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LOTS OF POINTS + BRAINLIEST

Suppose p and q are both prime numbers with p > q. Prove that p-q and p+q cannot both be positive perfect squares.

FULL PROOF REQUIRED.

Sagot :

alexanderorangeguy

Answer:

The list od prime number is a quadratic sequence, each time going up by n + 2. for example, 1, 4, 9, 16, 25. they are going up by 3, then + 2 and add 2 every step. The sequence is always going up by an odd number. a negative number take away a negative number always gives you a positive number, likewise, adding does too. Therefore, you can not get both of them to fit into the sequence of increasing odd numbers.

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