BY USING THE COMBINATION RULE OF “MANTISSA DOMAIN” TO PROVE FERMAT'S LAST THEOREM
Huang Shiyan (Hebei Earthquake Bureau)
In this paper,at the first,we investigate the properties of X'mantissa domains;obtain that there are four kinds of mantissa domains[X~(44-2)],[X~(44-1)],[X~44)],[X~(44+1)],and give the combination rule of matissas. we find that for the equation X~n+Y~n=Z~n,there exist 660 combinations of the basic mantissa domains of most possible integer solution. According to the investigation on the mantissa domains of X~a,we introduce the practical equation for the combination of positive integers(it is also valid for negative integers).Then the indefinite equation X~n+Y~n =Z~n is substituted by the practical equation(C_z+101_n)~(?)+(C_(?)+101_(?))~(?)=(C_2+101_2)~(?). Thus,by using the combination rule of“mantissa domain”,Farmat's last theorem is proved. At the same time,|a~(n+1)-(b~(n+1)+c~(n+1)||a~n-(b~n+c~n)|0 is proved.Thus,n2,X~n+Y~n≠ Z~n is proved.