What 5 digit number am I thinking of. It has two prime digits. Digit 3 is the highest digit. Digit 2 is lowest digit. Digit 1 is higher than the sum of digits 4 and 5. Digit 5 is half of digit 4. Digit 1 is one smaller than digit 3. Digit 5 is between digit 2 and digit 1 There are no duplicates and the digit 0 doesn't appear. Don't forget that 1 isn't prime.
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Answer: 71842. The number can be represented as: _ _ _ _ _ Since digit 5 is half of digit 4 we have four possibilities: _ _ _ 2 1 _ _ _ 4 2 _ _ _ 6 3 _ _ _ 8 4 But since digit 1 is higher than the sum of digit 4 and digit 5 we can eliminate two possibilities leaving: _ _ _ 2 1 _ _ _ 4 2 Since digit 5 is between digit 2 and digit 1, we can eliminate _ _ _ 2 1, leaving: _ _ _ 4 2 Since digit 1 must be higher than the sum of digit 4 and digit 5 we have three possibilities: 7 _ _ 4 2 8 _ _ 4 2 9 _ _ 4 2 But digit 1 is 1 smaller than digit 3 we can eliminate 9 _ _ 4 2, leaving 7 _ 8 4 2 8 _ 9 4 2 Since digit 2 is the lowest number, it must be 1: 7 1 8 4 2 8 1 9 4 2 The answer has exactly 2 prime digits, which only leaves 7 1 8 4 2.
Answer: 71842. The number can be represented as: _ _ _ _ _ Since digit 5 is half of digit 4 we have four possibilities: _ _ _ 2 1 _ _ _ 4 2 _ _ _ 6 3 _ _ _ 8 4 But since digit 1 is higher than the sum of digit 4 and digit 5 we can eliminate two possibilities leaving: _ _ _ 2 1 _ _ _ 4 2 Since digit 5 is between digit 2 and digit 1, we can eliminate _ _ _ 2 1, leaving: _ _ _ 4 2 Since digit 1 must be higher than the sum of digit 4 and digit 5 we have three possibilities: 7 _ _ 4 2 8 _ _ 4 2 9 _ _ 4 2 But digit 1 is 1 smaller than digit 3 we can eliminate 9 _ _ 4 2, leaving 7 _ 8 4 2 8 _ 9 4 2 Since digit 2 is the lowest number, it must be 1: 7 1 8 4 2 8 1 9 4 2 The answer has exactly 2 prime digits, which only leaves 7 1 8 4 2.
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