Question

Is the sum $\sum_p \frac{1}{p^p}$ , $p$ running over the primes, transcendental?

score 139 · Answer 1 · 2026-03-25 07:44:43

139

Views

Is the sum $\sum_p \frac{1}{p^p}$ , $p$ running over the primes, transcendental?

Published on 25 Mar 2026 - 7:44

score 99 · Answer 2 · 2026-03-25 07:40:39

99

Views

$ \pi + e $ or $ \pi - e $ is transcendental

Published on 25 Mar 2026 - 7:40

score 152 · Answer 3 · 2026-03-25 06:12:59

152

Views

Can the sequence of states of a non-halting Turing machine describe an irrational / transcendental number?

Published on 25 Mar 2026 - 6:12

score 423 · Answer 4 · 2026-03-25 16:01:52

423

Views

is $(1+\pi)/(1-\pi)$ a transcendental number?

Published on 25 Mar 2026 - 16:01

score 85 · Answer 5 · 2026-03-25 07:44:40

85

Views

Is there any combination $(+,-,/,\cdot,\sqrt{})$ of algebraic numbers , $a$ and $b$, that becomes transcedental?

Published on 25 Mar 2026 - 7:44

score 291 · Answer 6 · 2026-04-23 03:34:51

291

Views

What is know about the transcendence of inverse trigonometry and inverse hyperbolic functions?

Published on 23 Apr 2026 - 3:34

score 332 · Answer 7 · 2026-04-23 04:50:18

332

Views

is the $\arcsin$ of a transcendental number, algebraic?

Published on 23 Apr 2026 - 4:50

score 238 · Answer 8 · 2026-04-23 12:32:10

238

Views

Density of $\{\sin(x^n)|n\in\mathbb{N}\}$ for $x>1$

Published on 23 Apr 2026 - 12:32

score 174 · Answer 9 · 2026-04-29 12:52:58

174

Views

Show that $[k(t): k(t^4 + t) ] = 4$

Published on 29 Apr 2026 - 12:52

score 89 · Answer 10 · 2026-05-07 13:39:50

89

Views

Rationality of circumference of an ellipsis with rational semi-axes

Published on 07 May 2026 - 13:39

score 161 · Answer 11 · 2026-03-25 07:44:02

161

Views

Can We prove Transcendence of $e$ if we know that $e^{m}$ is Irrational?

Published on 25 Mar 2026 - 7:44

score 75 · Answer 12 · 2026-03-24 23:45:52

75

Views

Finite formula for behaviour of infinite continued fractions

Published on 24 Mar 2026 - 23:45

score 813 · Answer 13 · 2026-04-23 07:55:48

813

Views

What about of $\sum_{n=1}^\infty 1/10^{N_n}$ as transcendental number?

Published on 23 Apr 2026 - 7:55

score 65 · Answer 14 · 2026-03-25 07:45:48

65

Views

Irrational and transcendental numbers of the form $\sum_{n=1}^\infty\frac{\operatorname{rad}(n)^\alpha}{s_n}$: proof verification and examples

Published on 25 Mar 2026 - 7:45

score 281 · Answer 15 · 2026-03-25 07:42:19

281

Views

Are there transcendental numbers that cannot be reached?

Published on 25 Mar 2026 - 7:42

List Question

Is the sum $\sum_p \frac{1}{p^p}$ , $p$ running over the primes, transcendental?

$ \pi + e $ or $ \pi - e $ is transcendental

Can the sequence of states of a non-halting Turing machine describe an irrational / transcendental number?

is $(1+\pi)/(1-\pi)$ a transcendental number?

Is there any combination $(+,-,/,\cdot,\sqrt{})$ of algebraic numbers , $a$ and $b$, that becomes transcedental?

What is know about the transcendence of inverse trigonometry and inverse hyperbolic functions?

is the $\arcsin$ of a transcendental number, algebraic?

Density of $\{\sin(x^n)|n\in\mathbb{N}\}$ for $x>1$

Show that $[k(t): k(t^4 + t) ] = 4$

Rationality of circumference of an ellipsis with rational semi-axes

Can We prove Transcendence of $e$ if we know that $e^{m}$ is Irrational?

Finite formula for behaviour of infinite continued fractions

What about of $\sum_{n=1}^\infty 1/10^{N_n}$ as transcendental number?

Irrational and transcendental numbers of the form $\sum_{n=1}^\infty\frac{\operatorname{rad}(n)^\alpha}{s_n}$: proof verification and examples

Are there transcendental numbers that cannot be reached?

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