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Proving $e$ is irrational using its reciprocal and the inequality $0<e^{-1}-s_{2n-1}<\frac{1}{(2n)!}$.

score 188 · Answer 1 · 2026-04-16 05:46:24

188

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Proving $e$ is irrational using its reciprocal and the inequality $0<e^{-1}-s_{2n-1}<\frac{1}{(2n)!}$.

Published on 16 Apr 2026 - 5:46

score 596 · Answer 2 · 2026-05-10 18:59:45

596

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Proof of the irrationality of $\sqrt{2}$.

Published on 10 May 2026 - 18:59

score 216 · Answer 3 · 2026-05-12 14:10:30

216

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Brun’s constant and irrational numbers

Published on 12 May 2026 - 14:10

score 229 · Answer 4 · 2026-04-15 03:44:53

229

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What is the geometric interpretation of this limit :$\lim_{n\to {+\infty}}\zeta(n)+\zeta(\frac1n)=\frac12$?

Published on 15 Apr 2026 - 3:44

score 131 · Answer 5 · 2026-05-10 16:35:50

131

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Upper bound of the integral $\frac{a^{n}}{n!}\int_{0}^{1} e^{at} t^{n}(1-t)^{n}dt$.

Published on 10 May 2026 - 16:35

score 84 · Answer 6 · 2026-04-11 20:10:48

84

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Periodic representation of pi in varying base system

Published on 11 Apr 2026 - 20:10

score 757 · Answer 7 · 2026-05-10 13:50:27

757

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What is the usefulness of classification into Transcedental and Algebraic numbers?

Published on 10 May 2026 - 13:50

score 1.3k · Answer 8 · 2026-04-13 17:26:53

1.3k

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Prove there is a square of a rational number between any two positive real numbers

Published on 13 Apr 2026 - 17:26

score 100 · Answer 9 · 2026-04-14 20:19:29

100

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Is $\pi$ a property of mathematical expressions or algorithms?

Published on 14 Apr 2026 - 20:19

score 529 · Answer 10 · 2026-05-05 02:47:19

529

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Showing $\pi$ is irrational using taylor's theorem

Published on 05 May 2026 - 2:47

score 62 · Answer 11 · 2026-04-17 00:12:44

62

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Is it true that $ e $ is equal to this?

Published on 17 Apr 2026 - 0:12

score 1.2k · Answer 12 · 2026-04-10 15:29:34

1.2k

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Complex number raised to irrational power

Published on 10 Apr 2026 - 15:29

score 102 · Answer 13 · 2026-04-15 18:27:30

102

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Series of the form $\sum \frac {1}{{p_k}^n}$

Published on 15 Apr 2026 - 18:27

score 100 · Answer 14 · 2026-04-17 13:44:40

Do the digits(after comma) of the irrational number $\sqrt{2}$ contain all natural numbers without jumping order?

score 85 · Answer 15 · 2026-04-09 10:51:56

85

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Question about Proof that $r + x \in \mathbb{I}$

Published on 09 Apr 2026 - 10:51

List Question

Proving $e$ is irrational using its reciprocal and the inequality $0<e^{-1}-s_{2n-1}<\frac{1}{(2n)!}$.

Proof of the irrationality of $\sqrt{2}$.

Brun’s constant and irrational numbers

What is the geometric interpretation of this limit :$\lim_{n\to {+\infty}}\zeta(n)+\zeta(\frac1n)=\frac12$?

Upper bound of the integral $\frac{a^{n}}{n!}\int_{0}^{1} e^{at} t^{n}(1-t)^{n}dt$.

Periodic representation of pi in varying base system

What is the usefulness of classification into Transcedental and Algebraic numbers?

Prove there is a square of a rational number between any two positive real numbers

Is $\pi$ a property of mathematical expressions or algorithms?

Showing $\pi$ is irrational using taylor's theorem

Is it true that $ e $ is equal to this?

Complex number raised to irrational power

Series of the form $\sum \frac {1}{{p_k}^n}$

Do the digits(after comma) of the irrational number $\sqrt{2}$ contain all natural numbers without jumping order?

Question about Proof that $r + x \in \mathbb{I}$

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