Question

Generating $n$ numbers whose random subsum equals zero

score 27 · Answer 1 · 2026-04-12 20:22:38

27

Views

Generating $n$ numbers whose random subsum equals zero

Published on 12 Apr 2026 - 20:22

score 51 · Answer 2 · 2026-04-12 19:54:23

51

Views

Mini-Challenge on a condition

Published on 12 Apr 2026 - 19:54

score 485 · Answer 3 · 2026-04-15 04:55:33

485

Views

Use Lagrange's Theorem to prove g=5 is a generator of the multiplicative group G of integers modulo p that are coprime to p of prime order p=647.

Published on 15 Apr 2026 - 4:55

score 123 · Answer 4 · 2026-03-25 09:26:32

123

Views

What is the remainder when $ 6^{65} $ is divided by 80?

Published on 25 Mar 2026 - 9:26

score 1.3k · Answer 5 · 2026-04-09 05:32:07

1.3k

Views

Is it possible to find a closed-form expression for $f(n)$?

Published on 09 Apr 2026 - 5:32

score 263 · Answer 6 · 2026-04-16 05:10:30

263

Views

How many $m$ such that : $\sum\limits_{k=1}^m \left\lfloor\frac{m}{k}\right\rfloor$ be even?

Published on 16 Apr 2026 - 5:10

score 236 · Answer 7 · 2026-04-13 13:04:22

236

Views

Trivial subrepresentation and base change of fields

Published on 13 Apr 2026 - 13:04

score 213 · Answer 8 · 2026-04-15 15:29:37

213

Views

A non-trivial absolute value on an algebraic number field $K$ restricts to $Q$ non-trivially.

Published on 15 Apr 2026 - 15:29

score 340 · Answer 9 · 2026-04-15 23:40:44

340

Views

Questions on Convergence of Explicit Formulas for $f(x)=\sum\limits_{n=1}^x a(n)$ where $a(n)\in\{\left|\mu(n)\right|,\mu(n),\phi(n),\lambda(n)\}$

Published on 15 Apr 2026 - 23:40

score 39 · Answer 10 · 2026-04-17 10:51:52

39

Views

If $a_1x_1 + \ldots + a_nx_n = b$ has a solution modulo every $m$ then it has a solution in the integers.

Published on 17 Apr 2026 - 10:51

score 203 · Answer 11 · 2026-04-15 10:16:31

203

Views

Prove that $24n+5$ can't be a perfect square with $n \in \Bbb Z^+$

Published on 15 Apr 2026 - 10:16

score 169 · Answer 12 · 2026-04-14 05:36:32

169

Views

Closure of trajectory for parallel flow on torus with frequency relations (Arnold's mechanics book)

Published on 14 Apr 2026 - 5:36

score 99 · Answer 13 · 2026-04-15 11:33:56

99

Views

Finding the number of multiple of $3$ in the coefficients of $x(x+1)(x+2)\cdots (x+239)$

Published on 15 Apr 2026 - 11:33

score 135 · Answer 14 · 2026-04-12 20:06:38

135

Views

Prove that $n!$ is not divisible by $2^n$

Published on 12 Apr 2026 - 20:06

score 181 · Answer 15 · 2026-04-19 12:55:44

181

Views

Show that $(k+1) \nmid 2^{k}+1$ for any $k\in \mathbb{N}$

Published on 19 Apr 2026 - 12:55

List Question

Generating $n$ numbers whose random subsum equals zero

Mini-Challenge on a condition

Use Lagrange's Theorem to prove g=5 is a generator of the multiplicative group G of integers modulo p that are coprime to p of prime order p=647.

What is the remainder when $ 6^{65} $ is divided by 80?

Is it possible to find a closed-form expression for $f(n)$?

How many $m$ such that : $\sum\limits_{k=1}^m \left\lfloor\frac{m}{k}\right\rfloor$ be even?

Trivial subrepresentation and base change of fields

A non-trivial absolute value on an algebraic number field $K$ restricts to $Q$ non-trivially.

Questions on Convergence of Explicit Formulas for $f(x)=\sum\limits_{n=1}^x a(n)$ where $a(n)\in\{\left|\mu(n)\right|,\mu(n),\phi(n),\lambda(n)\}$

If $a_1x_1 + \ldots + a_nx_n = b$ has a solution modulo every $m$ then it has a solution in the integers.

Prove that $24n+5$ can't be a perfect square with $n \in \Bbb Z^+$

Closure of trajectory for parallel flow on torus with frequency relations (Arnold's mechanics book)

Finding the number of multiple of $3$ in the coefficients of $x(x+1)(x+2)\cdots (x+239)$

Prove that $n!$ is not divisible by $2^n$

Show that $(k+1) \nmid 2^{k}+1$ for any $k\in \mathbb{N}$

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