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。fermatandeuler39stheorems
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