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| ababbbcc and perfect square(s) (Posted on 2008-09-20) |
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Determine all possible 8-digit perfect square(s) (in base 10) having the form ababbbcc, each containing no leading zeroes, that are divisible by 7.
Note: While a solution may be trivial with the aid of a computer program, show how to derive it without one.
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Submitted by K Sengupta
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Rating: 5.0000 (1 votes)
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Solution:
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57577744 is the only 8-digit perfect square that satisfies the given conditions.
It may be noted that in terms of the given conditions, the perfect square(s) cannot contain any leading zeroes.
Dej Mar's methodology in this location demonstrates that this is indeed the unique solution even without restriction to multiples of 7.
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Subject |
Author |
Date |
 | a solution | Dej Mar | 2008-09-20 12:15:50 |
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