2006-07-06 01:19:22 · 5 answers · asked by J S 1 in Science & Mathematics ➔ Mathematics
My initial gut answer was:
1111111111² - 1000000 = 1234567900986654321 but I figured there had to be a smaller answer...
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I created a small spreadsheet that generated 5-digit palindromes, then I squared them and subtracted 1,000,000. The sheet started with 31713 which generates the first 10 digit result and went to 99999 which is the largest 10 digit result. I then used the 'find' and 'iserr' functions to tell me if it found each of the digits. Only one palindrome generated a result that had all 10 digits:
66266² - 1000000 = 4390182756 (all ten digits!)
The answer is: 66266
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Now can *you* name the smallest palindromic number that when squared (with *nothing* subtracted or added) contains all the digits 0-9? Pick me as best answer and I'll tell you! :)
2006-07-06 12:42:29 · answer #1 · answered by Puzzling 7 · 6⤊ 0⤋
Well for one its palindromic which is a number that is read the same forwards and backwards. It has to be at least 5 numbers in length and start with a 3 or higher number. Also, there should be a 0 in the middle to get a 0 in the answer.
2006-07-06 11:01:27 · answer #2 · answered by friendly_creations 2 · 0⤊ 0⤋
9876543210, well thats my guess. Why on earth do you want to know ?
2006-07-06 08:24:04 · answer #3 · answered by Robert W 2 · 0⤊ 0⤋
0123456789
2006-07-06 08:27:37 · answer #4 · answered by Lupee 4 · 0⤊ 0⤋
couldn't you ask a harder question?!?! (sorry) couldn't resist the jibe :)
2006-07-06 08:25:21 · answer #5 · answered by Why? 3 · 0⤊ 0⤋