A peaceful day for you,

thank you for your efforts and explications.

i know where the problem comes from:

u should be odd and v even, or inverse !

so the tripple (u,v)=(1,3) is not mentionned in my list.

i learned that for primitiv pyth. tripples that this fact is necessary,

but i did not mentionned it, it was my fault.

I will research if the amount of pyth. triples or the amount of different roots of 1 deliver a better approximation of pi.

Nice greetings from the primes

Bernhard