Let f(x)=x^2-x+p, where p is a positive integer. What number are p such that f(n)(1≤n<p) are all primes? We call it the problem of being always a prime. We already know that if p= 2, 3, 5, 11, 17 and 41, f(n) is a...Let f(x)=x^2-x+p, where p is a positive integer. What number are p such that f(n)(1≤n<p) are all primes? We call it the problem of being always a prime. We already know that if p= 2, 3, 5, 11, 17 and 41, f(n) is always a prime in (1)There are some results about how to determine that f(n) is always a prime in (2—4)In this paper we have proved that the展开更多
文摘Let f(x)=x^2-x+p, where p is a positive integer. What number are p such that f(n)(1≤n<p) are all primes? We call it the problem of being always a prime. We already know that if p= 2, 3, 5, 11, 17 and 41, f(n) is always a prime in (1)There are some results about how to determine that f(n) is always a prime in (2—4)In this paper we have proved that the