Dodging Predators With Primes

In the eastern United States, there is a species of cicada that broods every 17 years. The life cycles of three predators that eat cicadas are 2, 3, and 4 years. If the species of cicada experienced a devastating population drop in the year 2013 (while they brood), and the predators rarely eat each other, which future year would the cicadas experience another reproductive disaster?

The reproductive disaster is when all three predators hunt the cicadas at once.

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