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Even Digit Perfect Square(s) (Posted on 2008-10-25) Difficulty: 3 of 5
Determine all possible 7-digit decimal (base 10) perfect square(s), each of whose digits is nonzero and even.

Note: While a solution is trivial with the aid of a computer program, show how to derive it without one.

  Submitted by K Sengupta    
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Solution: (Hide)
The required perfect squares are: 2862864 (16922), 8282884 (28782), and 8868484 (29782).

For an explanation, refer to the solution submitted by Dej Mar in these locations:

(i) http://perplexus.info/show.php?pid=6244&cid=41754.

(ii) http://perplexus.info/show.php?pid=6244&cid=41756.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re(2): solution TRUE BUT WHYDej Mar2008-10-27 06:33:41
Questionre: solution TRUE BUT WHYAdy TZIDON2008-10-27 05:39:47
SolutionsolutionDej Mar2008-10-27 04:12:05
re(3): SLOANE A103705 (spoiler)Gamer2008-10-26 22:37:03
re(2): SLOANE A103705K Sengupta2008-10-26 05:53:50
re(2): SLOANE A103705 (spoiler)Ady TZIDON2008-10-26 04:30:48
re(2): SLOANE A103705Ady TZIDON2008-10-26 04:15:42
Solutionre: SLOANE A103705 (spoiler)Charlie2008-10-25 17:05:34
re: SLOANE A103705Gamer2008-10-25 16:23:26
Solution SLOANE A103705Ady TZIDON2008-10-25 13:48:23
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