Claims

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2021_08_07_wang: Wang proves, under unproved L-function hypotheses, that sums of three nonnegative cubes have positive lower density, so the sums of at most three 3-powerful numbers do not have density 0; a conditional preprint.

2026_07_26_beyer_de_ryke: Beyer de Ryke claims that the integers not representable as sums of at most three 3-powerful numbers have positive lower density, answering the infinitude question of Problem 940 at r = 3; unrefereed, with no review.

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