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The Public Key is a value which must match three requirements: We will refer to this as T moving forward. Or more simply stated, to calculate the Totient of a Semi-Prime number, calculate P-1 times Q-1.Īpplied to our example, we would calculate: So for now, we will simply accept that the formula to attain the Totient on a Semi Prime number is to calculate the product of one subtracted from each of its two prime factors. Most of which will be beyond the intended scope of this article. There is a lot of clever math that goes into both defining and acquiring a Totient. Calculate the Totient of N: (P-1)*(Q-1).
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Bonus question: given the terminology we reviewed above, what kind of number is N? We then simply multiply our two prime numbers together to calculate the product: For the purpose of our example, we will use the numbers 7 and 19, and we will refer to them as P and Q. Select two prime numbers to begin the key generation.
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To acquire such keys, there are five steps: As such, the bulk of the work lies in the generation of such keys. The heart of Asymmetric Encryption lies in finding two mathematically linked values which can serve as our Public and Private keys. With that out of the way, we can get into the algorithm itself.
#Stunnel rsa key example mod
If presented with the problem 12 MOD 5, we simply are asking for the remainder when dividing 12 by 5, which results in 2.