Question

Prove $\, \frac{ab}{c}+ \frac{ac}{b}+ \frac{bc}{a}\in\Bbb Z \,\Rightarrow\, \frac{ab}{c},\frac{ac}{b},\frac{bc}{a}\in\Bbb Z $

score 495 · Answer 1 · 2026-03-27 00:06:02

495

Views

Prove $\, \frac{ab}{c}+ \frac{ac}{b}+ \frac{bc}{a}\in\Bbb Z \,\Rightarrow\, \frac{ab}{c},\frac{ac}{b},\frac{bc}{a}\in\Bbb Z $

Published on 27 Mar 2026 - 0:06

score 204 · Answer 2 · 2020-05-23 10:28:34

204

Views

Analysis- Supremum and infimum

Published on 23 May 2020 - 10:28

score 94 · Answer 3 · 2020-05-23 14:06:29

94

Views

find integer solutions under square root

Published on 23 May 2020 - 14:06

score 184 · Answer 4 · 2026-03-29 18:15:19

184

Views

Given that $n^4-4n^3+14n^2-20n+10$ is a perfect square, find all integers n that satisfy the condition

Published on 29 Mar 2026 - 18:15

score 86 · Answer 5 · 2020-05-24 19:20:38

86

Views

Alternative proof of $a\times0= 0$

Published on 24 May 2020 - 19:20

score 29 · Answer 6 · 2020-05-27 16:39:51

29

Views

Equality of sums in the context of discrete Fourier analysis

Published on 27 May 2020 - 16:39

score 38 · Answer 7 · 2020-05-29 04:51:44

38

Views

How do determine set of exclusions of sum given minimums, maximimums and sets of exclusions of the summed integers?

Published on 29 May 2020 - 4:51

score 192 · Answer 8 · 2026-03-25 11:15:53

192

Views

Is there a geometric proof for distributivity of integer addition/multiplication and other similar properties?

Published on 25 Mar 2026 - 11:15

score 484 · Answer 9 · 2026-02-25 15:34:57

484

Views

Bouncing Bullet Problem

Published on 25 Feb 2026 - 15:34

score 36 · Answer 10 · 2026-03-29 11:42:36

36

Views

Solving a system of equations involving the floor function.

Published on 29 Mar 2026 - 11:42

score 85 · Answer 11 · 2020-05-31 14:10:34

85

Views

Finding general term of sequence satisfying $f(m+n)+f(m-n)=\frac 12(f(2n) + f(2m))$ and $f(1) = 1$

Published on 31 May 2020 - 14:10

score 348 · Answer 12 · 2020-06-03 14:50:58

348

Views

If $3\mid mn$, then $3\mid m$ or $3\mid n$

Published on 03 Jun 2020 - 14:50

score 47 · Answer 13 · 2026-02-23 08:32:58

47

Views

Is there any example of a property which is true but undecidable?

Published on 23 Feb 2026 - 8:32

score 824 · Answer 14 · 2020-06-09 13:42:12

824

Views

If $n$ is odd, then there is an integer $k$ such that $n^2=8k+1$

Published on 09 Jun 2020 - 13:42

score 128 · Answer 15 · 2020-06-09 14:29:22

128

Views

Relative numbers representation (graphic)

Published on 09 Jun 2020 - 14:29

List Question

Prove $\, \frac{ab}{c}+ \frac{ac}{b}+ \frac{bc}{a}\in\Bbb Z \,\Rightarrow\, \frac{ab}{c},\frac{ac}{b},\frac{bc}{a}\in\Bbb Z $

Analysis- Supremum and infimum

find integer solutions under square root

Given that $n^4-4n^3+14n^2-20n+10$ is a perfect square, find all integers n that satisfy the condition

Alternative proof of $a\times0= 0$

Equality of sums in the context of discrete Fourier analysis

How do determine set of exclusions of sum given minimums, maximimums and sets of exclusions of the summed integers?

Is there a geometric proof for distributivity of integer addition/multiplication and other similar properties?

Bouncing Bullet Problem

Solving a system of equations involving the floor function.

Finding general term of sequence satisfying $f(m+n)+f(m-n)=\frac 12(f(2n) + f(2m))$ and $f(1) = 1$

If $3\mid mn$, then $3\mid m$ or $3\mid n$

Is there any example of a property which is true but undecidable?

If $n$ is odd, then there is an integer $k$ such that $n^2=8k+1$

Relative numbers representation (graphic)

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