Question 149
Find the array of prime numbers $(a, b, c)$ satisfying conditions as follows:
(1) $a \lt b \lt c \lt 100$, where $a$, $b$, $c$ are all prime numbers;
(2) $a + 1$, $b + 1$, $c + 1$ constitute a geometric progression.
(1) $a \lt b \lt c \lt 100$, where $a$, $b$, $c$ are all prime numbers;
(2) $a + 1$, $b + 1$, $c + 1$ constitute a geometric progression.