname{gpf}(m)}+1$ when $m$ runs over positive integers?

Published on 16 Apr 2026 - 7:04

List Question

Modular Arithmetic and the Distributive Property

equality of LCM

Find $n$ numbers that differences are all the integers between $ \frac{-n(n-1)}{2} $, $\frac{n(n-1)}{2}$

Around the equation $4\,\varphi \left(2^{n-1} \sigma(n)\right) ^2=2^{\sigma(n)}\cdot\varphi(n)^2$

How to esimate $X^{c}/c - \sum_{1 \leq t \leq X} t^{c-1}$

Infinitely many primes $p$ such that $\frac{p-1}{2}$ is a product of two primes

Congruence and modular arithmetics

The remainder can be negative?

Infinitely many primes $p$ such that $\frac{p-1}{2}$ is prime

What is the remainder of $1!+2!+...+ (10^{10})! \mod40$?

Lucas Reciprocity Laws

Why Multiplication of zero by any number is zero?

A first encounter with the diophantine equations $P(x)=p_n\#$, where $P(X)\in\mathbb{Z}[X]$ has $\deg(P)=2$ and $p_n\#$ is a primorial: an example

Proof that squares are divisible by 3 when their sum is

Are there infinitely many primes of the form $2\,m^{\operatorname{gpf}(m)}+1$ when $m$ runs over positive integers?

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