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Their words
Someone needs to define the unit, perhaps using a chain of increasingly hard problems, each pair of which can be solved by a single model.
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The Polymath8b upper bound of 246 on the gap between consecutive primes that appear infinitely often, has held since 2014, but has finally been shaved down to 240 in this recent preprint of Julia Stadlmann: https://arxiv.org/abs/2608.31126 . Her paper is a remarkable effort in the spirit of the original Polymath8b argument, except now done by one mathematician (with the assistance of traditional numerical computation, but not modern AI tools). Ever since the seminal work of Goldston, Pintz, and Yildirim, the progress on this problem has proceeded by carefully designing a "sieve" of bounded in…
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korrents.com
The growth of the religiously unaffiliated in America has stopped and gone into reverse.Their words
There’s clearly been a numerical decline in the nones. That seems pretty hard to ignore now, and it’s showing up in multiple data sources.
America Got a Little More Religious. No, Really.graphsaboutreligion.com
20 March
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Their words
Um and uh I think we would very rapidly abandon any cryptography based on the primes because if there was a one pattern that we didn't know about there's probably more.
9 December 2025
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Their words
But when you pursue efficiency generally you start looking at numerical or mechanical factors and of course in the process you disregard psychological factors where the greater gains may be found and so you focus too heavily on cost reduction and too little on value creation.
14 June 2025
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Their words
So I think in 10 years we will have many more much closer results, we may not have the whole thing. So twin primes is somewhat close. The Riemann hypothesis I have no clue.
1 June 2020
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Primes of the Form x^2 + n y^2Their words
This might seem like a bizarrely specific question to write a whole book about, but that's actually the charm. It covers deep and general ideas, such as class field theory and elliptic functions, which are usually only taught to graduate students, but Cox approaches it all from an extremely concrete question which Fermat thought about.
12 August 2017
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