Certain Square Numbers
Number Theory
Level
1
Are there any square numbers whose last digit is a prime number other than 5?
Yes
No
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1 solution
The first 11 square numbers end in 0, 1, 4, 9, 6, 5, 6, 9, 4, 1, and 0 respectively, and the next 11 end in the same numbers (interesting that the end numbers are palindromic!).
Besides 5, none of these are prime, and thus the answer is N o .