How can one prove the integer r, where r is greater than or equal to zero, but less than 16, to which a square may be congruent modulo 16?
Also, to prove that any integer terminating in the four equal digits 4444 is congruent modulo 16 to 12. Can such a number be square and how?
Finally, which postive integers (if any) have a square which end in 4 equal digits (e.g. 0000, 1111, 2222, etc.?
Thanks for your help.
2007-05-29
13:13:25
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3 answers
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asked by
Andre S
1
in
Mathematics