The Fibonacci sequence runs 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144... Checking which of these are prime: 2 is prime, 3 is prime, 5 is prime, 8 is not (2³), 13 is prime — giving the first four Fibonacci primes as 2, 3, 5, 13, matching the question's premise. Continuing the sequence: 21 (=3×7, not prime), 34 (=2×17, not prime), 55 (=5×11, not prime), 89 — which is prime (not divisible by any prime up to its square root, ~9.4). So 89 is the next Fibonacci prime after 13, correctly matching the answer. 19, 79, and 29 are primes but don't appear in the Fibonacci sequence at all.