query: Is $e^{e^9}$ an integer?
positive_passages.docid: 41051
positive_passages.text: How to show $e^{e^{e^{79}}}$ is not an integer
negative_passages.docid: 104643
negative_passages.text: Why do we use this definition of "algebraic integer"?
negative_passages.docid: 286
negative_passages.text: Is it true that $0.999999999\ldots=1$?
negative_passages.docid: 148647
negative_passages.text: If $\dfrac{4x^2-1}{4x^2-y^2}$ is an integer, then it is $1$
negative_passages.docid: 40837
negative_passages.text: Why $e^{i(π/3)} \ne -1$?
negative_passages.docid: 124240
negative_passages.text: Inductive proof of $\,9 \mathrel| 4^n+6n-1\,$ for all $\,n\in\Bbb N$
negative_passages.docid: 157954
negative_passages.text: How many digits does the integer zero have?
negative_passages.docid: 44400
negative_passages.text: $e^{2\pi i x} = (e^{2\pi i})^x$: What happens if x is rational?
negative_passages.docid: 140144
negative_passages.text: Can you find an element of order 10 in $\mathbb{Z}_{31}^{*}$
negative_passages.docid: 51221
negative_passages.text: Is $x^3-9$ irreducible over the integers mod 31?
negative_passages.docid: 117380
negative_passages.text: Divisibility Rule for 9
negative_passages.docid: 76925
negative_passages.text: Algebraic proof that if $a>0$ then $1+a^9 \leq \frac{1}{a}+a^{10} $
negative_passages.docid: 78946
negative_passages.text: Why does casting out $9$ and $11$ work to compute remainders?
negative_passages.docid: 32316
negative_passages.text: Are all integers fractions?
negative_passages.docid: 87626
negative_passages.text: Why are all $n$, s.t. the sum of digits of $n$ and $n^2$ coincide, $\equiv 0,1 \bmod 9$
negative_passages.docid: 140459
negative_passages.text: Why is $\left(e^{2\pi i}\right)^i \neq e^{-2 \pi}$?
negative_passages.docid: 136763
negative_passages.text: What are the possible integer values for $x,y,z$ if $792|\overline{5x36y98z2}$?