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The Number Is Prime, The Number Is Less Than 19 And The Sum Of The Digits Of The Number Is Great Than 7, What Is The Other Number?

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Let x = prime number
x < 19
since the sum of the digits is > 7, then x >= 11 since it is prime
possible primes are 11,13,17
sorry I could not come up with an equation to prove this, but the answer has to be 17 since it is the only prime whose digits are greater that 7 and also less than 19.

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