Question 257210: The difference of the squares of two prime numbers is 10197. What is the sum of
the squares of the two numbers? Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! The difference of the squares of two prime numbers is 10197. What is the sum of
the squares of the two numbers?
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Since the difference is an odd number, one of the prime numbers has to be an even number. The only even prime is 2, and its square is 4.
10197 + 4 = 10201 = 101^2
The numbers are 2 and 101.
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The sum of their squares is 10205.
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PS -2 and -101 also work.
