Question

Let $X$ be an infinite subset of $\mathbb{N}$. Prove that $|X| = |\mathbb{N}|$

score 96 · Answer 1 · 2021-02-02 19:01:45

96

Views

Let $X$ be an infinite subset of $\mathbb{N}$. Prove that $|X| = |\mathbb{N}|$

Published on 02 Feb 2021 - 19:01

score 259 · Answer 2 · 2021-02-05 02:03:32

259

Views

Proof of basic subtraction rules for natural numbers

Published on 05 Feb 2021 - 2:03

score 110 · Answer 3 · 2021-02-12 15:42:12

110

Views

Prove that there is an infinite number of values of $n$ for which the biggest prime divisor $p$ of $2^{n}-1$ satisfies $p < 2^{n/2021}-1$

Published on 12 Feb 2021 - 15:42

score 724 · Answer 4 · 2021-02-12 22:47:08

724

Views

Are the natural numbers closed under exponentiation?

Published on 12 Feb 2021 - 22:47

score 54 · Answer 5 · 2021-02-13 04:19:33

54

Views

How to prove that for any two natural numbers a, b, there exist natural numbers c,d with a + d = b +c

Published on 13 Feb 2021 - 4:19

score 1.7k · Answer 6 · 2021-02-13 17:46:47

1.7k

Views

Prove the existence of $n\in\mathbb{N}$ such that $0<1/n<\epsilon$

Published on 13 Feb 2021 - 17:46

score 60 · Answer 7 · 2021-02-14 20:44:39

60

Views

Minimum value of $ \lceil{an}\rceil-an $, where a is irrational.

Published on 14 Feb 2021 - 20:44

score 36 · Answer 8 · 2021-02-19 21:24:40

36

Views

A result using Weighted Average

Published on 19 Feb 2021 - 21:24

score 137 · Answer 9 · 2021-02-23 15:01:38

137

Views

Constructing a model of non-negative integers $\mathbb{N}$

Published on 23 Feb 2021 - 15:01

score 82 · Answer 10 · 2021-02-24 03:46:11

82

Views

I am trying to prove gcd$(8,20) = 4$

Published on 24 Feb 2021 - 3:46

score 81 · Answer 11 · 2021-02-28 21:34:57

81

Views

Where digit sum matches digit sum of the square - formal name?

Published on 28 Feb 2021 - 21:34

score 22 · Answer 12 · 2021-03-01 14:42:56

22

Views

Is there a formula to find the number of cases where $N$ is expressed as the sum of $M$ integers?

Published on 01 Mar 2021 - 14:42

score 33 · Answer 13 · 2021-03-12 12:15:58

33

Views

Total numbers formation by permutation method

Published on 12 Mar 2021 - 12:15

score 96 · Answer 14 · 2021-03-12 22:25:05

96

Views

Proof by Induction: inequalities and natural numbers.

Published on 12 Mar 2021 - 22:25

score 50 · Answer 15 · 2021-03-13 13:05:08

50

Views

What is a property that looks like it holds for all natural numbers but it turns out it doesn't?

Published on 13 Mar 2021 - 13:05

List Question

Let $X$ be an infinite subset of $\mathbb{N}$. Prove that $|X| = |\mathbb{N}|$

Proof of basic subtraction rules for natural numbers

Prove that there is an infinite number of values of $n$ for which the biggest prime divisor $p$ of $2^{n}-1$ satisfies $p < 2^{n/2021}-1$

Are the natural numbers closed under exponentiation?

How to prove that for any two natural numbers a, b, there exist natural numbers c,d with a + d = b +c

Prove the existence of $n\in\mathbb{N}$ such that $0<1/n<\epsilon$

Minimum value of $ \lceil{an}\rceil-an $, where a is irrational.

A result using Weighted Average

Constructing a model of non-negative integers $\mathbb{N}$

I am trying to prove gcd$(8,20) = 4$

Where digit sum matches digit sum of the square - formal name?

Is there a formula to find the number of cases where $N$ is expressed as the sum of $M$ integers?

Total numbers formation by permutation method

Proof by Induction: inequalities and natural numbers.

What is a property that looks like it holds for all natural numbers but it turns out it doesn't?

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