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# The function F is defined for all positive integers n by the

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The function F is defined for all positive integers n by the [#permalink]  21 Apr 2008, 02:44
The function F is defined for all positive integers n by the following rule:
F(n) is the number of positive integerseach of which is less than n and has no positive factor in common with n other than1.

If p is any primary number then F(p) = ?

1.p-1
2.p-2
3. (p+1)/2
4.(p-1)/2
5.2

OA is p-1, can somebody pls explan ?
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Re: Function [#permalink]  21 Apr 2008, 10:32
This is just a goofy way of saying the definition of a prime number.

A prime number has no factors other than 1 and itself, so EVERY number less than p counts in the function of p. How many numbers are less than p? Why p-1 of course.
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Re: Function [#permalink]  21 Apr 2008, 11:14
Does primary number mean prime number?
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Re: Function [#permalink]  21 Apr 2008, 23:22
it is prime number.
Re: Function   [#permalink] 21 Apr 2008, 23:22
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