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5 Digit Number II (Posted on 2011-01-03) Difficulty: 4 of 5
In continuation of 5 Digit Number, let us define a 5-digit non leading zero base N (N > 3) positive integer x as a split number whenever, 3*x is a perfect square and, when the digits of x are split, the first number is double the second one.

How many split numbers are there whenever 11 ≤ N ≤ 36. What are the respective minimum and maximum values?

(Splitting a base-N 5-digit number into two numbers means 12345 into 1 and 2345 or, 123 and 45.)

No Solution Yet Submitted by K Sengupta    
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  Subject Author Date
re(2): A start.Jer2011-01-04 11:04:31
Some Thoughtsre: A start.Steve Herman2011-01-03 17:16:55
Solutioncomputer solutionCharlie2011-01-03 16:55:37
A start.Jer2011-01-03 15:13:28
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