List questions from transcendental-numbers

Published on 13 Feb 2024 - 3:07

546

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Does Schanuel's conjecture imply that $\pi^e$ is transcendental?

Published on 25 Mar 2026 - 22:03

34

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Is the real-imaginary Schanuel's conjecture equivalent to the full Schanuel's conjecture?

Published on 01 Mar 2024 - 15:36

80

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Lesser known forms of Euler's identity

Published on 02 Mar 2024 - 18:08

105

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Might there be an $n^{\text{th}}$ digit of $\pi$ where the sequence becomes palindromic?

Published on 25 Mar 2026 - 13:58

156

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"Nice" values of x such as sin(x) is transcendental

Published on 23 Feb 2026 - 5:45

23

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Images of a vector under the Galois differential group span the solution set

Published on 23 Feb 2026 - 5:43

3.4k

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Proof that at most one of $e\pi$ and $e+\pi$ can be rational

Published on 26 Mar 2026 - 9:41

213

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How to find a transcendental number where no two adjacent decimal digits are equal?

Published on 07 Jan 2015 - 19:54

267

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Prove that $e^n$ is irrational for any natural number $n$

Published on 26 Mar 2026 - 12:58

124

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Is $\frac{\pi}{e}$ an algebraic integer?

Published on 13 Jan 2015 - 12:31

139

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How could we prove that it is not a spanning set.

Published on 20 Jan 2015 - 5:54

1.2k

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Why do transcendental numbers exist?

Published on 20 Jan 2015 - 6:25

63

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Algebraic relations between trigonometric numbers

Published on 29 Jan 2015 - 2:57

292

Views

Does there exist any positive integer $n$ such that $e^n$ is an integer (to show $\log 2$ is irrational)?

Published on 26 Mar 2026 - 12:52

List Question

Proof $\pi$ is transcendental without symmetric function theory

Does Schanuel's conjecture imply that $\pi^e$ is transcendental?

Is the real-imaginary Schanuel's conjecture equivalent to the full Schanuel's conjecture?

Lesser known forms of Euler's identity

Might there be an $n^{\text{th}}$ digit of $\pi$ where the sequence becomes palindromic?

"Nice" values of x such as sin(x) is transcendental

Images of a vector under the Galois differential group span the solution set

Proof that at most one of $e\pi$ and $e+\pi$ can be rational

How to find a transcendental number where no two adjacent decimal digits are equal?

Prove that $e^n$ is irrational for any natural number $n$

Is $\frac{\pi}{e}$ an algebraic integer?

How could we prove that it is not a spanning set.

Why do transcendental numbers exist?

Algebraic relations between trigonometric numbers

Does there exist any positive integer $n$ such that $e^n$ is an integer (to show $\log 2$ is irrational)?

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