indefinite equation indeterminate equation
4.This article discusses the indeterminate equation z 2-2y 2=-1 and Catalan conjecture,then proves the following theorem. (1)Let x k,y k be the solutions in nonegative integers of indeterminate equation z 2-2y 2=-1,then y k=r k+a k z k=2r k+a kWhere a k+r k= (3+22) k (2)Let n>1 be a positive integer,then the indeterminate equation (n+1) n-n n+1 =1 is n=2.
5.By using the Euclidean algorithm, the matrix solution of indefinite equation of first degree is discussed. Especially its program composition is given on MATLAB mathematical software.
