Question

Elementary number theory theorem may be related to some property of $SL(2,\mathbb{Z})$ or $PSL(2,\mathbb{Z})$

score 54 · Answer 1 · 2026-04-15 12:52:05

54

Views

Elementary number theory theorem may be related to some property of $SL(2,\mathbb{Z})$ or $PSL(2,\mathbb{Z})$

Published on 15 Apr 2026 - 12:52

score 84 · Answer 2 · 2026-04-15 12:09:02

84

Views

Find all $x,\ y,\ z$ that satisfy: $(x+y-z)^{5}+(x+z-y)^{5}+(z+y-x)^{5}=0$

Published on 15 Apr 2026 - 12:09

score 248 · Answer 3 · 2026-04-11 14:10:24

248

Views

Understanding a particular method of solving generalized version of Pell's equation

Published on 11 Apr 2026 - 14:10

score 112 · Answer 4 · 2026-04-14 22:28:16

112

Views

Fermat's Last Theorem Resources

Published on 14 Apr 2026 - 22:28

score 84 · Answer 5 · 2026-04-16 13:53:24

84

Views

Existence of infinitely many n such that sigma(varphi(n)) divides n?

Published on 16 Apr 2026 - 13:53

score 371 · Answer 6 · 2026-04-13 02:10:51

371

Views

An endofunction on natural numbers defined by induction on $n$.

Published on 13 Apr 2026 - 2:10

score 56 · Answer 7 · 2026-03-25 04:39:24

56

Views

Partial summation of character $\chi \pmod{p}$?

Published on 25 Mar 2026 - 4:39

score 99 · Answer 8 · 2026-04-14 14:27:09

99

Views

An uncountable set of reals in which any finite sum of elements is irrational - without choice

Published on 14 Apr 2026 - 14:27

score 106 · Answer 9 · 2026-04-15 03:46:06

106

Views

A divisibility problem without using induction or exhaustion

Published on 15 Apr 2026 - 3:46

score 44 · Answer 10 · 2026-04-16 04:40:40

44

Views

Can the solution of $(a+x^2)=0\bmod(b-x)$ such that $x<b-1$ be found without brute force?

Published on 16 Apr 2026 - 4:40

score 239 · Answer 11 · 2026-04-10 18:26:53

239

Views

Solution to Linear Diophantine Equation: Check

Published on 10 Apr 2026 - 18:26

score 95 · Answer 12 · 2026-04-14 21:14:54

95

Views

Maximum value of $n$ for which $8n^3+16n^2+72n+64$ is a perfect cube

Published on 14 Apr 2026 - 21:14

score 70 · Answer 13 · 2026-04-11 23:23:34

70

Views

Finding the time until 3 points that move with different speed overlap again

Published on 11 Apr 2026 - 23:23

score 118 · Answer 14 · 2026-04-16 01:36:14

118

Views

Let $a$, $b$ and $c$ be integers. Prove that if $a^2 \mid b$ and $b^3 \mid c$, then $a^4b^5 \mid c^3$.

Published on 16 Apr 2026 - 1:36

score 277 · Answer 15 · 2026-04-16 14:05:16

277

Views

Show that $\sum\limits_{i=1}^{p} i^{p}$ is divisible by $p$ for all primes $p > 2$.

Published on 16 Apr 2026 - 14:05

List Question

Elementary number theory theorem may be related to some property of $SL(2,\mathbb{Z})$ or $PSL(2,\mathbb{Z})$

Find all $x,\ y,\ z$ that satisfy: $(x+y-z)^{5}+(x+z-y)^{5}+(z+y-x)^{5}=0$

Understanding a particular method of solving generalized version of Pell's equation

Fermat's Last Theorem Resources

Existence of infinitely many n such that sigma(varphi(n)) divides n?

An endofunction on natural numbers defined by induction on $n$.

Partial summation of character $\chi \pmod{p}$?

An uncountable set of reals in which any finite sum of elements is irrational - without choice

A divisibility problem without using induction or exhaustion

Can the solution of $(a+x^2)=0\bmod(b-x)$ such that $x<b-1$ be found without brute force?

Solution to Linear Diophantine Equation: Check

Maximum value of $n$ for which $8n^3+16n^2+72n+64$ is a perfect cube

Finding the time until 3 points that move with different speed overlap again

Let $a$, $b$ and $c$ be integers. Prove that if $a^2 \mid b$ and $b^3 \mid c$, then $a^4b^5 \mid c^3$.

Show that $\sum\limits_{i=1}^{p} i^{p}$ is divisible by $p$ for all primes $p > 2$.

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