30 lines
443 B
Markdown
30 lines
443 B
Markdown
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RSA relies on:
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```
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N = p*q
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```
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where N is a big number and `p` and `q` are large prime number.
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So, say we have `N`. Make a guess `g`. `g` doesn't have to be a factor of N,
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it can be a number that shares factors with N, e.g.
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```
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N = g * h
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N = a * b # 4 = 2 * 2
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g = a * c # 6 = 2 * 3
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gcd(N, g) = a
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g^(p/2) +- 1
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A, B -> no common factors
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A, B -> A^p = m*B + 1
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7, 15 -> 7^2 = 3*15 + 1
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7^3 = 22*15 + 13
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160*15 + 1
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```
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