Question

A Criteria of Diophantine Equations on one variable, Is it wrong?

score 43 · Answer 1 · 2026-04-12 00:35:13

43

Views

A Criteria of Diophantine Equations on one variable, Is it wrong?

Published on 12 Apr 2026 - 0:35

score 99 · Answer 2 · 2026-04-15 16:18:18

99

Views

About $ \beta_a^b(n) = \sum_{i=2}^n (-a)^{\omega(i)} \space \omega(i)^b $ where $\omega$ is prime omega function.

Published on 15 Apr 2026 - 16:18

score 130 · Answer 3 · 2026-04-11 00:04:51

130

Views

A Proposition related to Fermat Factorization Method

Published on 11 Apr 2026 - 0:04

score 30 · Answer 4 · 2026-04-16 14:24:32

30

Views

Prove exists consecutive integers $s,s+1,\dots,s+i$ such that $m_{i}|s+i$, if $m_{0},\dots,m_{r}$ are positive integers coprime

Published on 16 Apr 2026 - 14:24

score 175 · Answer 5 · 2026-04-09 11:33:04

175

Views

Help in proving a number theory problem

Published on 09 Apr 2026 - 11:33

score 352 · Answer 6 · 2026-04-13 06:19:09

352

Views

Proof if $x$ is order $\phi(n)$ in $\mathbb{Z}/n \mathbb{Z}$ all inverses are powers of $x$.

Published on 13 Apr 2026 - 6:19

score 2.9k · Answer 7 · 2026-04-08 22:27:31

2.9k

Views

Is a polynomial of degree 3 with irrational roots possible?

Published on 08 Apr 2026 - 22:27

score 98 · Answer 8 · 2026-04-13 23:22:55

98

Views

Can numbers of form $n^2 + 1$ have prime factors of form $4m + 3$?

Published on 13 Apr 2026 - 23:22

score 461 · Answer 9 · 2026-05-03 09:22:54

461

Views

How to solve $x^2+y^2=pz^2$ in $x,y,z\in\mathbb{N}$ if $p$ is such a prime that $p\equiv 3 \pmod 4$?

Published on 03 May 2026 - 9:22

score 952 · Answer 10 · 2026-04-14 06:27:52

952

Views

The number of positive integers $ n=2^a3^b$ such that $n^6$ does not divide $6^n$

Published on 14 Apr 2026 - 6:27

score 99 · Answer 11 · 2026-04-10 18:23:47

99

Views

Are there no positive solutions for $ a^3 + b^3 = c^3$

Published on 10 Apr 2026 - 18:23

score 240 · Answer 12 · 2026-04-13 12:02:27

240

Views

What is the reason for putting the restriction on the divisor and remainder in division algorithm?

Published on 13 Apr 2026 - 12:02

score 45 · Answer 13 · 2026-04-12 02:44:51

45

Views

Elementary number Theory / squarefree numbers

Published on 12 Apr 2026 - 2:44

score 100 · Answer 14 · 2026-04-24 07:44:20

100

Views

Given a number $n$, find $a$, such that digitSum($n-a$)+digitSum($a$) is maximum

Published on 24 Apr 2026 - 7:44

score 188 · Answer 15 · 2026-04-15 15:23:01

188

Views

Divisors of $\left(p^2+1\right)^2$ congruent to $1 \bmod p$, where $p$ is prime

Published on 15 Apr 2026 - 15:23

List Question

A Criteria of Diophantine Equations on one variable, Is it wrong?

About $ \beta_a^b(n) = \sum_{i=2}^n (-a)^{\omega(i)} \space \omega(i)^b $ where $\omega$ is prime omega function.

A Proposition related to Fermat Factorization Method

Prove exists consecutive integers $s,s+1,\dots,s+i$ such that $m_{i}|s+i$, if $m_{0},\dots,m_{r}$ are positive integers coprime

Help in proving a number theory problem

Proof if $x$ is order $\phi(n)$ in $\mathbb{Z}/n \mathbb{Z}$ all inverses are powers of $x$.

Is a polynomial of degree 3 with irrational roots possible?

Can numbers of form $n^2 + 1$ have prime factors of form $4m + 3$?

How to solve $x^2+y^2=pz^2$ in $x,y,z\in\mathbb{N}$ if $p$ is such a prime that $p\equiv 3 \pmod 4$?

The number of positive integers $ n=2^a3^b$ such that $n^6$ does not divide $6^n$

Are there no positive solutions for $ a^3 + b^3 = c^3$

What is the reason for putting the restriction on the divisor and remainder in division algorithm?

Elementary number Theory / squarefree numbers

Given a number $n$, find $a$, such that digitSum($n-a$)+digitSum($a$) is maximum

Divisors of $\left(p^2+1\right)^2$ congruent to $1 \bmod p$, where $p$ is prime

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