FLINT3.7.0-dev

arith_euler_number_size

Synopsis#include <flint/arith.h>
double arith_euler_number_size(ulong n)source

Returns b such that |E_n| < 2^{\lfloor b \rfloor}, from |E_n| < 2^{n+2} n!/\pi^{n+1} and n! \le (n+1)^{n+1} e^{-n}. Odd n are not treated specially. Not guaranteed for n > 10^{14}.

Cite this page

The FLINT team, “arith_euler_number_size (arith.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/arith/arith_euler_number_size.html (generated 2026-10-20).