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 Curious
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17h
revised Finding triplets $(a,b,c)$ such that $\sqrt{abc}\in\mathbb N$ divides $(a-1)(b-1)(c-1)$
Remove spurious *; normalise the colons just to change at least 6 characters.
18h
suggested approved edit on Finding triplets $(a,b,c)$ such that $\sqrt{abc}\in\mathbb N$ divides $(a-1)(b-1)(c-1)$
Aug
11
comment Approximating $\pi$ by an expression of the form $\sqrt{\sqrt{ \cdots \sqrt{ n!! \cdots !}}}$
@wltrup Your tongue in cheek answer uses 4 0s and 3 1s.
Jul
28
comment 'Obvious' theorems that are actually false
If you consider a finite number of sets $V_n$, and take a limit it does seem plausible, not quite obviously false.
Jul
9
revised How to prove that $\frac{(5m)!(5n)!}{(m!)(n!)(3m+n)!(3n+m)!}$ is a natural number?
Another idea; typo
Jul
9
revised How to prove that $\frac{(5m)!(5n)!}{(m!)(n!)(3m+n)!(3n+m)!}$ is a natural number?
Another idea
Jun
29
reviewed No Action Needed Why is zero the only infinitesimal real number?
Jun
29
revised How to read this in English?
especially
Jun
29
accepted Countably infinite and monotonically countably infinite
Jun
23
awarded  Curious
Jun
22
revised Countably infinite and monotonically countably infinite
I changed "not dense" to "nowhere dense".
Jun
22
comment Countably infinite and monotonically countably infinite
@Stefan's answer has effectively shown there is no "intermediate" set of the form I'm considering, but, yes, my problem with the current wording of my assumed question is that it should probably say "nowhere dense".
Jun
22
comment Countably infinite and monotonically countably infinite
I assume I need to specify some sort of "continuity", but that probably implies "denseness". E.g. Any set similar to $ \mathbb Q \backslash (1,2) $ has a non-dense part.
Jun
22
asked Countably infinite and monotonically countably infinite
Jun
17
comment What's the smallest number with first digit 1 that triples when this digit is moved to the end?
Yeah, given my knowledge of $142857$ and its properties, my personal answer to the OP was "OK $142857$ is an answer, is there a smaller one?"
Jun
9
comment What is the smallest unknown natural number?
Also, if it's not $1$ it is very large, given the work done on it.
Jun
9
comment What is the most unusual proof you know that $\sqrt{2}$ is irrational?
Isn't this assuming the result in the last step? Why can't this contraction happen to map a $\mathbb{Z}^2$ to another $\mathbb{Z}^2$?
Jun
5
comment Prove that there is a real number $a$ such that $\frac{1}{3} \leq \{ a^n \} \leq \frac{2}{3}$ for all $n=1,2,3,…$
Yeah, but just adjusting the final $2$ to a $3$ due to rounding, by $a^{14}$ that corresponds to a difference of $0.78370$, and for $a^{15}$ it's $4.720$, so it really does require more decimal places by then.
May
12
comment Where does the constant increase by 2 of differences between integer square values come from?
IMHO even more intuition comes from shifting the yellow squares to the top right.
May
11
revised Accidents of small $n$
Mention I'm excluding leading zeros