# A number theory problem by Paola Ramírez

There is a sack full of potatoes. If potatoes are counted $$4$$ by $$4$$, $$5$$ by $$5$$, $$6$$ by $$6$$ or $$7$$ by$$7$$ always left over $$3$$. The sack has more than $$3$$ potatoes and less than $$800$$. How many potatoes have the sack?

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