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Elementary number theory in sets

score 282 · Answer 1 · 2018-09-27 20:18:48

282

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Elementary number theory in sets

Published on 27 Sep 2018 - 20:18

score 12.3k · Answer 2 · 2026-03-22 04:56:16

12.3k

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7 fishermen caught exactly 100 fish and no two had caught the same number of fish. Then there are three who have together captured at least 50 fish.

Published on 22 Mar 2026 - 4:56

score 652 · Answer 3 · 2018-10-03 21:59:13

652

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Give a proof by contradiction to show if the odd integers $1,3,5,7,9,11,13,15,17,19,$ are placed around a circle...

Published on 03 Oct 2018 - 21:59

score 360 · Answer 4 · 2018-10-09 07:18:38

360

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Splitting a set in two

Published on 09 Oct 2018 - 7:18

score 3.1k · Answer 5 · 2018-10-10 11:12:56

3.1k

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A standard and rigorous proof using the pigeonhole principle

Published on 10 Oct 2018 - 11:12

score 123 · Answer 6 · 2026-03-21 02:26:46

123

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Approximating a real arbitrarily well by $Z$-linear combination of two reals having irrational ratio.

Published on 21 Mar 2026 - 2:26

score 35 · Answer 7 · 2018-10-18 16:02:00

35

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G=(V,E) a graph that that maintains this condition $\left |E \right |\geq \left | V \right |\geq \left |3 \right |$ must have a circle

Published on 18 Oct 2018 - 16:02

score 6k · Answer 8 · 2018-10-21 21:35:52

6k

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Prove that given any ﬁve integers, there will be three for which the sum of the squares of those integers is divisible by 3.

Published on 21 Oct 2018 - 21:35

score 1.5k · Answer 9 · 2018-10-24 02:35:16

1.5k

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Pigeonhole Principle Issue five integers where their sum or difference is divisible by seven.

Published on 24 Oct 2018 - 2:35

score 185 · Answer 10 · 2026-03-24 21:51:51

185

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What mathematics cannot be reduced to pigeonhole?

Published on 24 Mar 2026 - 21:51

score 30 · Answer 11 · 2018-11-01 11:21:48

30

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Pigeon hole principle doubt

Published on 01 Nov 2018 - 11:21

score 323 · Answer 12 · 2018-11-02 02:43:23

Color an infinite equilateral grid with seven colors. Can it be possible to prove using Pigeonhole Principle that a monochromatic triangle exists?

score 1k · Answer 13 · 2018-11-03 13:42:34

1k

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decimal expansion of an integer

Published on 03 Nov 2018 - 13:42

score 638 · Answer 14 · 2018-11-03 15:08:41

638

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Divisibility of Consecutive Powers of 10

Published on 03 Nov 2018 - 15:08

score 86 · Answer 15 · 2018-11-08 04:12:53

86

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Proof using an application of Pigeonhole Principle

Published on 08 Nov 2018 - 4:12

List Question

Elementary number theory in sets

7 fishermen caught exactly 100 fish and no two had caught the same number of fish. Then there are three who have together captured at least 50 fish.

Give a proof by contradiction to show if the odd integers $1,3,5,7,9,11,13,15,17,19,$ are placed around a circle...

Splitting a set in two

A standard and rigorous proof using the pigeonhole principle

Approximating a real arbitrarily well by $Z$-linear combination of two reals having irrational ratio.

G=(V,E) a graph that that maintains this condition $\left |E \right |\geq \left | V \right |\geq \left |3 \right |$ must have a circle

Prove that given any ﬁve integers, there will be three for which the sum of the squares of those integers is divisible by 3.

Pigeonhole Principle Issue five integers where their sum or difference is divisible by seven.

What mathematics cannot be reduced to pigeonhole?

Pigeon hole principle doubt

Color an infinite equilateral grid with seven colors. Can it be possible to prove using Pigeonhole Principle that a monochromatic triangle exists?

decimal expansion of an integer

Divisibility of Consecutive Powers of 10

Proof using an application of Pigeonhole Principle

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