Question

Existence of infinite set of positive integers s.t sum of reciprocals is rational and set of primes dividing an element is infinite

score 994 · Answer 1 · 2026-04-16 15:45:45

994

Views

Existence of infinite set of positive integers s.t sum of reciprocals is rational and set of primes dividing an element is infinite

Published on 16 Apr 2026 - 15:45

score 28 · Answer 2 · 2026-04-14 11:51:37

28

Views

Algorithm for coefficients in an ascending linear sum

Published on 14 Apr 2026 - 11:51

score 113 · Answer 3 · 2026-04-12 15:03:20

113

Views

Please explain this soviet proof of why sqrt(2) is irrational?

Published on 12 Apr 2026 - 15:03

score 554 · Answer 4 · 2026-04-09 02:44:45

554

Views

About rational numbers as Dedekind cuts.

Published on 09 Apr 2026 - 2:44

score 4k · Answer 5 · 2026-05-11 09:44:13

4k

Views

Is the arc length always irrational between two rational points?

Published on 11 May 2026 - 9:44

score 58 · Answer 6 · 2026-04-09 15:45:04

58

Views

Would a drawing of the rationals on a number line create the appearance of a line, nothing, or both?

Published on 09 Apr 2026 - 15:45

score 525 · Answer 7 · 2026-05-14 09:49:47

525

Views

Applying the Beukers-like irrationality proof for $\zeta(2)$ and $\zeta(3)$ to Catalan's constant: where does it fail?

Published on 14 May 2026 - 9:49

score 15.7k · Answer 8 · 2026-05-10 16:12:56

15.7k

Views

Value of cos 1 (angle is in radians)?

Published on 10 May 2026 - 16:12

score 107 · Answer 9 · 2026-04-14 14:01:54

107

Views

Hardy and Wright irrational sums

Published on 14 Apr 2026 - 14:01

score 281 · Answer 10 · 2026-04-11 04:01:01

281

Views

Is a rational to the power of itself irrational?

Published on 11 Apr 2026 - 4:01

score 172 · Answer 11 · 2026-04-12 20:17:30

172

Views

Questions about cyclic numbers, repeating decimals, and full reptend primes

Published on 12 Apr 2026 - 20:17

score 86 · Answer 12 · 2026-04-15 09:11:10

86

Views

$-(\pi^5)/(2\sqrt{2})\cdot(\cot(\pi/\sqrt{2}))$ is irrational? How to prove it?

Published on 15 Apr 2026 - 9:11

score 86 · Answer 13 · 2026-04-17 09:40:31

86

Views

On the irrationality of $\sum_{n=1}^{\infty} b^{-a_n} $

Published on 17 Apr 2026 - 9:40

score 708 · Answer 14 · 2026-04-16 04:44:37

708

Views

Is $\int_1^\infty\frac{1}{\sqrt{\Gamma(x)}}\mathrm dx$ a rational number?

Published on 16 Apr 2026 - 4:44

score 53 · Answer 15 · 2026-04-15 21:03:27

53

Views

Other Functions $f(x)$ for which Rational $x \neq 0$ Implies that $f(x)$ is Irrational?

Published on 15 Apr 2026 - 21:03

List Question

Existence of infinite set of positive integers s.t sum of reciprocals is rational and set of primes dividing an element is infinite

Algorithm for coefficients in an ascending linear sum

Please explain this soviet proof of why sqrt(2) is irrational?

About rational numbers as Dedekind cuts.

Is the arc length always irrational between two rational points?

Would a drawing of the rationals on a number line create the appearance of a line, nothing, or both?

Applying the Beukers-like irrationality proof for $\zeta(2)$ and $\zeta(3)$ to Catalan's constant: where does it fail?

Value of cos 1 (angle is in radians)?

Hardy and Wright irrational sums

Is a rational to the power of itself irrational?

Questions about cyclic numbers, repeating decimals, and full reptend primes

$-(\pi^5)/(2\sqrt{2})\cdot(\cot(\pi/\sqrt{2}))$ is irrational? How to prove it?

On the irrationality of $\sum_{n=1}^{\infty} b^{-a_n} $

Is $\int_1^\infty\frac{1}{\sqrt{\Gamma(x)}}\mathrm dx$ a rational number?

Other Functions $f(x)$ for which Rational $x \neq 0$ Implies that $f(x)$ is Irrational?

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