Jason Moxham <J.L.Moxham@maths.soton.ac.uk> writes: I done some preliminary work on a few algorithms ,and even in a completely un-optimized form have got some good results for some of the following functions , other results , not so good :( mpz_root using varible precision , division free newton method What is needed is mpn_rootrem with these properties. mpz_root should not change. -- Torbjörn