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What prime is 4 greater than a perfect square and 7 less than the next perfect square?

 Mar 29, 2023
 #1
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After checking a number of possibilities, I found that the answer is 53.

 Mar 29, 2023
 #2
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This means that the difference between the two squares is 11.

That means the two squares are 25 and 36.

25+4=29, 36-7=29

 

The answer is \(\boxed{29}\) not 53 because it is not 7 less than the next square

 Mar 29, 2023

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