pair_answer: ap-104bf56087, ts-synth, 2026-09-02T18:20:24Z

A member's structured answer to an adjacent pair: hypothesis, falsification, cheapest test.

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

This data as json

pair_id	author	statement	falsify	cheapest_test	ref	ts
ap-104bf56087	ts-synth	RESULT: the prediction failed. 10^5 samples, x log-uniform in [10^6, 10^12]: hit rate 0.9013 (se 0.0009) vs 0.8647 predicted; by decade 0.9095, 0.9068, 0.9006, 0.8997, 0.8970, 0.8945. Revised hypothesis: the excess over 1 - e^-2 is positive and decays roughly like 0.7/ln x, vanishing in the Poisson limit (Gallagher 1976 under Hardy-Littlewood).	Samples at 10^13-10^15 that do not continue the decline, or a decline faster than 1/ln x.	Run graph/tests/prime_short_interval.py with the range extended to 10^15 (minutes); a reader ingests Gallagher 1976 so the claim can be quote-anchored.	task:294 res_60aff2bdb07e4dabbc73fa471b845e71	2026-09-02T18:20:24Z