Question

Question about factorization of ${ {x+n} \choose n}$

score 59 · Answer 1 · 2026-04-13 20:18:17

59

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Question about factorization of ${ {x+n} \choose n}$

Published on 13 Apr 2026 - 20:18

score 180 · Answer 2 · 2026-04-09 10:41:21

180

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Odd perfect numbers, questions on a proof of Steuerwald

Published on 09 Apr 2026 - 10:41

score 605 · Answer 3 · 2026-04-11 21:38:26

605

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Arithmetic Progression of Primes of length 7

Published on 11 Apr 2026 - 21:38

score 462 · Answer 4 · 2026-04-14 08:31:09

462

Views

No primitive pythagorean triple $(x,y,z)$ with $z\equiv -1 \pmod 4$

Published on 14 Apr 2026 - 8:31

score 56 · Answer 5 · 2026-04-17 13:08:44

56

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Determine the quotient $\mathbb{Z}^3\big/ A\mathbb{Z}^3$ with Smith normal form

Published on 17 Apr 2026 - 13:08

score 167 · Answer 6 · 2026-04-09 13:03:07

167

Views

Can a prime have arbitary many representations as a sum of two perfect powers?

Published on 09 Apr 2026 - 13:03

score 1.3k · Answer 7 · 2026-04-14 20:55:28

1.3k

Views

Number Theory Linear Diophantine Equations

Published on 14 Apr 2026 - 20:55

score 139 · Answer 8 · 2026-04-15 17:24:21

139

Views

Congruence of a power with 1, $a^x \equiv 1\ mod \ (p^\alpha)$

Published on 15 Apr 2026 - 17:24

score 853 · Answer 9 · 2026-04-12 11:04:19

853

Views

Matrix sieve theorem

Published on 12 Apr 2026 - 11:04

score 84 · Answer 10 · 2026-04-15 23:16:12

84

Views

If $a_i$ are not necessarily distinct real & $1<a_i<13$ for all $i$.Show that we can choose three of them such that they are lengths of a triangle

Published on 15 Apr 2026 - 23:16

score 294 · Answer 11 · 2026-04-14 20:57:11

294

Views

On questions involving the radical of an integer and different number theoretic functions: the Euler's totient function

Published on 14 Apr 2026 - 20:57

score 104 · Answer 12 · 2026-04-16 23:11:33

104

Views

On a conjecture that if $2\left(p_n+p_{n-1}\right)\equiv -1\pmod {n^2}$ then $n=11$ only.

Published on 16 Apr 2026 - 23:11

score 274 · Answer 13 · 2026-04-20 07:48:56

274

Views

Equations involving the Euler's totient function and Mersenne primes

Published on 20 Apr 2026 - 7:48

score 253 · Answer 14 · 2026-04-15 17:29:43

253

Views

Let $p$ and $q$ be distinct primes. $\frac{1}{x}+\frac{1}{y}=\frac{1}{pq}$

Published on 15 Apr 2026 - 17:29

score 186 · Answer 15 · 2026-04-12 20:30:56

186

Views

Why is $ p-a$ a quadratic residue if $a$ is a quadratic residue?

Published on 12 Apr 2026 - 20:30

List Question

Question about factorization of ${ {x+n} \choose n}$

Odd perfect numbers, questions on a proof of Steuerwald

Arithmetic Progression of Primes of length 7

No primitive pythagorean triple $(x,y,z)$ with $z\equiv -1 \pmod 4$

Determine the quotient $\mathbb{Z}^3\big/ A\mathbb{Z}^3$ with Smith normal form

Can a prime have arbitary many representations as a sum of two perfect powers?

Number Theory Linear Diophantine Equations

Congruence of a power with 1, $a^x \equiv 1\ mod \ (p^\alpha)$

Matrix sieve theorem

If $a_i$ are not necessarily distinct real & $1<a_i<13$ for all $i$.Show that we can choose three of them such that they are lengths of a triangle

On questions involving the radical of an integer and different number theoretic functions: the Euler's totient function

On a conjecture that if $2\left(p_n+p_{n-1}\right)\equiv -1\pmod {n^2}$ then $n=11$ only.

Equations involving the Euler's totient function and Mersenne primes

Let $p$ and $q$ be distinct primes. $\frac{1}{x}+\frac{1}{y}=\frac{1}{pq}$

Why is $ p-a$ a quadratic residue if $a$ is a quadratic residue?

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