Question

Understanding integers as a group in light of a general definition

score 63 · Answer 1 · 2026-03-27 23:35:58

63

Views

Understanding integers as a group in light of a general definition

Published on 27 Mar 2026 - 23:35

score 584 · Answer 2 · 2017-02-21 11:40:30

584

Views

How to construct integer polynomial of degree $n$ which takes $n$ times the value $1$ and $n$ times the value $-1$ (in integer points)

Published on 21 Feb 2017 - 11:40

score 49 · Answer 3 · 2026-03-29 04:50:45

49

Views

Integer axioms question

Published on 29 Mar 2026 - 4:50

score 181 · Answer 4 · 2017-02-23 22:01:00

181

Views

Diophantine Equation problem: Find all pairs of integers (a,b) such that $ab|a^{2017} + b$

Published on 23 Feb 2017 - 22:01

score 480 · Answer 5 · 2026-03-28 10:03:35

480

Views

Collatz divide by -2 instead

Published on 28 Mar 2026 - 10:03

score 66 · Answer 6 · 2017-02-25 21:54:44

66

Views

Solving an equation with floor functions

Published on 25 Feb 2017 - 21:54

score 47 · Answer 7 · 2017-02-25 22:20:47

47

Views

Could be this :$ \cos^n(i)+\sin^n(-i)$ integer for $n>2$?

Published on 25 Feb 2017 - 22:20

score 926 · Answer 8 · 2017-02-26 17:55:22

926

Views

If m,n,p,q are non negative integers, then how to prove the following?

Published on 26 Feb 2017 - 17:55

score 215 · Answer 9 · 2017-03-01 22:01:30

215

Views

Arrange the integers 1-100 in such a way that no eleven of the numbers selected from left to right form a strictly increasing or decreasing sequence

Published on 01 Mar 2017 - 22:01

score 118 · Answer 10 · 2026-03-30 02:06:49

118

Views

Prove that $x^2-x-1 = F_{12m + 7}$ has no solutions.

Published on 30 Mar 2026 - 2:06

score 107 · Answer 11 · 2026-03-30 02:07:04

107

Views

Find $n \in \mathbb N$ such that $F_{n-1} \cdot x^2 - F_n \cdot y ^ 2 = (- 1) ^ n$ has a solution in positive integers $x, y$?

Published on 30 Mar 2026 - 2:07

score 50 · Answer 12 · 2026-03-28 05:22:19

50

Views

$(a,n)=1\Rightarrow \exists [b]\in J_n $ such that $[a][b]=1$

Published on 28 Mar 2026 - 5:22

score 370 · Answer 13 · 2017-03-05 11:21:21

370

Views

prime factors of $ n^{2}+4$ is congruent to 1 or 5 (mod 8)

Published on 05 Mar 2017 - 11:21

score 4.2k · Answer 14 · 2017-03-06 13:51:53

4.2k

Views

Can a negative number be raised to a fractional power e.g $2.5$?

Published on 06 Mar 2017 - 13:51

score 135 · Answer 15 · 2017-03-12 10:50:36

135

Views

Prove that $(t$ mod $N) $ mod $ p = (t$ mod $p)$

Published on 12 Mar 2017 - 10:50

List Question

Understanding integers as a group in light of a general definition

How to construct integer polynomial of degree $n$ which takes $n$ times the value $1$ and $n$ times the value $-1$ (in integer points)

Integer axioms question

Diophantine Equation problem: Find all pairs of integers (a,b) such that $ab|a^{2017} + b$

Collatz divide by -2 instead

Solving an equation with floor functions

Could be this :$ \cos^n(i)+\sin^n(-i)$ integer for $n>2$?

If m,n,p,q are non negative integers, then how to prove the following?

Arrange the integers 1-100 in such a way that no eleven of the numbers selected from left to right form a strictly increasing or decreasing sequence

Prove that $x^2-x-1 = F_{12m + 7}$ has no solutions.

Find $n \in \mathbb N$ such that $F_{n-1} \cdot x^2 - F_n \cdot y ^ 2 = (- 1) ^ n$ has a solution in positive integers $x, y$?

$(a,n)=1\Rightarrow \exists [b]\in J_n $ such that $[a][b]=1$

prime factors of $ n^{2}+4$ is congruent to 1 or 5 (mod 8)

Can a negative number be raised to a fractional power e.g $2.5$?

Prove that $(t$ mod $N) $ mod $ p = (t$ mod $p)$

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