Consider two integers, x and y, both less than 70. The integer x is defined as the sum of the squares of two different prime numbers, while y is a multiple of 19. What could be the value of x – y?

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–15

–5

Correct

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Official Explanation

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Both x and y are constrained to be less than 70. The value of x can be expressed as the sum of the squares of two distinct primes: x = a^2 + b^2 (where a and b are prime numbers). The value of y can be represented as y = 19c (where c is a positive integer). To find x – y, we can…

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What this question tests

What it tests

Your understanding of divisibility rules, least common multiples, and greatest common factors.

Common trap

Forgetting that 1 is not prime and that every integer divides 0.