This just popped up in my inbox. https://www.quantamagazine.org/mathematical-trio-advances-centuries-old-number-theory-problem-20221129/?mc_cid=27b6cad563&mc_eid=2bb28479cf

"Now, in a paper posted online in late October, Alpöge, Bhargava and Shnidman have shown that at least 2/21 (about 9.5%) and at most 5/6 (about 83%) of whole numbers can be written as the sum of two cubed fractions."

(https://arxiv.org/abs/2210.10730 "
Integers expressible as the sum of two rational cubes")

Those limits are bloody wide for a peer-reviewed, published paper.

I wonder what the #WidestRange has ever been a focus of a #reputable #PeerReviewed paper?
(range, normalised, expressed as a percentage, I suppose)

#NumberTheory #Mathematics #WittyBuggers #readThePaper
#RationalCubes