NOT

Author: mistertfy64

(The maximum score for this problem is 34400 points.)

I am thinking of a integer between 1 to 99999. The number I am thinking of satisfies all of these conditions simultaneously:

• The number is a multiple of 2, 3, 4, 5, 6, 7 or 8.
• The number's digital root is a multiple of 3 or 4.
• The number's digit sum is a multiple of 4, 5, 6 or 7.
• The number is a prime number.
• The number is 1 more than a prime number.
• The number is 1 less than a prime number.
• The number's digit sum is at least 18.
• The number's digit sum is at most 10.
• The number ends in a 1, 3, or 7.
• The number is less than 20000.

Wait a minute... while reading all these conditions that I prepared from home, I think I may have forgotten an important word in all of these conditions! Oh well, I can't take back my words anymore...

Do not include number separators (e.g., commas and dots) in your answer.

Correct Answers