Question

Find all solutions to $xyz=1,000,000;$ $x,y,z \in \mathbb Z$

score 202 · Answer 1 · 2016-11-24 19:20:27

202

Views

Find all solutions to $xyz=1,000,000;$ $x,y,z \in \mathbb Z$

Published on 24 Nov 2016 - 19:20

score 76 · Answer 2 · 2016-11-25 22:39:21

76

Views

Simple integers problem

Published on 25 Nov 2016 - 22:39

score 113 · Answer 3 · 2016-11-27 00:27:35

113

Views

Proof by contradiction: finding integers that satisfy $a+b\sqrt{2}+c\sqrt{3}=\sqrt{6}$.

Published on 27 Nov 2016 - 0:27

score 352 · Answer 4 · 2016-11-27 20:57:52

352

Views

Show that $\lfloor(2+\sqrt{3})^n\rfloor$ is an odd integer whenever n is a nonnegative integer

Published on 27 Nov 2016 - 20:57

score 1.3k · Answer 5 · 2016-11-28 03:15:21

1.3k

Views

Prove that if $n$ is a perfect square, then either $n \equiv 1 \pmod 4$, or $n \equiv 0 \pmod 4$.

Published on 28 Nov 2016 - 3:15

score 58 · Answer 6 · 2016-11-28 06:42:31

58

Views

Is there a function that maps $\mathbb{R}$ to {$-1,1$}

Published on 28 Nov 2016 - 6:42

score 285 · Answer 7 · 2016-11-30 20:32:47

285

Views

Modified Binet's formula for Fibonacci sequence

Published on 30 Nov 2016 - 20:32

score 1.7k · Answer 8 · 2016-12-01 20:48:21

1.7k

Views

Integer value of x?

Published on 01 Dec 2016 - 20:48

score 56 · Answer 9 · 2016-12-02 01:43:22

56

Views

Is there a deeper reason for this relationship between the integers and the algebraic closure of a finite field?

Published on 02 Dec 2016 - 1:43

score 438 · Answer 10 · 2016-12-02 03:26:41

438

Views

Prove that no $m$ exists such that $n < m < n+1$ for positive integers $m$ and $n$.

Published on 02 Dec 2016 - 3:26

score 58 · Answer 11 · 2016-12-06 01:33:28

58

Views

How small can we make an integer-valued sequence?

Published on 06 Dec 2016 - 1:33

score 286 · Answer 12 · 2016-12-06 02:51:20

286

Views

If $(a,b)\sim(A,B)$ and $(c,d) \sim (C,D)$ prove $(a,b)(c,d)\sim(A,B)(C,D)$

Published on 06 Dec 2016 - 2:51

score 126 · Answer 13 · 2026-03-25 23:36:17

126

Views

When $a^2x^2+2bx+c$ is a perfect square?

Published on 25 Mar 2026 - 23:36

score 92 · Answer 14 · 2026-03-30 14:25:03

92

Views

Is there integer :$n>0$ for which $\displaystyle\frac{n^4+(n+1)^4}{n²+(n+1)^2}$ is integer?

Published on 30 Mar 2026 - 14:25

score 59 · Answer 15 · 2016-12-09 19:45:54

59

Views

Multiplicity of digits resulting from $9999[...]9^2$

Published on 09 Dec 2016 - 19:45

List Question

Find all solutions to $xyz=1,000,000;$ $x,y,z \in \mathbb Z$

Simple integers problem

Proof by contradiction: finding integers that satisfy $a+b\sqrt{2}+c\sqrt{3}=\sqrt{6}$.

Show that $\lfloor(2+\sqrt{3})^n\rfloor$ is an odd integer whenever n is a nonnegative integer

Prove that if $n$ is a perfect square, then either $n \equiv 1 \pmod 4$, or $n \equiv 0 \pmod 4$.

Is there a function that maps $\mathbb{R}$ to {$-1,1$}

Modified Binet's formula for Fibonacci sequence

Integer value of x?

Is there a deeper reason for this relationship between the integers and the algebraic closure of a finite field?

Prove that no $m$ exists such that $n < m < n+1$ for positive integers $m$ and $n$.

How small can we make an integer-valued sequence?

If $(a,b)\sim(A,B)$ and $(c,d) \sim (C,D)$ prove $(a,b)(c,d)\sim(A,B)(C,D)$

When $a^2x^2+2bx+c$ is a perfect square?

Is there integer :$n>0$ for which $\displaystyle\frac{n^4+(n+1)^4}{n²+(n+1)^2}$ is integer?

Multiplicity of digits resulting from $9999[...]9^2$

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