padic_val_fac_ui_2, padic_val_fac_ui
Synopsis
#include <flint/padic.h>Return \operatorname{ord}_2(n!) and \operatorname{ord}_p(n!), by Legendre's formula \sum_{k \ge 1} \lfloor n / p^k \rfloor. The result fits in a ulong since \operatorname{ord}_p(n!) \le (n - 1)/(p - 1). padic_val_fac_ui returns 0 if p does not fit in a ulong.
Cite this page
The FLINT team, “padic_val_fac_ui_2, padic_val_fac_ui (padic.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/padic/padic_val_fac_ui_2.html (generated 2026-10-20).
@misc{flint-doc-padic-padic-val-fac-ui-2,
author = {{The FLINT team}},
title = {{padic\_val\_fac\_ui\_2, padic\_val\_fac\_ui (padic.h)}},
howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
year = {2026},
url = {https://flintlib.org/doc/padic/padic_val_fac_ui_2.html},
note = {Generated 2026-10-20}
}