fermatandeuler39stheorems内容摘要:

. He never published his proof, nor was it found after his death. In 1994 Andrew Wiles worked out a proof of this equation using advanced modern techniques. Fermat’s Little Theorem  If p is prime and a is an integer not divisible by p, then . . .  ap1 1 (mod p).  And for every integer a  ap a (mod p).  This theorem is useful in public key (RSA) and primality testing. Euler Totient Function: (n)  (n) = how many numbers there are between 1 and n1 that are relatively prime to n.  (4) = 2 (1, 3 are relatively prime to 4)  (5) = 4 (1, 2, 3, 4 are relatively prime to 5)  (6) = 2 (1, 5 are relatively prime to 6)  (7) = 6 (1, 2, 3, 4, 5, 6 are relatively prime to 7) Euler Totient Function Cont.  As you can see from (5) and (7), (n) will be n1 whenever n is a prime number. This implies that (n) will be easy to calculate when n has exactly two different pri。
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