Question

Counting ordered pairs $(a,b)$ satisfying $a^2+b^2=(a+b)^2$, with $a$ and $b$ in the interval $[-100,100]$

score 273 · Answer 1 · 2020-06-10 12:43:31

273

Views

Counting ordered pairs $(a,b)$ satisfying $a^2+b^2=(a+b)^2$, with $a$ and $b$ in the interval $[-100,100]$

Published on 10 Jun 2020 - 12:43

score 118 · Answer 2 · 2026-02-23 10:21:48

118

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Suppose that $a$ is not coprime to $b$. Show that there exists $d\in\mathbb{N}$ such that $a\mid d$ and $b\mid d$, but $ab\not\mid d$.

Published on 23 Feb 2026 - 10:21

score 48 · Answer 3 · 2020-06-12 01:30:37

48

Views

Bijections Question (from TAACOPS) About Integers to Evens

Published on 12 Jun 2020 - 1:30

score 67 · Answer 4 · 2020-06-12 08:29:28

67

Views

Solve $5x+11y=4\pmod{13}$

Published on 12 Jun 2020 - 8:29

score 41 · Answer 5 · 2020-06-12 21:13:50

41

Views

Equivalence relation of integer sequences that have infinite image?

Published on 12 Jun 2020 - 21:13

score 116 · Answer 6 · 2026-03-26 18:58:44

116

Views

How to determine the values of integer matrices?

Published on 26 Mar 2026 - 18:58

score 84 · Answer 7 · 2020-06-15 05:47:25

84

Views

Find integer solution $|x^2-y|=8|y^2-1|$

Published on 15 Jun 2020 - 5:47

score 72 · Answer 8 · 2020-06-15 15:50:30

72

Views

Integer solutions to a system of equations

Published on 15 Jun 2020 - 15:50

score 38 · Answer 9 · 2026-02-23 04:35:52

38

Views

Contain does not imply divide

Published on 23 Feb 2026 - 4:35

score 146 · Answer 10 · 2020-06-17 01:15:25

146

Views

How to find the number of lattice points in a region bounded by 3 points(a triangle)?

Published on 17 Jun 2020 - 1:15

score 447 · Answer 11 · 2020-06-17 14:16:59

447

Views

Odd, Even combinations and Number of Integers for Each

Published on 17 Jun 2020 - 14:16

score 267 · Answer 12 · 2020-06-18 03:54:13

267

Views

Find integers $1+\sqrt2+\sqrt3+\sqrt6=\sqrt{a+\sqrt{b+\sqrt{c+\sqrt{d}}}}$

Published on 18 Jun 2020 - 3:54

score 56 · Answer 13 · 2020-06-18 11:08:54

56

Views

Prove $2\mathbb{Z} \otimes_{\mathbb{Z}} \mathbb{Z}/2\mathbb{Z} \overset{\sim}{=} \mathbb{Z}/2\mathbb{Z}$

Published on 18 Jun 2020 - 11:08

score 86 · Answer 14 · 2020-06-23 23:06:30

86

Views

Is there a standard symbol for "directionless" division?

Published on 23 Jun 2020 - 23:06

score 79 · Answer 15 · 2020-06-24 13:43:59

79

Views

Friedman's long finite sequences-an unclear step in the proof

Published on 24 Jun 2020 - 13:43

List Question

Counting ordered pairs $(a,b)$ satisfying $a^2+b^2=(a+b)^2$, with $a$ and $b$ in the interval $[-100,100]$

Suppose that $a$ is not coprime to $b$. Show that there exists $d\in\mathbb{N}$ such that $a\mid d$ and $b\mid d$, but $ab\not\mid d$.

Bijections Question (from TAACOPS) About Integers to Evens

Solve $5x+11y=4\pmod{13}$

Equivalence relation of integer sequences that have infinite image?

How to determine the values of integer matrices?

Find integer solution $|x^2-y|=8|y^2-1|$

Integer solutions to a system of equations

Contain does not imply divide

How to find the number of lattice points in a region bounded by 3 points(a triangle)?

Odd, Even combinations and Number of Integers for Each

Find integers $1+\sqrt2+\sqrt3+\sqrt6=\sqrt{a+\sqrt{b+\sqrt{c+\sqrt{d}}}}$

Prove $2\mathbb{Z} \otimes_{\mathbb{Z}} \mathbb{Z}/2\mathbb{Z} \overset{\sim}{=} \mathbb{Z}/2\mathbb{Z}$

Is there a standard symbol for "directionless" division?

Friedman's long finite sequences-an unclear step in the proof

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