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2018 BIMC keystage2-EMIC individual Question 14

xIMC · 2018 BIMC keystage2-EMIC individual

Question 14

The unit squares of a $8\times8$ table are to be filled in with the integers from $1$ to $64$, using each exactly once. You can choose where to put the number $1$. Then the number $2$ must be in an adjacent square in the same row or the same column as the square containing the number $1$, the number $3$ must be adjacent to the number $2$, and so on. What is the maximum number of prime numbers you can get in the same row?

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