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The Conspiracy of Tzetek

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28 Comments

  1. Dock wrote:

    123456 (increpare edit: I changed it, it was too close to being a total spoiler : P )

    Sunday, August 22, 2010 at 8:32 pm | Permalink
  2. Noyb wrote:

    Interesting problem. Got it after a brief bit of futzing with a Ruby shell. There’s likely a much more efficient and elegant solution than mine. I selected all primes between 123456 and 987654, then used regular expressions to check the rules about neighboring or repeated digits, and then checked the last rule by hand on the 11 remaining possibilities.

    Sunday, August 22, 2010 at 9:25 pm | Permalink
  3. I don’t think there’s a nicer way, really. I probably could have thought of some sexier constraints.

    Sunday, August 22, 2010 at 9:31 pm | Permalink
  4. Eric the Rexman wrote:

    Is zero ever used?

    Monday, August 23, 2010 at 11:05 pm | Permalink
  5. Maybe.

    Monday, August 23, 2010 at 11:21 pm | Permalink
  6. Sergio wrote:

    My math knowledge is pretty limited, so I’d appreciate some help. What rules does 253819 break?

    Tuesday, August 24, 2010 at 2:45 pm | Permalink
  7. two pairs of odd digits side by side (53, 19)

    Tuesday, August 24, 2010 at 4:21 pm | Permalink
  8. Joseppe wrote:

    Seeing as I haven’t programed in years, I did this out by hand. Starting from the lowest possible number and working my way up, I found that there was actually a pretty small range of numbers that worked. I also used WolframAlpha to eliminate some of the tedium.

    It was a fun logic game.

    Tuesday, August 24, 2010 at 8:32 pm | Permalink
  9. Heheh. Good that it wasn’t too intractable : )

    Wednesday, August 25, 2010 at 1:13 am | Permalink
  10. Eric S wrote:

    Started with a web-acquired a list of all 6 digit primes, and a manually assembled matrix of allowed neighbors from rules 5,6,&7. From there it was less trouble (for me, anyway) to write out the comparison loops than to work out regexps. The java program takes a blink of an eye to run.

    Catnip for geeks! :^)

    Wednesday, August 25, 2010 at 5:16 am | Permalink
  11. vivlo wrote:

    i’m not speaking natively english but french, and desperate about finding a translation for “non-trivial” in its mathematical meaning.

    is it something like “non premier” ?

    Sunday, September 12, 2010 at 10:12 pm | Permalink
  12. “no non-trivial divisors” = prime number – pretty sure it translates as premier

    Monday, September 13, 2010 at 1:18 am | Permalink
  13. TSP wrote:

    I am confused about what you meant by “neighboring digits must not share factors”. I thought every possible number shares 1 as a factor and that 0 could be factored by any number.

    Monday, November 8, 2010 at 6:10 am | Permalink
  14. Informal ambiguity is not necessarily insurmountable.

    Monday, November 8, 2010 at 8:15 am | Permalink
  15. Colin Jaffe wrote:

    I solved it by hand, practically by accident. I didn’t know how to check primes, so I constructed a 6-digit number that followed the rules, then punched it in. Not prime. Reversed two of the odd digits and tried again. Got it.

    My much smarter friend hates me now.

    Thursday, December 9, 2010 at 5:16 am | Permalink
  16. Nic wrote:

    I am absolutely 100% bamboozled. I can’t find any rules or logic puzzle or anything that everyone else on this page seems to have found. All I see is a log-in prompt.

    Monday, February 28, 2011 at 8:57 am | Permalink
  17. Colin Jaffe wrote:

    It’s a little confusing, Nic, but if you go to “Create Account” and “help” it gives you rules for creating a password. Thus, SZYGLIA (or whatever) must have a pasword that follows those rules.

    Tuesday, April 5, 2011 at 2:17 am | Permalink
  18. interested wrote:

    technically, the system can only have two correct passwords if all the rules are applied. Pretty trashy password rules if you ask me :P

    Thanks for this fun puzzle.

    Sunday, May 8, 2011 at 3:00 am | Permalink
  19. wurfmaul wrote:

    @interested: Are you sure? Could you post this second regular password, which isn’t the password of SZYGLIA? Yes, I’m a smart alec (I hope I don’t err!), and this isn’t my native language.

    Monday, July 11, 2011 at 4:38 pm | Permalink
  20. Posted solutions will be censored.

    Tuesday, July 12, 2011 at 11:45 pm | Permalink
  21. wurfmaul wrote:

    Actually I just wanted to know wether there are multiple solutions or not (or rather i wanted to claim that there aren’t), since I’ve found only one.

    Thursday, July 14, 2011 at 2:24 pm | Permalink
  22. Racoonie wrote:

    @wurfmaul I think he was mistaken and thought an invalid password worked. Maybe it wasn’t prime.

    Tuesday, September 6, 2011 at 3:17 am | Permalink
  23. ChakAttack wrote:

    Where can I find the rules? Eric S referred to rules 5, 6 and 7. Where are they?

    Sunday, January 22, 2012 at 12:19 pm | Permalink
  24. You can find them. I believe in you.

    Tuesday, January 24, 2012 at 6:18 am | Permalink
  25. ChakAttack wrote:

    :’) Thanks. Deeply touching words. I’ll try harder, I promise

    Tuesday, January 24, 2012 at 1:02 pm | Permalink
  26. ChakAttack wrote:

    I found the rules, and one solution: if imposible were numbers 0 win :)

    Sunday, January 29, 2012 at 12:47 am | Permalink
  27. MitochondrialAdam wrote:

    Cool, not going to try to figure it out, though.

    Monday, April 23, 2012 at 6:57 am | Permalink
  28. BUDUMBER wrote:

    Well doing it by hand was surprisingly easy. When you consider the digits a prime can end in, working out all the possible numbers backwards and then checking to see if they are prime only took like 20 minutes.

    Monday, July 29, 2013 at 4:17 pm | Permalink

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