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Problem 398

Number theory Difficulty 2.0 Find the answer UKMT Junior Mathematical Challenge · United Kingdom · 2020

There is more than one integer, greater than $1$ , which leaves a remainder of $1$ when divided by each of the four smallest primes. What is the difference between the two smallest such integers? (A) $211$ (B) $210$ (C) $31$ (D) $30$ (E) $7$

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