Solve the following problems. You can use this paper for calculations, but make

Question

Solve the following problems. You can use this paper for calculations, but make sure you FILL IN your answers on the Scantron Sheet with a #2 pencil. ONLY the Scantron Sheet will be graded. Each problem worth's. If in Element Z is a composite, then n has a prime divisor p that: p greaterthanorequalto Squareroot n p greaterthanorequalto Squareroot n p greaterthanorequalto Squareroot n If p is a prime, then p! - p + 2 is composite for: p = 2 p = 3 p = 5 The function f (n) = n^2 + n + 17 fails to be a prime-generating function for: n = 4 n = 16 n = 11 The lcm (2 3 5^2 7^3, 2 3^2 5^3 11^2) is: 3^2 5 7^2 11 2 3 7^3 2 3 5 7 11 2 3 5^2

Explanation / Answer

1-> B

As for each number p dividing n there will be a number corresponding to

It as p1 such that p*p1 = n;

As p increases p1 decreases so p*p = n; or p*p less than n;

That means p less than root n;

2-> D as no number satisfies.

3-> B as n(n+1) + 17 for n =16 we have( 16 + 1 )17

4->C as common numbers are 2,3,5^2

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