Question

Given increasing integer sequence can we shift the terms to get infinitely many perfect squares?

score 61 · Answer 1 · 2019-08-16 15:37:26

61

Views

Given increasing integer sequence can we shift the terms to get infinitely many perfect squares?

Published on 16 Aug 2019 - 15:37

score 757 · Answer 2 · 2019-08-18 20:14:12

757

Views

Prove that any subset of six elements of $S=\left\{1,2,...,9 \right\}$ must contain at least two elements whose sum is 10.

Published on 18 Aug 2019 - 20:14

score 365 · Answer 3 · 2026-02-23 06:39:33

365

Views

Pigeon Hole Principle - Minimum customers needed such that at least one is a winner

Published on 23 Feb 2026 - 6:39

score 918 · Answer 4 · 2019-08-21 22:05:50

918

Views

Pigeonhole Problem: Prove that a subset's sum is divisible by 10

Published on 21 Aug 2019 - 22:05

score 2.5k · Answer 5 · 2019-09-01 22:39:36

2.5k

Views

For $a,b$ coprime, there exists positive integers $x,y$ such that $ax-by=1$

Published on 01 Sep 2019 - 22:39

score 82 · Answer 6 · 2019-09-02 05:13:52

82

Views

There is no set of exactly five elements $A \subset \mathbb{N}$ such that sum of any distinct three is prime.

Published on 02 Sep 2019 - 5:13

score 909 · Answer 7 · 2019-09-05 03:21:13

909

Views

Proving the Pigeonhole Principle using proof by contradiction

Published on 05 Sep 2019 - 3:21

score 78 · Answer 8 · 2019-09-05 07:50:22

78

Views

Pigeon hole exercise

Published on 05 Sep 2019 - 7:50

score 382 · Answer 9 · 2019-09-05 11:26:02

382

Views

Pigeonhole principle - divisibility by $7$.

Published on 05 Sep 2019 - 11:26

score 296 · Answer 10 · 2019-09-05 21:21:05

296

Views

Tricky problem on pigeonhole principle

Published on 05 Sep 2019 - 21:21

score 146 · Answer 11 · 2019-09-11 12:03:09

146

Views

Pigeonhole Principle- a general case for odd number's of positive integers and the product

Published on 11 Sep 2019 - 12:03

score 73 · Answer 12 · 2019-09-13 12:22:56

73

Views

Graph theory: Prove there exists 2 vertices with degree 4

Published on 13 Sep 2019 - 12:22

score 3.1k · Answer 13 · 2019-09-15 14:28:44

3.1k

Views

Which version of the Pigeonhole principle is correct? One is far stronger than the other

Published on 15 Sep 2019 - 14:28

score 122 · Answer 14 · 2019-09-22 08:35:52

A student is preparing for an exam. Show that there exists consecutive days such that the student learns exactly 4 hours.

score 181 · Answer 15 · 2019-09-25 05:19:43

181

Views

Average, spending, and pigeonhole principle proof question

Published on 25 Sep 2019 - 5:19

List Question

Given increasing integer sequence can we shift the terms to get infinitely many perfect squares?

Prove that any subset of six elements of $S=\left\{1,2,...,9 \right\}$ must contain at least two elements whose sum is 10.

Pigeon Hole Principle - Minimum customers needed such that at least one is a winner

Pigeonhole Problem: Prove that a subset's sum is divisible by 10

For $a,b$ coprime, there exists positive integers $x,y$ such that $ax-by=1$

There is no set of exactly five elements $A \subset \mathbb{N}$ such that sum of any distinct three is prime.

Proving the Pigeonhole Principle using proof by contradiction

Pigeon hole exercise

Pigeonhole principle - divisibility by $7$.

Tricky problem on pigeonhole principle

Pigeonhole Principle- a general case for odd number's of positive integers and the product

Graph theory: Prove there exists 2 vertices with degree 4

Which version of the Pigeonhole principle is correct? One is far stronger than the other

A student is preparing for an exam. Show that there exists consecutive days such that the student learns exactly 4 hours.

Average, spending, and pigeonhole principle proof question

Trending Questions

Popular # Hahtags

Popular Questions