List questions from exponentiation

88

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$U(n) =$ the smallest strictly positive integer $k$ such that $2^k-1$ is divisible by the first $n$ primes. What are the first values of $U(n)$?

Published on 14 Jul 2014 - 20:16

1.5k

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Solving base e equation $e^x - e^{-x} = 0$

Published on 25 Mar 2026 - 9:22

120

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Find the value of $\frac{S_{5}S_{2}}{S_{7}}$

Published on 15 Jul 2014 - 16:00

147

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Is $\lim_{x\to 0+} \frac{\ln(x)}{\ln(x)} = \frac{-\infty}{-\infty} = 1$

Published on 20 Jul 2014 - 11:22

3.3k

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Proving exponential is growing faster than polynomial

Published on 20 Jul 2014 - 18:45

169

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How to show that $w$ is a $N$th primitive root of unity?

Published on 27 Mar 2026 - 6:17

273

Views

Calculating limit in parts. Why possible?

Published on 21 Jul 2014 - 18:02

101

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Square root of $\frac{2}{2^x}$; how do I find $x$?

Published on 28 Mar 2026 - 20:58

607

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Combination of quadratic and cubic series

Published on 24 Jul 2014 - 12:54

197

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Why, or why not, is $5^{log_3(n)} \in \mathcal{O}(n^2)$?

Published on 24 Jul 2014 - 13:03

96

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$x^y < y^x$ for $y\ll x$?

Published on 24 Jul 2014 - 22:00

100

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Convergence of an infinite power

Published on 25 Mar 2026 - 13:04

128

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Transforming a power tower to a product

Published on 26 Mar 2026 - 21:08

653

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Converting exponents to scientific notation

Published on 29 Jul 2014 - 20:20

1.5k

Views

Solving $e^{4x}+3e^{2x}-28=0$

Published on 31 Jul 2014 - 20:54

List Question

$U(n) =$ the smallest strictly positive integer $k$ such that $2^k-1$ is divisible by the first $n$ primes. What are the first values of $U(n)$?

Solving base e equation $e^x - e^{-x} = 0$

Find the value of $\frac{S_{5}S_{2}}{S_{7}}$

Is $\lim_{x\to 0+} \frac{\ln(x)}{\ln(x)} = \frac{-\infty}{-\infty} = 1$

Proving exponential is growing faster than polynomial

How to show that $w$ is a $N$th primitive root of unity?

Calculating limit in parts. Why possible?

Square root of $\frac{2}{2^x}$; how do I find $x$?

Combination of quadratic and cubic series

Why, or why not, is $5^{log_3(n)} \in \mathcal{O}(n^2)$?

$x^y < y^x$ for $y\ll x$?

Convergence of an infinite power

Transforming a power tower to a product

Converting exponents to scientific notation

Solving $e^{4x}+3e^{2x}-28=0$

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