perplexus.info :: Just Math : Even Digit Perfect Square(s)

Even Digit Perfect Square(s) (Posted on 2008-10-25)

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

Rating: 5.0000 (1 votes)

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 WHY	Dej Mar	2008-10-27 06:33:41
re: solution TRUE BUT WHY	Ady TZIDON	2008-10-27 05:39:47
solution	Dej Mar	2008-10-27 04:12:05
re(3): SLOANE A103705 (spoiler)	Gamer	2008-10-26 22:37:03
re(2): SLOANE A103705	K Sengupta	2008-10-26 05:53:50
re(2): SLOANE A103705 (spoiler)	Ady TZIDON	2008-10-26 04:30:48
re(2): SLOANE A103705	Ady TZIDON	2008-10-26 04:15:42
re: SLOANE A103705 (spoiler)	Charlie	2008-10-25 17:05:34
re: SLOANE A103705	Gamer	2008-10-25 16:23:26
SLOANE A103705	Ady TZIDON	2008-10-25 13:48:23

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