Theory and Practice of Multi-Dim. Indices mod m. A Circular Slide-Rule for the Modulus m = 100

摘要

This paper defines indices for a modulus m which admits no primitive root, like the modulus m = 100. If m = msub1msub2, with (msub1msub2) = 1, and if msub1 has the primitive root a sub1, and msub2 has the primitive root asub2, then the index of a number N, with (N,m) = 1, is defined by an appropriate 2-dimensional vector. As an example we choose m = 100, msub1 = 4, msub2 = 25. The paper concludes with the construction of a circular slide-rule for the modulus m = 100.