1327

This number is a prime.

The century in the 1000's with the most primes is the 1400's with 17 primes. The century in the 1000's with the least primes is the 1300's with 11 primes. However, you might not expect that looking at the first few primes in each century. The 1300's starts out with a lot of primes. 1301, 1303, and 1307 are all prime. Then, there are some big gaps, like the record prime gap from 1327 to 1361. The 1400's has a slow start. 1409 is the first prime, followed by 1423. Then, there are a lot of primes, including the prime quadruplet 1481, 1483, 1487, 1489. It is like The Tortoise and the Hare. [Jacobs]