I'm sorry in advance if this sort of question has been posted before. I couldn't find it.
I'm clearly an idiot, and I clearly need help, so here I am.
I have a homework assignment which overall is fairly simple but I can't see where I'm going wrong.
The whole idea of said assignment is that encrypt whatever you like with RSA, no code, just pen and paper. I went for a simple A=1, B=2 and so on.
Now here's my problem.
I choose 2 primes:
P = 7079 and Q = 7103
n = 50282137
pi(n)= (P-1)(Q-1) = 7078 * 7102 = 50267956
As far as I understand the small exponent e must be:
1 - be an integer
2 - not a factor of n
3 - 1 < e < pi(n)
I choose e = 321
Which according to Wolframalpha is ok -> https://www.wolframalpha.com/input/?i=gcd%28321%2C49630936%29
d = 2(pi(n)) + 1 / e = (2(50267956) + 1) / 321 = 313195.99065420560747663551401869
Shouldn't d be an integer?
What am I doing wrong here?