In other words, Rabin-Miller is setup with parameters that produces a result that determines if a number is prime with a probability of our choosing. Given the fact that RSA absolutely relies upon generating large prime numbers, why would anyone want to use a probabilistic test? The answer: With Rabin-Miller, we make the result as accurate as we want. But there is a catch (and readers may have spotted the catch in the last sentence): The Rabin-Miller test is a probability test, not a definite test. Give it a very large number, it is able to very quickly determine with a high probability if its input is prime. The answer: An incredibly fast prime number tester called the Rabin-Miller primality tester L8 is able to accomplish this. Why? Because PHI has a common factor to E that is greater than 1.ĭemo worked examples How to select key pairs Sample code p=11, q=13, e=7 and message of 9 which should give a cipher of 48. p=7, q=13, e=5 and message of 10 which should give a cipher of 82.p=11, q=3, e=7 and message of 2 which should give a cipher of 29. p=61, q=53, e=17 and message of 65 which should give a cipher of 2790.p=23, q=41, e=7 and message of 35 which should give a cipher of 545. Watch & Enjoy Kutumba Gowravam- Old Flim Form Kutumba Gowravam- Movie starring N.T.Rama Rao, Savitri, Rajanala, Padmanabham.p=11, q=3, e=3 and message of 7, which should give a cipher of 13.
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