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4-Color Theorem question - is the set of 4-vertex-colorings of a planar graph closed under Kempe switching?

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#graph-theory #open-problem
167
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Is $2^{\sqrt{2}} +3^{\sqrt{3}}$ rational?

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#soft-question #open-problem
1.1k
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Would this proof strategy work for proving the lonely runner conjecture?

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#combinatorics #number-theory #open-problem
1.3k
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Solve $x^5 + y^5 + z^5 = 2015$

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#elementary-number-theory #diophantine-equations #open-problem
305
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Infinite torsion CAT(0) groups

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#group-theory #metric-spaces #geometric-group-theory #open-problem
7.2k
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What are some things we can prove they must exist, but have no idea what they are?

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#soft-question #big-list #open-problem
785
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What does the Grothendieck's period conjecture mean?

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#algebraic-geometry #schemes #open-problem #sheaf-cohomology
52
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Integers $n\geq 2$ such that there is an integer $k>1$ that divides both $n$ and $(n/k)+1$

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#sequences-and-series #number-theory #elementary-number-theory #open-problem
213
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Up to which value is Rassias' conjecture verified?

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#number-theory #prime-numbers #conjectures #open-problem
446
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Is it possible for extremely ingenious but elementary proofs for famous problems to exist?

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#number-theory #education #problem-solving #open-problem #big-picture
3.2k
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Fractional oblongs in unit square via the Paulhus packing technique

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#sequences-and-series #combinatorics #mathematica #packing-problem #open-problem
87
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Covering unit square

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#computer-science #discrete-geometry #packing-problem #open-problem
785
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The four runner problem/conjecture

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#number-theory #reference-request #conjectures #open-problem
6.9k
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Past open problems with sudden and easy-to-understand solutions

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#soft-question #math-history #big-list #open-problem
318
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Measure of convex hulls

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#measure-theory #geometric-measure-theory #open-problem

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