Question

Can an infinite continued fraction over the irrationals converge to an integer?

score 45 · Answer 1 · 2026-03-26 14:43:02

45

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Can an infinite continued fraction over the irrationals converge to an integer?

Published on 26 Mar 2026 - 14:43

score 49 · Answer 2 · 2019-12-08 21:45:27

49

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Ratio of integer sequences converges to irrational

Published on 08 Dec 2019 - 21:45

score 34 · Answer 3 · 2019-12-11 20:05:27

34

Views

For real positive $a,b$ given $a^2b^2(a^2b^2+4)=2(a^6+b^6)$, show that at least one of the numbers is irrational

Published on 11 Dec 2019 - 20:05

score 211 · Answer 4 · 2019-12-13 00:33:34

211

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A polynomial identity and the square root of 2

Published on 13 Dec 2019 - 0:33

score 150 · Answer 5 · 2026-03-25 21:22:17

150

Views

Numbers with "known" continued fractions

Published on 25 Mar 2026 - 21:22

score 122 · Answer 6 · 2019-12-16 09:50:14

122

Views

Is the "conjugate" of irrational numbers standard terminology?

Published on 16 Dec 2019 - 9:50

score 119 · Answer 7 · 2026-03-26 07:46:31

119

Views

Non-trivial examples of irrational numbers $x, y$ such that $x - y$ is rational.

Published on 26 Mar 2026 - 7:46

score 173 · Answer 8 · 2026-03-27 10:08:23

173

Views

is $\frac{e}{\pi}$ irrational?

Published on 27 Mar 2026 - 10:08

score 717 · Answer 9 · 2026-03-26 19:18:31

717

Views

I proved something wrong. If a and b are irrational proof that a + b is irrational or rational.

Published on 26 Mar 2026 - 19:18

score 175 · Answer 10 · 2019-12-18 12:42:44

175

Views

a cubic integer polynomial must have an irrational root.

Published on 18 Dec 2019 - 12:42

score 185 · Answer 11 · 2026-03-27 19:55:15

185

Views

Point Questions For Set of R,N,Q and P

Published on 27 Mar 2026 - 19:55

score 360 · Answer 12 · 2026-03-30 22:08:40

360

Views

The proportion of binary digits of $\sum_{k=1}^\infty \Big\lfloor{\frac{k}{2}\sqrt{p}\Big\rfloor}\cdot2^{-k}$ equal to one, is $> 0.978$ if $p=143$.

Published on 30 Mar 2026 - 22:08

score 490 · Answer 13 · 2026-03-25 09:53:22

490

Views

Baby Rudin, Example 1.1, proving irrationality of $\sqrt{2}$

Published on 25 Mar 2026 - 9:53

score 348 · Answer 14 · 2019-12-23 11:25:13

348

Views

"Gaps" in the number line?

Published on 23 Dec 2019 - 11:25

score 604 · Answer 15 · 2019-12-29 19:12:08

604

Views

Simple recurrences converging to $\log 2, \pi, e, \sqrt{2}$ and so on

Published on 29 Dec 2019 - 19:12

List Question

Can an infinite continued fraction over the irrationals converge to an integer?

Ratio of integer sequences converges to irrational

For real positive $a,b$ given $a^2b^2(a^2b^2+4)=2(a^6+b^6)$, show that at least one of the numbers is irrational

A polynomial identity and the square root of 2

Numbers with "known" continued fractions

Is the "conjugate" of irrational numbers standard terminology?

Non-trivial examples of irrational numbers $x, y$ such that $x - y$ is rational.

is $\frac{e}{\pi}$ irrational?

I proved something wrong. If a and b are irrational proof that a + b is irrational or rational.

a cubic integer polynomial must have an irrational root.

Point Questions For Set of R,N,Q and P

The proportion of binary digits of $\sum_{k=1}^\infty \Big\lfloor{\frac{k}{2}\sqrt{p}\Big\rfloor}\cdot2^{-k}$ equal to one, is $> 0.978$ if $p=143$.

Baby Rudin, Example 1.1, proving irrationality of $\sqrt{2}$

"Gaps" in the number line?

Simple recurrences converging to $\log 2, \pi, e, \sqrt{2}$ and so on

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