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Which of the following are true?

1:for every positive integer m, there is a positive integer n such that m+n+1 is a perfect square.

2:for every positive integer m, there is a positive integer n such that mn+1 is a perfect cube

3:for every positive integer m, there is a positive integer n such that m+n+1 is a perfect cube

4:for every positive integer m, there is a positive integer n such that mn+1 is a perfect square

2 Answers 2