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problem 60 · 4 lines

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<p>The primes $3$, $7$, $109$, and $673$, are quite remarkable. By taking any two primes and concatenating them in any order the result will always be prime. For example, taking $7$ and $109$, both $7109$ and $1097$ are prime. The sum of these four primes, $792$, represents the lowest sum for a set of four primes with this property.</p>
<p>Find the lowest sum for a set of five primes for which any two primes concatenate to produce another prime.</p>
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