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Center Six Digits (Posted on 2023-07-15) Difficulty: 3 of 5
A 6-digit positive integer N is squared to form a 12-digit number. The center six digits of N^2 constitute N. Determine all possible values of N.

(If 'abcdef' was the 6-digit number, then the 12-digit number would look like 'uvwabcdefxyz'.)

Will there be any further solution(s) if N contained a leading zero?

See The Solution Submitted by K Sengupta    
Rating: 5.0000 (1 votes)

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