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johndcook.com

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johndcook.com
johndcook.com > blog > 08/06/2026 > log1000

Calculating log(1000!)

1+ mon, 6+ day ago   (531+ words) The previous post pointed out that the following code such as the following unexpectedly works. If you don’t find this unexpected, note that if you replace math.log with numpy.log the code will fail [1]. Functions like natural logarithm operate…...

johndcook.com
johndcook.com > blog > 07/11/2026 > progress-on-gilbreaths-conjecture

Progress on Gilbreath’s conjecture

2+ mon, 1+ day ago   (162+ words) Years ago I wrote about Gilbreath’s conjecture. It’s a simple conjecture; you could explain it to anyone who understands what prime numbers are. See the linked post for a description of the problem. Gilbreath’s conjecture is simple, but it’s also…...

johndcook.com
johndcook.com > blog > 06/17/2026 > rings-with-lean-claude

Formalizing a ring theorem with Lean 4 and Claude

2+ mon, 3+ week ago   (391+ words) I’ve been testing Claude’s ability to generate Lean 4 code to prove theorems. I’ve written about a couple experiments that verified calculations. I did not write about my failed attempt to get Claude to formalize a proof of the pqr theorem…...