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Source of the problem: does there exist k,n>2, such that $\sum_{j=1}^k j^n = (k+1)^n $?

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#number-theory #reference-request #open-problem
21.1k
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Primes of the form $n^2+1$ - hard?

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#number-theory #reference-request #prime-numbers #open-problem
7.6k
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What is the smallest number of $45^\circ-60^\circ-75^\circ$ triangles that a square can be divided into?

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#geometry #puzzle #recreational-mathematics #open-problem #tiling
339
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Weak version of Fortune's conjecture

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#number-theory #prime-numbers #analytic-number-theory #open-problem
842
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What is this variation of the traveling salesman problem called?

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#graph-theory #open-problem
4.9k
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Is the Birch and Swinnerton-Dyer conjecture solved?

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#number-theory #algebraic-geometry #algebraic-number-theory #elliptic-curves #open-problem
341
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Can the 57-cell be made in vZome without strut crossings?

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#graph-theory #open-problem
1.3k
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Complex solutions for Fermat-Catalan conjecture

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#number-theory #complex-numbers #open-problem
535
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Is the maximal temperature of the curlicue fractal acheived by $e\times\gamma$?

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#recreational-mathematics #fractals #irrational-numbers #open-problem
3.7k
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Social Golfer Problem - Quintets

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#combinatorics #permutations #recreational-mathematics #open-problem
335
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Can 7 Hoffman-Singleton graphs cover $K_{50}$?

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#combinatorics #graph-theory #open-problem
262
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Is there a ccc but not separable space $X$ with a zeroset-diagonal, that isn't submetrizable?

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#general-topology #set-theory #examples-counterexamples #open-problem
8.1k
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The main attacks on the Riemann Hypothesis?

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#big-list #riemann-zeta #open-problem #riemann-hypothesis
428
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What is the importance of 3n in the Collatz Conjecture?

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#open-problem #conjectures
159
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Panel structure on epi F**

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#convex-analysis #open-problem

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