Forgot password?New user?Sign up
Existing user?Log in
True or False
98402937 98402937 98402937is a prime number?
Statement
If an odd integer n > 1 n>1 n>1satisfies 2 n − 1 ≡ 1 ( m o d n ) { 2 }^{ n-1 }\equiv 1(mod\quad n) 2n−1≡1(modn), then n n nmust be a prime?
What is the smallest number that doesn't satisfy the above statement?
When n = 3 n = 3 n=3, 2 n − 3 = 5 2^{n}-3 = 5 2n−3=5. This is the first value of n n nfor which 2 n − 3 2^n - 3 2n−3is prime. What is the 24 24 24th value of n n nsuch that 2 n − 3 2^{n}-3 2n−3is a prime number?
问题Loading...
Note Loading...
Set Loading...