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Special Numbers (Posted on 2004-04-03) Difficulty: 2 of 5
There exists a number oddity with 3 different 4-digit numbers. One is 9801, where (98 + 01)^2 = 9801. It also works with 3025: (30+25)^2 = 3025.
What is the other number?
What is the smallest 6-digit number that would work?
(in other words, in a 6-digit number abcdef: abcdef=(abc+def)^2)

See The Solution Submitted by Victor Zapana    
Rating: 3.6667 (6 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
No Subjectsamytyu2024-04-27 22:24:20
AnswerK Sengupta2008-03-03 10:58:40
re: Test 2nikki2004-12-09 21:39:52
Test 2NK2004-12-09 21:31:35
TestingNK2004-12-09 21:29:47
SolutionAnd AgainNK2004-12-09 21:26:46
SolutionAnother Try at a Clean PostNK2004-12-09 21:19:22
SolutionTrying Post AgainNK2004-12-09 16:32:07
Sorry about the messNK2004-12-09 16:29:28
SolutionAlgebraic SolutionNK2004-12-09 16:25:58
SolutionSolutionGuilherme2004-05-16 11:42:37
Too easy!!rico ross2004-04-13 02:30:40
Algebraic SetupMike2004-04-04 15:46:25
reply to PennyLarry2004-04-03 19:21:58
re: found a few morePenny2004-04-03 17:29:21
Some Thoughtsfound a few moreLarry2004-04-03 14:29:46
Some Thoughtslow tech spreadsheet solutionLarry2004-04-03 14:11:17
A Pattern!TomM2004-04-03 12:30:46
Solutioncomputer solutionCharlie2004-04-03 10:34:56
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