`fmpz_euler_phi`

Synopsis#include <flint/fmpz.h>

void fmpz_euler_phi(fmpz_t res, const fmpz_t n)source

Sets res to Euler's totient $\varphi(n)$ , the number of $1 \le k \le n$ with $\gcd(k, n) = 1$ , and to 0 for $n \le 0$ . Word-size $n$ use n_euler_phi; larger $n$ are factored. The function fmpz_factor_euler_phi of fmpz_factor takes a factorisation.

Cite this page

The FLINT team, “fmpz_euler_phi (fmpz.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/fmpz/fmpz_euler_phi.html (generated 2026-11-02).

@misc{flint-doc-fmpz-fmpz-euler-phi,
  author       = {{The FLINT team}},
  title        = {{fmpz\_euler\_phi (fmpz.h)}},
  howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
  year         = {2026},
  url          = {https://flintlib.org/doc/fmpz/fmpz_euler_phi.html},
  note         = {Generated 2026-11-02}
}

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