I am writing about RSA in a school project and i noticed that the way to construct public key and private key differs what is taught everywhere else compared to the RSA paper published in -77. I believe this is the original RSA paper: http://people.csail.mit.edu/rivest/pubs/RSA78.pdf
I says that you choose n=p*q and then you make d which is gcd(d,(p-1)(q-1))=1 then you compute e from p,q and d:
then you use e to encrypt the message, and d to decrypt. In wiki for example is said that d is used to enrypt the message and e to decrypt. Why?