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Mathematica Equation Solving Wolfram Language

PowerMod[a, 1/r, m] fails to compute certain solutions.

Posted 11 years ago

The specific case that I found is: PowerMod[411728896, 1/411728896, 10^9] which returns: PowerMod::root: The equation x^411728896 = 411728896 (mod 1000000000) has no integer solutions. >> However, a solution is x=4.

POSTED BY: Andrew Wang

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Posted 11 years ago

Solve[ x^411728896 == 411728896, x, Integers, Modulus -> 10^9] Solve::mdom: Warning: Mathematica is ignoring domain specification Integers; option setting Modulus -> 1000000000 implies domain integers modulo 1000000000. >> Roots::lrgexp: Exponent is out of bounds for function Roots. >> Solve::munsp: Solve was unable to solve the system. Increasing the value of "MaxModularPoints" in SystemOptions["ReduceOptions"] may help. >>

POSTED BY: Frank Kampas

Posted 10 years ago

Not sure how I missed this. Yes, this is a bug. Will get looked at.

POSTED BY: Daniel Lichtblau

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