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# Questions

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### Can Sierpinski’s anisotropic bicolouring of the plane, assuming the continuum hypothesis (CH), be extended to three dimensions?

jul 22 11 at 13:30 Stefan Geschke 10.6k11537

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### How fast can the base-bumping function in Goodstein’s theorem grow?

may 30 11 at 14:16 Andreas Weiermann 22121

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### What sums of equal powers of consecutive natural numbers are powers of the same order?

feb 11 11 at 12:13 Tito Piezas III 66729

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### What is known about the polynomial factorization of power series?

aug 16 at 16:19 John Bentin 7701411

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### What patterns have been measured in the graph of the number of two-prime-sum representations of even numbers?

feb 4 11 at 5:44 Aaron Meyerowitz 11.8k11031

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### What polynomials biject from $\mathbb{N}^{2}$ to $\mathbb{N}$?

nov 7 10 at 20:23 John Bentin 7701411

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### Is the following statement a correct formulation of the (much doubted) P = NP conjecture?

mar 14 11 at 23:02 Michael Beeson 511210

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### A sequential optimizing task

sep 4 10 at 9:38 John Bentin 7701411

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### How aspherical can a Gömböc be?

feb 23 11 at 11:34 John Bentin 7701411

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