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Tetra-productial numbers (Posted on 2003-05-13) Difficulty: 3 of 5
Show that there are infinitely many integers n such that:

1) All digits of n in base 10 are strictly greater than 1.
2) If you take the product of any 4 digits of n, then it divides n.

  Submitted by Fernando    
Rating: 2.2500 (4 votes)
Solution: (Hide)
Brian's solution is very elegant. You can find it here.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Some ThoughtsPuzzle ThoughtsK Sengupta2023-05-02 23:43:29
Ooh..DJ2003-05-14 22:30:31
A problem with thatGamer2003-05-14 12:24:45
re[fined]: SolutionDJ2003-05-14 06:57:05
Some ThoughtsSolutionDJ2003-05-13 14:13:22
SolutionBrian Smith2003-05-13 08:03:13
SolutionSolutionBryan2003-05-13 07:29:23
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