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This question is equivalent to asking what multiples of 13 and 17 are equal, and more specifically, what is the lowest multiple of 13 that equals a multiple of 17 or what is the lowest multiple of 17 that equals a multiple of 13. Since 13 and 17 are prime, they have no factors in common. This means that the lowest common multiple is equal to 13 x 17 = 221. Therefore, it will be 221 years before the 13 and 17 year cicadas appear together again.

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12y ago
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15y ago

They do appear together. Cicadas appear every year in late summer.

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Q: Why don't 17 year old cicadas and 13 year old cicadas appear together?
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