FLINT3.7.0-dev

fmpz_lucas_chain, fmpz_lucas_chain_full

Synopsis#include <flint/fmpz.h>
void fmpz_lucas_chain(fmpz_t Vm, fmpz_t Vm1, const fmpz_t A, const fmpz_t m, const fmpz_t n)source
void fmpz_lucas_chain_full(fmpz_t Vm, fmpz_t Vm1, const fmpz_t A, const fmpz_t B, const fmpz_t m, const fmpz_t n)source

Set V_m and V_{m+1} modulo n for the Lucas sequence V_0 = 2, V_1 = A, V_j = A V_{j-1} - V_{j-2} (respectively A V_{j-1} - B V_{j-2}), by the doubling formulas. No aliasing is allowed.

Cite this page

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