Three consecutive positive prime numbers have a sum that is a multiple of 7. What is the least positive sum? show all work.

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Three consecutive positive prime numbers have a sum that is a multiple of 7. What is the least positive sum? show all work.

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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13 17 19
please show me how
Just start with the primes in sets of 3. 1+2+3 2+3+5 ... Knowing a way to represent a large set of primes with an equation would make it easier, but since primes are so unique that would be difficult to do.

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