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chaitanya.mehrotra
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If x > y, x < 6, and y> -3, what is the largest prime number that could be equal to x+ y?
-3 < y < x < 6chaitanya.mehrotra wrote:If x > y, x < 6, and y> -3, what is the largest prime number that could be equal to x+ y?
Anurag@Gurome wrote:-3 < y < x < 6chaitanya.mehrotra wrote:If x > y, x < 6, and y> -3, what is the largest prime number that could be equal to x+ y?
We have to maximize x and y such that (x + y) is prime. Now none of x and y cannot be larger than 6. Hence (x + y) must be smaller than (6 + 6) = 12. Largest prime number less than 12 is 11.
Hence, 11 is the largest prime number that could be equal to (x + y).
naveen451, never take for granted that the numbers must be integers, unless categorically stated.naveen451 wrote:Anurag@Gurome wrote:-3 < y < x < 6chaitanya.mehrotra wrote:If x > y, x < 6, and y> -3, what is the largest prime number that could be equal to x+ y?
We have to maximize x and y such that (x + y) is prime. Now none of x and y cannot be larger than 6. Hence (x + y) must be smaller than (6 + 6) = 12. Largest prime number less than 12 is 11.
Hence, 11 is the largest prime number that could be equal to (x + y).
i guess it is 7 not 11 bcoz x>y