Question

Why can integers a,b be found for $0 < a+b \sqrt{2} \leq \frac{1+\sqrt{2}}{m+2}$ for all positive integers m when a,b are less than m?

score 114 · Answer 1 · 2021-06-28 01:16:10

Why can integers a,b be found for $0 < a+b \sqrt{2} \leq \frac{1+\sqrt{2}}{m+2}$ for all positive integers m when a,b are less than m?

score 498 · Answer 2 · 2021-07-06 13:18:23

498

Views

Putting 10 points on and within a 3x3 square

Published on 06 Jul 2021 - 13:18

score 87 · Answer 3 · 2021-07-09 06:43:35

87

Views

$4$ piles of stones in to $5$ piles

Published on 09 Jul 2021 - 6:43

score 100 · Answer 4 · 2021-07-10 03:08:28

100

Views

A combination problem about same sum subsets

Published on 10 Jul 2021 - 3:08

score 79 · Answer 5 · 2026-03-30 08:29:14

79

Views

Pigeon hole problem for custom deck of cards

Published on 30 Mar 2026 - 8:29

score 718 · Answer 6 · 2026-03-29 04:26:20

718

Views

Draw 7 lines on the plane in an arbitrary manner. Prove that for any such configuration, 2 of the those 7 lines form an angle less than 26◦

Published on 29 Mar 2026 - 4:26

score 123 · Answer 7 · 2021-07-22 05:51:24

123

Views

An Easy Pigeonhole Principle Problem - No. of friends in a group

Published on 22 Jul 2021 - 5:51

score 106 · Answer 8 · 2026-03-29 06:00:28

106

Views

Prove that at least one student solved all the problems using PHP

Published on 29 Mar 2026 - 6:00

score 109 · Answer 9 · 2026-03-30 21:09:50

109

Views

Permutations preserve some relative positions

Published on 30 Mar 2026 - 21:09

score 111 · Answer 10 · 2021-08-06 14:39:25

111

Views

Why do we use pigeonhole principle to prove equality?

Published on 06 Aug 2021 - 14:39

score 43 · Answer 11 · 2021-08-06 22:34:32

43

Views

Calculating probability in iterative double pigeonhole type problem

Published on 06 Aug 2021 - 22:34

score 251 · Answer 12 · 2026-03-27 18:09:31

251

Views

Prove that the infinite $\sum_{\text{ p prime}}\frac{1}{2^p}$ is an irrational number.

Published on 27 Mar 2026 - 18:09

score 199 · Answer 13 · 2026-03-27 02:07:35

199

Views

Gaps between primes and Pigeonhole Principle

Published on 27 Mar 2026 - 2:07

score 58 · Answer 14 · 2021-08-21 14:17:57

58

Views

Converting a proof by pigeonhole principle to one by mathematical induction

Published on 21 Aug 2021 - 14:17

score 92 · Answer 15 · 2026-03-30 05:13:13

92

Views

Distribution of points and Pigeon-Hole Principle

Published on 30 Mar 2026 - 5:13

List Question

Why can integers a,b be found for $0 < a+b \sqrt{2} \leq \frac{1+\sqrt{2}}{m+2}$ for all positive integers m when a,b are less than m?

Putting 10 points on and within a 3x3 square

$4$ piles of stones in to $5$ piles

A combination problem about same sum subsets

Pigeon hole problem for custom deck of cards

Draw 7 lines on the plane in an arbitrary manner. Prove that for any such configuration, 2 of the those 7 lines form an angle less than 26◦

An Easy Pigeonhole Principle Problem - No. of friends in a group

Prove that at least one student solved all the problems using PHP

Permutations preserve some relative positions

Why do we use pigeonhole principle to prove equality?

Calculating probability in iterative double pigeonhole type problem

Prove that the infinite $\sum_{\text{ p prime}}\frac{1}{2^p}$ is an irrational number.

Gaps between primes and Pigeonhole Principle

Converting a proof by pigeonhole principle to one by mathematical induction

Distribution of points and Pigeon-Hole Principle

Trending Questions

Popular # Hahtags

Popular Questions