List questions from elementary-number-theory

Published on 11 May 2026 - 0:31

430

Views

If $a$ is of order $3$ mod a prime $p$, then ...

Published on 10 May 2026 - 20:03

136

Views

Factorial like product

Published on 13 Apr 2026 - 13:03

58

Views

Approximation to a real number by rationals and derivability of power of Riemann function

Published on 13 Apr 2026 - 23:10

57

Views

Meaning of the expression $p^\alpha \mid \mid n$

Published on 14 Apr 2026 - 7:20

90

Views

$(ab-cd)|(a+b-c-d)$

Published on 16 Apr 2026 - 13:04

89

Views

Factors of $2^{3511-1}-1$, where $3511$ is a Wieferich prime.

Published on 13 Apr 2026 - 9:41

898

Views

Show that if $p|(a^{2^n}+1)$, then $p = 2$ or $p\equiv 1 \pmod{2^{n+1}}$

Published on 10 May 2026 - 20:03

712

Views

Find all prime number $p$ such that $2^p+p^2$ is prime number

Published on 15 Apr 2026 - 22:25

495

Views

Find all number $n\in \mathbb N$ such that $\varphi (n)=14$

Published on 11 May 2026 - 8:27

271

Views

Show that $\frac{(m+n-1)!}{m!n!}$ is an integer where m and n are positive integers and gcd(m,n)=1

Published on 16 Apr 2026 - 10:22

61

Views

Integral solutions of polynomial

Published on 13 Apr 2026 - 5:06

833

Views

When g and -g are both primitive roots

Published on 10 May 2026 - 20:02

150

Views

For any prime $p$ not a divisor of $ab$, prove that $ax^2 + by^2 \equiv с \pmod{p}$ is solvable.

Published on 13 Apr 2026 - 19:23

497

Views

Proof verification: rational solutions to $x^y=y^x$

Published on 12 Apr 2026 - 15:57

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The peculiar properties of 14732

If $a$ is of order $3$ mod a prime $p$, then ...

Factorial like product

Approximation to a real number by rationals and derivability of power of Riemann function

Meaning of the expression $p^\alpha \mid \mid n$

$(ab-cd)|(a+b-c-d)$

Factors of $2^{3511-1}-1$, where $3511$ is a Wieferich prime.

Show that if $p|(a^{2^n}+1)$, then $p = 2$ or $p\equiv 1 \pmod{2^{n+1}}$

Find all prime number $p$ such that $2^p+p^2$ is prime number

Find all number $n\in \mathbb N$ such that $\varphi (n)=14$

Show that $\frac{(m+n-1)!}{m!n!}$ is an integer where m and n are positive integers and gcd(m,n)=1

Integral solutions of polynomial

When g and -g are both primitive roots

For any prime $p$ not a divisor of $ab$, prove that $ax^2 + by^2 \equiv с \pmod{p}$ is solvable.

Proof verification: rational solutions to $x^y=y^x$

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