Question 5
Let $N = 2010! + 1$. Prove that
a) $N$ is not divisible by $4021$;
b) $N$ is not divisible by $2027$, $2029$, $2039$;
c) $N$ has a prime divisor greater than $2050$.
a) $N$ is not divisible by $4021$;
b) $N$ is not divisible by $2027$, $2029$, $2039$;
c) $N$ has a prime divisor greater than $2050$.