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112 = 2^{4} * 7. Note that 7^{4}  2 is prime. [Luhn] The only 3digit number such that its factorial raised to the sum of its digits and increased by one is prime. I.e., 112!^(1+1+2)+1 is prime. [Opao] 112!*211!  1 is prime. [Firoozbakht]
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