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MultiplicativeOrder

Usage

MultiplicativeOrder[k, n] gives the multiplicative order of k modulo n, defined as the smallest integer  such that  .
MultiplicativeOrder[k, n, { ,  , ... }] gives the generalized multiplicative order of k modulo n, defined as the smallest integer  such that  for some  .


Notes

• Integer mathematical function (see Section A.3.10).
MultiplicativeOrder returns unevaluated if there is no integer  satisfying the necessary conditions.
• See Section 3.2.5.
• New in Version 4.


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