1 research outputs found
The Erd\H{o}s-Straus conjecture New modular equations and checking up to
In 1999 Allan Swett checked (in 150 hours) the Erd\H{o}s-Straus conjecture up
to with a sieve based on a single modular equation. After having
proved the existence of a "complete" set of seven modular equations (including
three new ones), this paper offers an optimized sieve based on these equations.
A program written in C++ (and given elsewhere) allows then to make a checking
whose running time, on a typical computer, range from few minutes for
to about 16 hours for .Comment: 13 pages, 1 version fran\c{c}aise, 1 C++ progra