top: THEORY %------------------------------------------------------------------------- % Numbers library % % Authors: Rick Butler NASA Langley % Anthony Narkawicz NASA Langley % Alfons Geser HTWK Leipzig, Germany %------------------------------------------------------------------------- BEGIN
IMPORTING
prime_factorization, % factorization into primes
unique_factorization, % factorization is unique
product_perm_lems,
infinite_primes, % set of primes has infinite cardinality
sqrt_two, % sqrt(2) irrational
eq_mod,
primes_sum_squares, % every prime p with mod(p,4)=1 is a sum of two squares
chinese_remainder,
fermats_little_theorem % every prime p satisfies mod(a^p,p) = a for all a < p