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Center Digits (Posted on 2004-11-28) Difficulty: 3 of 5
A four digit number is squared to form an eight digit number. The center four digits of that square form the four digit number. Find all possible four digit numbers.

(If 'abcd' was the four digit number, then the eight digit number would look like 'wxabcdyz'.)

  Submitted by Brian Smith    
Rating: 2.2500 (4 votes)
Solution: (Hide)
3792^2 = 14379264
7600^2 = 57760000
If a leading zero is allowed, there is another solution: 2500^2 = 06250000

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Some Thoughtsclarification or obstruction ??Ady TZIDON2016-02-24 08:33:25
answerK Sengupta2008-02-21 14:23:09
SloaneRichard2004-11-30 05:15:17
re(5): Excel SolutionMichael2004-11-30 01:38:13
the leading zeroes solutionsJer2004-11-29 17:08:37
re(2): Excel SolutionEric2004-11-29 14:16:49
re(4): Excel Solutionnp_rt2004-11-29 07:36:51
Some Thoughtsre(3): Excel SolutionMichael2004-11-29 05:05:42
SolutionSolutionMichael2004-11-29 04:55:43
WellGamer2004-11-28 21:55:19
re(2): Excel Solutionnp_rt2004-11-28 18:35:05
re: Excel SolutionSandeep2004-11-28 18:14:05
Excel SolutionEric2004-11-28 16:44:33
solutionChristian2004-11-28 16:16:37
Solutionhmmmm ... not manyowl2004-11-28 16:13:01
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