A code is implemented with the following statement. Decrypt the code.
The totient of 3131 is needed and is found below:
because 31 and 101 are prime
Eulers Theorem: so:
Where m is an integer to give us more flexibility in generating an inverse in step XXX below. Multiply both sides by x
So if you can find a power d where:
then you can take the encrypted numbers to the power of d and out will pop the plain text original series
Now you use the Euclidean algorithm to find 1 in terms of 197 and 3000. This yields:
Taking the mod(3000) of both sides
which shows is the decryption power we are looking for
This example used smaller numbers so as to make the example transparent. However if the input character were to be X=31 or 101 I think the system breaks down.