Question

How to find least positive integer

score 1.7k · Answer 1 · 2026-04-11 19:58:12

1.7k

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How to find least positive integer

Published on 11 Apr 2026 - 19:58

score 1.2k · Answer 2 · 2026-04-12 06:44:15

1.2k

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Proof involving relatively prime numbers

Published on 12 Apr 2026 - 6:44

score 64 · Answer 3 · 2026-04-09 03:39:24

64

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A question about representation between three numbers

Published on 09 Apr 2026 - 3:39

score 118 · Answer 4 · 2026-04-09 02:24:37

118

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Help to understand proof for any positive integer to be used as a base.

Published on 09 Apr 2026 - 2:24

score 2.2k · Answer 5 · 2018-03-06 06:52:48

2.2k

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Show that two consecutive integers do not share any prime as factor

Published on 06 Mar 2018 - 6:52

score 123 · Answer 6 · 2026-04-10 17:56:15

123

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Application of Bezout's theorem

Published on 10 Apr 2026 - 17:56

score 64 · Answer 7 · 2026-03-25 03:07:51

64

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Given integers, $s= 2a+3b, t=9a+5b$, if $17\mid s$, prove $17 \mid t$.

Published on 25 Mar 2026 - 3:07

score 51 · Answer 8 · 2026-04-13 02:46:12

51

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Show $(a-1)\mid a^{n+1} -a(a-1)n -a$

Published on 13 Apr 2026 - 2:46

score 1.7k · Answer 9 · 2026-04-12 21:24:48

1.7k

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find the last digit - should i use $\mod 10$ to show this?

Published on 12 Apr 2026 - 21:24

score 34 · Answer 10 · 2026-04-10 15:16:56

34

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Why does $\frac{X}{b}=d_n b^{n-1}+\ldots+ d_1+ \frac{d_0}{b}$ imply $d_0$ is the remainder?

Published on 10 Apr 2026 - 15:16

score 365 · Answer 11 · 2026-04-11 09:10:51

365

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Proof by induction (Chinese remainder theorem?)

Published on 11 Apr 2026 - 9:10

score 1k · Answer 12 · 2026-04-11 14:33:56

1k

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Quadratic forms over complex numbers

Published on 11 Apr 2026 - 14:33

score 32 · Answer 13 · 2018-03-06 23:37:53

32

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Is there a relation between number of divisors and ability to express a number as a perfect square.

Published on 06 Mar 2018 - 23:37

score 197 · Answer 14 · 2026-03-25 06:30:19

197

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Let $p$ be a prime number. Prove that there exists $x∈Z$ for which $p|x^2−x+ 3$ if and only if there exists $y∈Z$ for which $p|y^2−y+ 25$.

Published on 25 Mar 2026 - 6:30

score 260 · Answer 15 · 2026-03-25 04:43:34

260

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Assume $m$ divides $n$. Show for any integer $a$, $[a]_m$ is the union of $[a]_n, [a+m]_n, [a+2m]_n,..., [a+(n-m)]_n$

Published on 25 Mar 2026 - 4:43

List Question

How to find least positive integer

Proof involving relatively prime numbers

A question about representation between three numbers

Help to understand proof for any positive integer to be used as a base.

Show that two consecutive integers do not share any prime as factor

Application of Bezout's theorem

Given integers, $s= 2a+3b, t=9a+5b$, if $17\mid s$, prove $17 \mid t$.

Show $(a-1)\mid a^{n+1} -a(a-1)n -a$

find the last digit - should i use $\mod 10$ to show this?

Why does $\frac{X}{b}=d_n b^{n-1}+\ldots+ d_1+ \frac{d_0}{b}$ imply $d_0$ is the remainder?

Proof by induction (Chinese remainder theorem?)

Quadratic forms over complex numbers

Is there a relation between number of divisors and ability to express a number as a perfect square.

Let $p$ be a prime number. Prove that there exists $x∈Z$ for which $p|x^2−x+ 3$ if and only if there exists $y∈Z$ for which $p|y^2−y+ 25$.

Assume $m$ divides $n$. Show for any integer $a$, $[a]_m$ is the union of $[a]_n, [a+m]_n, [a+2m]_n,..., [a+(n-m)]_n$

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