James Maynard (UK) Prime number genius. He proved there are infinitely many primes with bounded gaps (e.g., you can find primes differing by at most some fixed even number, no matter how large). Also huge advances in Diophantine approximation.

I’m honored to have the endorsement of State Representative Cody Maynard, CPA, a strong conservative voice for House District 21. Cody understands something that matters deeply in this race: Oklahoma needs a Governor who knows how to actually cut waste, lower taxes, and hold government accountable for every taxpayer dollar. As Cody put it: “When you’ve paid for your home and your land, you ought to be able to truly call it yours. Oklahomans shouldn’t spend the rest of their lives paying rent to the government on property they already own.” I couldn’t agree more. As Governor, I’ll work with Cody and other conservative legislators to eliminate property taxes for Oklahoma seniors and veterans, protect essential services, cut waste, and put more money back in the hands of Oklahoma families. Thank you, Cody, for your support and for your commitment to principled, conservative leadership. Tomorrow, let’s finish the job. Vote Mike Mazzei for Governor.

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wow apparently there is now stronger result on large prime gap by GPT 5.6, improving beyond the previous best result of Ford-Green-Konyagin-Maynard-Tao [2014] by factor of log3 X / (log4 X)^2. I recall tao mentioning that it would require genuinely new idea to break his result, and that seems to be the case here. + its been verified in lean unconditionally?

The Scottish government said today that work is now underway to move transgender prisoners from women's jails after a court ruling in Edinburgh last week. Why aren't Irish politicians paying attention? asks MARIA MAYNES:

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