Question

$\frac{a^2+b^2+1}{ab+1}=k$. Find $k$

score 123 · Answer 1 · 2019-11-07 11:36:14

123

Views

$\frac{a^2+b^2+1}{ab+1}=k$. Find $k$

Published on 07 Nov 2019 - 11:36

score 686 · Answer 2 · 2026-03-26 09:39:55

686

Views

Formula for consecutive $0$s in the Thue-Morse sequence

Published on 26 Mar 2026 - 9:39

score 68 · Answer 3 · 2026-03-28 07:00:03

68

Views

Showing the existence of an integral number

Published on 28 Mar 2026 - 7:00

score 43 · Answer 4 · 2019-11-09 07:50:37

43

Views

Does there exist a integer solution to a consistent linear system consisting of only $1$s and $0$s?

Published on 09 Nov 2019 - 7:50

score 87 · Answer 5 · 2026-03-27 18:09:21

87

Views

What extra structure is there in the $\mathbb{Z}$ partial magma respect to $\mathbb{N}$ if both sets are not closed under division?

Published on 27 Mar 2026 - 18:09

score 43 · Answer 6 · 2019-11-13 19:24:00

43

Views

Prove that if $y \in \mathbb{Z}$, then $\dfrac{2y+3}{4y-2} \notin \mathbb{Z}$.

Published on 13 Nov 2019 - 19:24

score 58 · Answer 7 · 2019-11-18 03:57:31

58

Views

Prove the integer part of $(1+\sqrt{3})^{2006}$ is odd

Published on 18 Nov 2019 - 3:57

score 576 · Answer 8 · 2019-11-19 15:20:03

576

Views

How many points with integer coordinates lie either wholly inside or on the perimeter of triangle?

Published on 19 Nov 2019 - 15:20

score 41 · Answer 9 · 2019-11-21 15:57:39

41

Views

Solve in integers.

Published on 21 Nov 2019 - 15:57

score 45 · Answer 10 · 2019-11-21 18:09:17

45

Views

Solve in integers

Published on 21 Nov 2019 - 18:09

score 91 · Answer 11 · 2026-03-28 08:51:22

91

Views

Is it possible to generate a composite number with no information about its factors?

Published on 28 Mar 2026 - 8:51

score 214 · Answer 12 · 2019-11-24 03:03:36

214

Views

Prove the surjectivity of $f(r,m)$ from $\mathbb{Z^{+}} \times \mathbb{N} \rightarrow 2\mathbb{N}+1$

Published on 24 Nov 2019 - 3:03

score 7.1k · Answer 13 · 2026-03-25 17:38:25

7.1k

Views

Minimum number of bits to represent negative number

Published on 25 Mar 2026 - 17:38

score 62 · Answer 14 · 2019-11-24 16:23:30

62

Views

Well-definedness of a map on an elliptic curve

Published on 24 Nov 2019 - 16:23

score 37 · Answer 15 · 2019-11-24 22:09:50

37

Views

Find sets of terms of given sequences

Published on 24 Nov 2019 - 22:09

List Question

$\frac{a^2+b^2+1}{ab+1}=k$. Find $k$

Formula for consecutive $0$s in the Thue-Morse sequence

Showing the existence of an integral number

Does there exist a integer solution to a consistent linear system consisting of only $1$s and $0$s?

What extra structure is there in the $\mathbb{Z}$ partial magma respect to $\mathbb{N}$ if both sets are not closed under division?

Prove that if $y \in \mathbb{Z}$, then $\dfrac{2y+3}{4y-2} \notin \mathbb{Z}$.

Prove the integer part of $(1+\sqrt{3})^{2006}$ is odd

How many points with integer coordinates lie either wholly inside or on the perimeter of triangle?

Solve in integers.

Solve in integers

Is it possible to generate a composite number with no information about its factors?

Prove the surjectivity of $f(r,m)$ from $\mathbb{Z^{+}} \times \mathbb{N} \rightarrow 2\mathbb{N}+1$

Minimum number of bits to represent negative number

Well-definedness of a map on an elliptic curve

Find sets of terms of given sequences

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