Question

Tiling a unit square with rectangles of area $\frac 1k \times \frac{1}{k+1}$ but not with those side lengths - any references (Web, book, etc.)?

score 300 · Answer 1 · 2026-04-15 01:00:35

300

Views

Tiling a unit square with rectangles of area $\frac 1k \times \frac{1}{k+1}$ but not with those side lengths - any references (Web, book, etc.)?

Published on 15 Apr 2026 - 1:00

score 567 · Answer 2 · 2026-05-03 16:24:46

567

Views

Prove that the diophantine equation $(xz+1)(yz+1)=az^{3} +1$ has no solutions in positive integers $x, y, z$ with $z>a^{2} +2a$.

Published on 03 May 2026 - 16:24

score 36 · Answer 3 · 2026-04-17 09:13:43

36

Views

What can be said about the missing number in this serie?

Published on 17 Apr 2026 - 9:13

score 153 · Answer 4 · 2026-04-10 02:45:49

153

Views

PRMO level question of functions

Published on 10 Apr 2026 - 2:45

score 53 · Answer 5 · 2026-04-16 00:38:30

53

Views

Find the smallest insertable number

Published on 16 Apr 2026 - 0:38

score 76 · Answer 6 · 2026-04-24 00:00:14

76

Views

Suppose $p(X \mid Y) = 1$, how do I show that $p(X \mid Y, Z) = 1$?

Published on 24 Apr 2026 - 0:00

score 231 · Answer 7 · 2026-04-14 00:14:00

231

Views

Place as few knights as possible on an 8 by 8 chess board so that every square is controlled by at least one knight.

Published on 14 Apr 2026 - 0:14

score 190 · Answer 8 · 2026-04-13 18:51:46

190

Views

How to find a number $n$ such that $\frac{n}{\phi(n)} > 10$?

Published on 13 Apr 2026 - 18:51

score 39 · Answer 9 · 2026-04-21 21:21:15

39

Views

Proving an anti-symmetric 'construction' is a tensor.

Published on 21 Apr 2026 - 21:21

score 45 · Answer 10 · 2026-04-22 01:44:42

45

Views

Simple arithmetic word problem whose solution I don't understand

Published on 22 Apr 2026 - 1:44

score 52 · Answer 11 · 2026-04-22 02:10:39

52

Views

Permute the entries of each column so that the row sums have absolute value $\le 2$.

Published on 22 Apr 2026 - 2:10

score 702 · Answer 12 · 2026-04-14 08:01:34

702

Views

Is there any general algorithm of finding multiples of a given number in a given range?

Published on 14 Apr 2026 - 8:01

score 439 · Answer 13 · 2026-04-10 07:27:24

439

Views

Hint for a combinatorial statement for counting triangles

Published on 10 Apr 2026 - 7:27

score 230 · Answer 14 · 2026-04-15 01:10:45

230

Views

Number of rays intersecting at a point inside a polygon

Published on 15 Apr 2026 - 1:10

score 497 · Answer 15 · 2026-04-11 19:02:32

497

Views

What's the deal with recreational mathematics?

Published on 11 Apr 2026 - 19:02

List Question

Tiling a unit square with rectangles of area $\frac 1k \times \frac{1}{k+1}$ but not with those side lengths - any references (Web, book, etc.)?

Prove that the diophantine equation $(xz+1)(yz+1)=az^{3} +1$ has no solutions in positive integers $x, y, z$ with $z>a^{2} +2a$.

What can be said about the missing number in this serie?

PRMO level question of functions

Find the smallest insertable number

Suppose $p(X \mid Y) = 1$, how do I show that $p(X \mid Y, Z) = 1$?

Place as few knights as possible on an 8 by 8 chess board so that every square is controlled by at least one knight.

How to find a number $n$ such that $\frac{n}{\phi(n)} > 10$?

Proving an anti-symmetric 'construction' is a tensor.

Simple arithmetic word problem whose solution I don't understand

Permute the entries of each column so that the row sums have absolute value $\le 2$.

Is there any general algorithm of finding multiples of a given number in a given range?

Hint for a combinatorial statement for counting triangles

Number of rays intersecting at a point inside a polygon

What's the deal with recreational mathematics?

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