17
This number is a prime.
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2*7*13 - 3*5*11 = 17 (first seven primes); Note that 17 (prime(7)) is of the form A - B where A*B = prime(1)*prime(2)*...*prime(6). Is 17 the largest such prime? [Firoozbakht]
1!! + 2!! + ... + 15!! = 16 (mod 17). It is the only known prime with this property. [Firoozbakht]
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