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General::modgp

General::modgp

Details

  • This message is generated when the value of the Modulus option in the indicated function is expected to be a Gaussian prime number.
  • A Gaussian prime number is an integer that cannot be factored using complex numbers with integer real and imaginary parts.
  • You can find out if a number is a Gaussian prime number using PrimeQ with the GaussianIntegers->True option.
  • Off[message] switches off the message; On[message] switches it on. For example: Off[General::modgp].

Examples

Basic Examples  (1)

The value of the Modulus option is not a Gaussian prime number:

Wolfram Language code: FactorTerms[22 I + 31 x ^ 2, x, Modulus -> 17]

The integer 17 can be factored using Gaussian integers:

Wolfram Language code: PrimeQ[17, GaussianIntegers -> True]
Wolfram Language code: FactorInteger[17, GaussianIntegers -> True]

This shows a valid value for the Modulus option in this example:

Wolfram Language code: FactorTerms[22 I + 31 x ^ 2, x, Modulus -> 19]