411

This number is a composite.

The polynomial 30x - 13 produces 411 primes for the first 1000 values of x.

The first number in the first run of 4 consecutive odd integers that are semiprimes, i.e., 411, 413, 415, 417. [Loungrides]

There are 411 sexy primes less than ten thousand. [Homewood]

If C(n) = the concatenation of the first n primes, P(n) = the product of the first n primes, and S(n) = the sum of the first n primes, then 411 is the smallest n such that C(n) + P(n) + S(n) is prime. Found by Andersen. [Rivera]