• How did you simplify 16^54﻿ into 3^(24*54)? I don't think 3^24 = 16.

• I make this clear in the finished version, click on﻿ the annotation at the beginning of this video.

• why weren't you my high school math teacher??﻿ bravo!

• You explained in five minutes what my teacher explained in two﻿ weeks. Thanks :)

• I﻿ finally understand! Thanks

• cant understand a thing he said. 0_o﻿

• this is good for people who are new to﻿ cryptology good job

• but you also say 'the reverse procedure is hard' well I would argue it is impossible﻿ because 3^20 mod 17 gives the same answer as 3^5 mod 17, so x could be 20 OR 5?

• This is what I don't get, you say 'when raised to different exponents the solutions distributes uniformly around the clock', but 3^20 mod 17 gives the same answer as 3^5 mod 17, so it isn't a 1 to 1 mapping of values, so it would be impossible to derive the exact answer of x,﻿ just a set of values for x!?!????

• That's really interesting.﻿ Thank you!

• Thank you﻿ very much. You made my day!