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Divisibility Calculator

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Absolute Prime Number (Permutable Prime Number)

A natural number is said to be an absolute prime if it is prime and remains prime after any permutation of its digits. Set of Absolute Prime Number from 2 up to 11111111111111111111111:  {2, 3, 5, 7, 11, 13, 17, 31, 37, 71, 73, 79, 97, 113, 131, 199, 311, 337, 373, 733, 919, 991, 1111111111111111111, 11111111111111111111111} references: https://oeis.org/A003459 https://www.jstor.org/stable/3618302

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Arg(x/y) = Arg(x) - Arg(y)

  It is easy to see that \( \mathrm{arg} \left ( \frac{a}{b} \right ) = \mathrm{arg} \left ( a \right )  - \mathrm{arg} \left ( b \right )  \) for any complex number \( a \) and \( b \). But, this is not the case for the principle value that is \( \mathrm{Arg} \) does not always equal to \( \mathrm{Arg} \left ( a \right ) - \mathrm{Arg} \left ( b \right )  \).