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Numerical example of encryption using the RSA method

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Please see the file below about encoding a birthday.
For example the birthday is 250692, how to calculate?

Exercise 2: Encode your date of birth (format DDMMYY) using the public key:

n = 536813567

a = 7582663

(Use the correspondence 0 <-> 0, 1 <-> 1, ..., 9 <-> 9 and work in base 10 to encode this message.)

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Solution Summary

The writeup shows an illustrative numerical calculation of data encryption and decryption using the RSA method by utilizing a public and private key.

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The theory of RSA encryption states the following

Choose two large numbers p and q and compute n = p*q
Compute phi = (p-1)*(q-1)
Choose a prime number a that is coprime with phi
Compute the multiplicative inverse of phi w.r.t. i.e. d = ...

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