The park bench has been compromised as a safe location, so you decide to meet in the lobby of the nearest hotel. Again, the envelopes are traded securely, along with the money you are receiving for each code. This code comes with a note.
“This is the hardest code yet. No more programs to crack this one, at least not easily, and this time there is some conversion involved. The next envelope you get will be much harder. Much, much, MUCH harder.”
Digits are referred to as A-B-C-D in the clues. "A + B" is the sum of the first and second digit. All math follows the standard order of operations
- There are no repeated digits.
- One of the digits is a four.
- The number is prime.
- The hexadecimal representation of this number is an English word (according to m-w.com).
What four digit number matches these criteria? Also, if you want, post your methodology for finding the correct answer, as this will help me in the future.
Note: I am pretty sure that only one number matches all these clues. However, I may have miscalculated. Please correct me in the comments. If you find the answer, put it in a spoiler so the question is not ruined for those who want to solve it.