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Mathematics
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TheSimpliFire
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My favourite result is the Brouchard-Gulusuyok theorem which arises in iterated tube map theory.

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109
Can we remove any prime number with this strange process?
Jul 8, 2019
question
48
How to evaluate double limit of multifactorial $\lim\limits_{k\to\infty}\lim\limits_{n\to 0} \sqrt[n]{n\underbrace{!!!!\cdots!}_{k\,\text{times}}}$
Feb 18, 2021
question
47
Is each of $\int_0^\infty\frac{dx}{x^x},\int_0^\infty\frac{dx}{x^{x^{x^x}}},\int_0^\infty\frac{dx}{x^{x^{x^{x^{x^x}}}}},\cdots$ less than $2$?
Feb 15, 2022
question
38
Is $100$ the only square number of the form $a^b+b^a$?
Jul 14, 2019
question
37
Are these continued fractions of integrals known?
Jul 6, 2019
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34
Show that the maximum value of this nested radical is $\phi-1$
Jan 5, 2019
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33
Sum of digits of $a^b$ equals $ab$
Feb 24, 2019
answer
30
Let $A=(a_{ij})$ be an $n\times n$ matrix. Suppose that $A^2$ is diagonal. Must $A$ be diagonal?
Apr 12, 2018
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29
Prove that $\int_0^\infty\frac1{x^x}\, dx<2$
Dec 30, 2017
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28
Show that $\left(\frac{x_1^{x_2}}{x_2}\right)^p+\left(\frac{x_2^{x_3}}{x_3}\right)^p+\cdots+\left(\frac{x_n^{x_1}}{x_1}\right)^p\ge n$ for any $p\ge1$
Oct 16, 2021
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Make 0 0 0 0 = 8
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Is $\int_0^\infty{dx\over x^{x^{x^x}}}<\int_0^\infty{dx\over x^{x^{x^{x^{x^x}}}}}<\int_0^\infty{dx\over x^{x^{x^{x^{x^{x^{x^x}}}}}}}<\cdots$ true?
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In molecular mechanics, how are van der Waals forces modelled?
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