Quote:
Originally Posted by Batalov
Refrigerator can easily do 'Grmmmmmmmmmm' and not work actually.

Of course! And quiet too on Peltier elements) This joke mainly about our understanding of life consciousness
Quote:
Originally Posted by Dr Sardonicus
Do you mean b^n  a?

No. Talk was about
quadratric case; yes for higher orders.
Quote:
Originally Posted by RomanM
***
Take some integer u>sqrt(p), b=mod(u^2,p); a=mod(b^2,p)=mod(u^4,p);
[From (by)^2==0 mod p
b^22*b*y+y^2==0 mod p or a2*b*y+y^2==0;
Solution: y=bsqrt(b^2a) (and y=b+sqrt(b^2a), using first)
Make y an integer, and compute t= by =ceil(sqrt(b^2a))]
***

(by)^3=b^33*b^2*y+3*b*y^2y^3
if b<sqrt(p) and b^3>p, a=mod(b^3,p)
one roots (of 3)
((b)^3+a)^(1/3)+b
(by)^4
root
(b^4a)^(1/4)+b
and so on.
Other roots also have importance