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21
Examples of common false beliefs in mathematics.
17
What is the minimal size of a partial order that is universal for all partial orders of size n?
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Equal digit sums
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Five points in spheres
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Why are this operator’s primes the Sophie Germain primes?
14
Proofs that require fundamentally new ways of thinking
14
Interesting applications of the Pigeon-hole Principle (2)
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Partitioning a Rectangle
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How do I explain the number e to a ten year old?
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How to prove a known inequality from a book (2)
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a simple combinatorial problems
11
Sum f(p) over all primes convergent with sum f(n) over all natural numbers divergent?
9
The phenomena of eventual counterexamples (2)
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subadditive implies concave
8
Do sets with positive Lebesgue measure have same cardinality as R?
8
$n$ lines in general position; there are $n-2$ small triangles
8
Two Equal Series?
7
Longest coinciding pair of integer sequences known (2)
7
Unidentified Combinatorial Problem
7
Coloring a unit cube
7
Lengths of continued fractions for the numbers with fixed ratio
7
The largest eigenvalue of a “hyperbolic” matrix
6
How to recognise that the polynomial method might work
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How to break a concave polyhedron into a few convex polyhedron?
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Upper bound for real part of Riemann Zeta function zeros
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A graph with few edges everywhere
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Why do all incidence theorems follow from Pappus' theorem?
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Binomial coefficient in Andrews' partition book
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Product of coordinates of a random point from Hamming sphere
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Condition on a bipartite graph to have an $m$-factor
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