Maths Olympiad Prep

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Number theory Difficulty 6.1 National olympiad Find the answer

5. Periodical cicadas are insects with very long larval periods and brief adult lives. For each species of periodical cicada with larval period of 17 years, there is a similar species with a larval period of 13 years. If both the 17 -year and 13 -year species emerged in a particular location in 1900, when will they next both emerge in that location?

A number or a short expression. Spacing and $ signs are ignored.

Solution

5. 2121

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