2477

Last prime in the 2400s, with 23 composites following to the end of the century (2500). Next time 23+ composites happens at the end of a century is not until the 8400s. (See you there!)

2549

Who would ever guess 50^2 + 7^2 is prime? It just looks so ... composite.

2659

Hi, sailor!
(Being half of a prime pair)