EulerFunctionφ(N)Positive Integer Solutions to Nonlinear Equations
Abstrak
Summary:InEulerFunctionφ(N)On the basis of the Nature,Using the integer decomposition method, we prove M, n,Nonlinear Equationφ(Mn) =A φ(M)Bφ(N)C2.(A, B, cIs the number of shares andGcd (A, B, c) = 1) (A, B, c) = (3,4, 5), (5,12, 13), (7,24, 25)No positive integer solution,And prove that whenA, BFor any odd couple,CFor any odd number,And meetA2.B2.=C2., Gcd (A, B) = 1,2.JBTime,Equation with no positive integer solution.
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