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Suppose the cicadas come out every C years and a predator comes out every P years. Then the life cycles of the predator and the cicadas will coincide every LCM(C, P) years. The predator will want it to happen as often as possible while the cicadas want that to happen as seldom as possible. If C is co-prime with P then the cycles coincide after CP years - which is best for the cicada.

Suppose the cicadas come out every C years and a predator comes out every P years. Then the life cycles of the predator and the cicadas will coincide every LCM(C, P) years. The predator will want it to happen as often as possible while the cicadas want that to happen as seldom as possible. If C is co-prime with P then the cycles coincide after CP years - which is best for the cicada.

Suppose the cicadas come out every C years and a predator comes out every P years. Then the life cycles of the predator and the cicadas will coincide every LCM(C, P) years. The predator will want it to happen as often as possible while the cicadas want that to happen as seldom as possible. If C is co-prime with P then the cycles coincide after CP years - which is best for the cicada.

Suppose the cicadas come out every C years and a predator comes out every P years. Then the life cycles of the predator and the cicadas will coincide every LCM(C, P) years. The predator will want it to happen as often as possible while the cicadas want that to happen as seldom as possible. If C is co-prime with P then the cycles coincide after CP years - which is best for the cicada.

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Suppose the cicadas come out every C years and a predator comes out every P years. Then the life cycles of the predator and the cicadas will coincide every LCM(C, P) years. The predator will want it to happen as often as possible while the cicadas want that to happen as seldom as possible. If C is co-prime with P then the cycles coincide after CP years - which is best for the cicada.

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11y ago
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Q: Why do cicadas come out during prime number years?
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