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 52 · Answer 2 · 2026-04-13 12:22:22

52

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Ratio of integer sequences converges to irrational

Published on 13 Apr 2026 - 12:22

score 37 · Answer 3 · 2026-04-16 11:00:14

37

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 16 Apr 2026 - 11:00

score 214 · Answer 4 · 2026-04-12 08:31:30

214

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A polynomial identity and the square root of 2

Published on 12 Apr 2026 - 8:31

score 151 · Answer 5 · 2026-05-11 01:18:19

151

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Numbers with "known" continued fractions

Published on 11 May 2026 - 1:18

score 125 · Answer 6 · 2026-04-12 08:49:37

125

Views

Is the "conjugate" of irrational numbers standard terminology?

Published on 12 Apr 2026 - 8:49

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

119

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

Published on 26 Mar 2026 - 7:46

score 175 · Answer 8 · 2026-04-11 00:23:01

175

Views

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

Published on 11 Apr 2026 - 0:23

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 178 · Answer 10 · 2026-04-14 07:34:19

178

Views

a cubic integer polynomial must have an irrational root.

Published on 14 Apr 2026 - 7:34

score 187 · Answer 11 · 2026-04-13 16:41:26

187

Views

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

Published on 13 Apr 2026 - 16:41

score 362 · Answer 12 · 2026-04-16 16:01:51

362

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 16 Apr 2026 - 16:01

score 493 · Answer 13 · 2026-05-11 08:00:47

493

Views

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

Published on 11 May 2026 - 8:00

score 351 · Answer 14 · 2026-04-13 12:21:37

351

Views

"Gaps" in the number line?

Published on 13 Apr 2026 - 12:21

score 607 · Answer 15 · 2026-04-15 09:14:40

607

Views

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

Published on 15 Apr 2026 - 9:14

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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