Let f(n) be the largest prime divisor of n. Can it happen that x < y but f(x) > f(y)?
Give an example or explain why it is possible.

1 Answers

Best Answer

According to the given information,
Suppose that:
f(n) be the largest prime divisior of n it is required to given example to explain whether x < y but f(x) > f(y)
So, take an example and explain.
take x = 5 and y = 16
for x = 5 the largest prime divisor of 5 is 5
so, f(5) = 5
for y = 16 the largest prime divisor of 16 is 2
so, f(16) = 2
therefore,
5<16 but 5>2 that is
xf(y)
therefore, the given statement is possible.