`arith_bernoulli_number_denom`

Synopsis#include <flint/arith.h>

void arith_bernoulli_number_denom(fmpz_t den, ulong n)source

Sets den to the denominator of $B_n$ in lowest terms: 1 for odd $n \ge 3$ and $n = 0$ , 2 for $n = 1$ , and for even $n \ge 2$ the product of the primes $p$ with $(p - 1) \mid n$ , by the von Staudt–Clausen theorem. Values for $n \le 178$ are read from a table.

Cite this page

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

@misc{flint-doc-arith-arith-bernoulli-number-denom,
  author       = {{The FLINT team}},
  title        = {{arith\_bernoulli\_number\_denom (arith.h)}},
  howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
  year         = {2026},
  url          = {https://flintlib.org/doc/arith/arith_bernoulli_number_denom.html},
  note         = {Generated 2026-11-02}
}

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