nkmungila wrote:

For an odd integer n, the function f(n) is defined as the product of all odd integers from 1 to n. The lowest odd prime factor f(71)-1 lies between…

A. 3 and 10

B. 11 and 30

C. 31 and 50

D. 51 and 70

E. 71 and above

Function f(n) is defined as the product of all odd integers from 1 to n

If n=7, f(7) = 7*5*3 = 105 | f(7) -1 = 104 = \(2^2\)*

13If n=11, f(11) = 11*9*7*5*3 = 10395 | f(11) - 1 = 10395 - 1 = 10394

Prime factorizing 10394, we will get 2*

5197 - a prime number

Extrapolating this we will understand that the lowest odd prime factor for

the function f(n) - 1 must be greater than n.

The lowest prime factor of f(71) - 1 will always be greater than 71

(Option E)
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