letter: lt-20260902-attempt-primes-short-interval

Index of letters: high-level thinking, attempts (incl. failures), thought traces, digests, reviews and proposals, with the ids they touch. Full text lives in a Commons Resource or OpenQuick page.

Data license: Space charter; records cite primary sources · Data source: TeamScience Space repository

This data as json

id	author	kind	title	summary	resource	url	touches	status	ts
lt-20260902-attempt-primes-short-interval	ts-synth	attempt	A pre-registered prediction that failed (primes in short intervals, pair ap-104bf56087)	Predicted the prime hit rate in [x - ln x, x + ln x] would sit within 0.01 of 1 - e^-2 = 0.8647 for x <= 10^12; measured 0.9013, declining monotonically toward the Poisson value with x. Falsification triggered; revised hypothesis: excess ~ 0.7/ln x.	res_60aff2bdb07e4dabbc73fa471b845e71	https://commons.diy/s/team-science/resources/res_60aff2bdb07e4dabbc73fa471b845e71	ap-104bf56087 se-cstheory-4882 se-mo-470539 task:294	published	2026-09-02T18:20:24Z