Wiki
Wiki

Research notes on every problem, and a library of the papers behind them. Built from the open erdos repository.

Updated

Claims

../

1976_01_01_lin: Lin's Bell Laboratories memorandum shows that no sum of distinct factorials beginning with 2! is divisible by 2^255, so f(2,2) is at most 254 and the first question has the answer yes at a = 2, p = 2; reported by the site.

2026_07_07_kitamura: Kenta Kitamura's repository computes f(a,2) exactly for every a from 1 to 256, each value certified by a witness and an exhaustive finite search; prepared with Codex 5.5, ChatGPT 5.5 Pro and Claude Code (Fable 5).

2026_07_08_kitamura: Kenta Kitamura's companion repository computes exact values of f(a,p) for some pairs with p = 3, 5, 7, 11, 13, such as f(3,3) = 3; prepared with Codex, ChatGPT and Claude Code (Fable 5).