List questions from number-theory

Published on 14 Apr 2026 - 21:50

536

Views

Affine cipher with non relatively prime coefficient

Published on 11 Apr 2026 - 23:06

98

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Properties of Normal Numbers

Published on 09 Apr 2026 - 14:25

405

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What are the Legendre symbols $\left(\frac{10}{31}\right)$ and $\left(\frac{-15}{43}\right)$?

Published on 10 May 2026 - 12:55

139

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$(m,n)=1$, what could $(3n-4m, 5n+m)$ be?

Published on 17 Apr 2026 - 7:03

755

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Find the least nonnegative residue of: $42^{173} modulo 13$

Published on 15 Apr 2026 - 17:11

68

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Prove $3^x+9^x+1$ is divisible by 13 if $x=3n+1$

Published on 15 Apr 2026 - 10:11

39

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Am I right in this proof of a criterion for the nonsingularity of a conic curve?

Published on 14 Apr 2026 - 4:28

767

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Large Carmichael number

Published on 15 May 2026 - 22:01

102

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Problem parallel to Goldbach Conjecture

Published on 15 May 2026 - 8:37

106

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Solving the Diophantine equation $y^2 = x^4+x+ 2$ for $x,y \in \mathbb{Z}$

Published on 15 May 2026 - 8:43

138

Views

Showing that the Diophantine equation $3x^2 + 6y^6 + 1 = 8xy^3$ has no solutions $x,y \in \mathbb{Q}$

Published on 15 May 2026 - 8:45

266

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Solving the Diophantine equation $y^3 = 4x^2+4x+ 5$ for $x,y \in \mathbb{Z}$

Published on 10 May 2026 - 15:01

241

Views

Integrality of a certain quantity $\sum_{i =1}^n a_{\lfloor \frac{n}{i}\rfloor }=n^{10}, $

Published on 16 Apr 2026 - 14:33

72

Views

Let $r$ be primitive root mod $p$. When $x$ goes from $1$ to $p-1$, then $r^x$ (mod $p$) goes through all the numbers $1,\dots,p-1$ in some order

Published on 15 May 2026 - 9:51

List Question

For sufficiently large $n$, Which number is bigger, $2^n$ or $n^{1000}$?

Affine cipher with non relatively prime coefficient

Properties of Normal Numbers

What are the Legendre symbols $\left(\frac{10}{31}\right)$ and $\left(\frac{-15}{43}\right)$?

$(m,n)=1$, what could $(3n-4m, 5n+m)$ be?

Find the least nonnegative residue of: $42^{173} modulo 13$

Prove $3^x+9^x+1$ is divisible by 13 if $x=3n+1$

Am I right in this proof of a criterion for the nonsingularity of a conic curve?

Large Carmichael number

Problem parallel to Goldbach Conjecture

Solving the Diophantine equation $y^2 = x^4+x+ 2$ for $x,y \in \mathbb{Z}$

Showing that the Diophantine equation $3x^2 + 6y^6 + 1 = 8xy^3$ has no solutions $x,y \in \mathbb{Q}$

Solving the Diophantine equation $y^3 = 4x^2+4x+ 5$ for $x,y \in \mathbb{Z}$

Integrality of a certain quantity $\sum_{i =1}^n a_{\lfloor \frac{n}{i}\rfloor }=n^{10}, $

Let $r$ be primitive root mod $p$. When $x$ goes from $1$ to $p-1$, then $r^x$ (mod $p$) goes through all the numbers $1,\dots,p-1$ in some order

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