I could use all of the help I can get with this...it did not make any sense to me when my teacher explained it. Ok so here's the problem
Let p=13 and q=23. Let e=5. Decode the message: When I think about my professor, I think about 69,214,69.
1. First find d with de congruent to 1 mod((p-1)(q-1)).
2. Now, find 69^d mod((13)(23)) and 214^d mod((13)(23)). I'l give you 214^d is congruent to 15 mod((13)(23)).
3. Write decoded message in terms of letters.
Thank you SO MUCH for any help with this.
***UPDATE: Ok, so I think that d=53. Verify this if you'd like. So now, what I need to do is figure out 69^(53)=____ mod((13)(23)). I am not sure how to do this...the large exponent is throwing me off, so it'd be nice if someone could explain that.