The number $3797$ has an interesting property. Being prime itself, it is possible to continuously remove digits from left to right, and remain prime at each stage: $3797$, $797$, $97$, and $7$. Similarly we can work from right to left: $3797$, $379$, $37$, and $3$.
Find the sum of the only eleven primes that are both truncatable from left to right and right to left.
NOTE: $2$, $3$, $5$, and $7$ are not considered to be truncatable primes.
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