what is the least perfect square

what is the least perfect square that when divided by 3 leaves 2 as remainder wen divided by 4 leaves 3 as a remainder and wen divided by 5 leaves 4

2 Answers

x²=3n+2

x²=4m+3

x²=5p+4

Note that any square is always of the form either 4n or 4n+1

so the 2nd condition will never hold!

Also the square is always of the form 3n or 3n+1

so even the first case does not hold

Try to prove these two things!!

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