Problem 44956. Determine RSA keys (public and private) given two prime number character strings (p and q)
Given two prime number character strings (p and q), generate the RSA public and private keys (n and d) with e = 65537. The more difficult part is doing this without the use of symbolic numbers. Example: p = '3355335697481001330501721', q = '5955344080483688912855719' n='19982178584029090861856118769095354822153154192399' d='3270348772331599380262578849367006078599068947553'
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I get different results for d in test cases 2, 3, and 4 (in particular, d=929660805638728623653 for test case 2).
If I understand correctly, we should have mod(d*e,phi)=1, where phi=(p-1)*(q-1). My answers seem to satisfy that condition, but test cases 2, 3, and 4 do not.
Could someone help me out with the modular inversion. I can't seem to get it to work for any large numbers. I've been stuck for a while
I think my main issue is that I cannot use the mod function with large numbers, what is a way around this?
@David Hill. Thanks, that worked a lot better for me
One should first consider if MATLAB is even adapted for these kinds of calculations. Still, I had a lot of fun.
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