A Thursday number is a number $N$ where any three consecutive digits make a prime, and all such primes formed are distinct.
For example, $13739$ is a Thursday number because $137$, $373$ and $739$ are all distinct primes.
Find the largest Thursday number. (Preferably without using a program)
P.S. I know today is not yet Thursday, but I may not be able to come online tomorrow.
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