Manhattan GMAT Challenge Problem of the Week-9 Nov 2010

srinivasskc

Srinivas Kadiyala
The function p(n) on non-negative integer n is defined in the following way: the units digit of n is the exponent of 2 in the prime factorization of p(n), the tens digit is the exponent of 3, and in general, for positive integer k, the digit in the
math_993_7ca55d1536b1765f5b2d6477e60e7473.png
place of n is the exponent on the k th smallest prime in the prime factorization of p(n).

for each instance,
math_991.5_352b39cb9d78acf95c85af1798280b37.png
. What is the smallest positive integer that is not equal to p(n) for any permissible n?

A) 1
B) 29
C) 31
D) 1,024
E) 2,310
 
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