# Dr. Divisible

Given that $$N$$ is a positive integer. If

• $$N+1$$ is divisible by 2,
• $$N+2$$ is divisible by 3,
• $$N+3$$ is divisible by 5, and
• $$N+4$$ is divisible by 7.

Is $$N+18$$ divisible by 35?

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