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Salmon
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46
Do we know of an explicit real number that is not in the set produced by the convergent rational series?
Aug 21, 2025
23
Is there a nonaffine smooth function $f:\mathbb{R}\to\mathbb{R}$ such that $f(\mathbb{Q})=\mathbb{Q}$?
Mar 23
15
If two matrices have the same characteristic polynomial then do they have the same determinant?
Jun 24, 2023
14
Prove that except for $n=1$, there are more topologies of size $n$ than groups of order $n$
Feb 9
14
Is there a set $A\subseteq\mathbb{R}$ that is not dense, not bounded from above, and not bounded from below such that $A+A=3A$?
Mar 24
12
Is every nonnegative integer the crossing number of a graph? [closed]
May 14, 2025
11
Is there a good set with degree $3$?
Apr 19
10
We roll a die $n$ times. Let $X_n$ be the number of times that $123456$ appears. For $n=6^7+5$, how can we prove that $P(X_n>0)\geq \frac{5}{6}$?
Jan 26, 2025
10
Is there a smooth bounded $f$ such that for all distinct nonnegative integers $m,n$ and all $x\in\mathbb{R}$ we have $f^{(m)}(x)\neq f^{(n)}(x)$?
Mar 23
9
"Calculus on Manifolds" by Michael Spivak vs "Introduction to Smooth Manifolds" by John M. Lee (Edited)
Apr 21, 2025

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Prove that except for $n=1$, there are more topologies of size $n$ than groups of order $n$