Problem on Fermats method
A public key for RSA is published as n = 17947 and a = 3. (i) Use Fermat’s method to factor n. (ii) Check that this defines a valid system and find the private key X. (iii) Encode 513 and decode 5017. You may need to use a computer for the decoding.
A public key for RSA is published as n = 17947 and a = 3.
(i) Use Fermat’s method to factor n.
(ii) Check that this defines a valid system and find the private key X.
(iii) Encode 513 and decode 5017. You may need to use a computer for the decoding.
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Factorisation by Fermat's method: This method, dating from 1643, depends on a simple and standard algebraic identity. Fermat's observation is that if we wish to nd two factors of n, it is enough if we can express n as the di fference of two squares.
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