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 Indexed Puzzle (Posted on 2004-07-19)
Here is a numbered list of statements, some true, some false, which refer to a specific number (unique positive integer, base 10).

It just so happens that if a statement is true then its index number appears among the number's digits, and if a statement is false then its index number does not appear among the number's digits.

1. The sum of the number's digits is a prime.
2. The product of the number's digits is odd.
3. Each of the number's digits is less than the next digit (if there is one).
4. No two of the number's digits are equal.
5. None of the number's digits is greater than 4.
6. The number has fewer than 6 digits.
7. The product of the number's digits is not divisible by 6.
8. The number is even.
9. No two of the number's digits differ by 1.
10. At least one of the number's digits is equal to the sum of two other digits. (Any of the digits may be equal, as long as all 3 digits are distinct... for example: {2, 2, 4} or {2, 3, 5} )
Find the number.

 See The Solution Submitted by SilverKnight Rating: 4.3750 (8 votes)

 Subject Author Date Answer K Sengupta 2007-08-18 11:07:41 re: Best Solution Scarab 2006-10-05 23:28:37 Best Solution Pandu 2004-12-30 09:18:37 Best Solution Pandu 2004-12-30 09:11:50 solution Detti Herman 2004-10-04 14:58:16 re(2): Solutions (edited) Joe 2004-09-17 17:17:21 re: Solutions Joe 2004-09-17 16:33:08 Solutions Rafal 2004-09-10 08:55:01 re(2): Solution Federico Kereki 2004-07-21 13:56:48 re(3): Solution Bryan 2004-07-21 11:44:59 re(3): Solution ThoughtProvoker 2004-07-20 16:57:39 re(2): Solution Sam Haylor 2004-07-20 16:34:51 re(2): Possible Solution Sam Haylor 2004-07-20 16:28:25 re: Solution Bryan 2004-07-20 13:51:00 re: Possible Solution ThoughtProvoker 2004-07-19 19:21:46 Possible Solution Sam Haylor 2004-07-19 19:08:24 Solution Federico Kereki 2004-07-19 16:15:00 Solution Federico Kereki 2004-07-19 16:14:07 computer solution--spoiler present Charlie 2004-07-19 15:09:48 re: Getting started Larry 2004-07-19 14:21:59 re: Getting started Charlie 2004-07-19 13:48:44 Getting started DJ 2004-07-19 13:39:55

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