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2013 xIMC keystage2-EMIC individual Question 13

xIMC · 2013 xIMC keystage2-EMIC individual

Question 13

A positive integer is strange if all exponents in its prime factorization are odd. For example $22=2^1\times11^1$, $23=23^1$, $24=2^3\times3^1$ give three consecutive strange numbers. What is the greatest possible length of a block of consecutive strange numbers?