MathDB

Turkey Junior Olympiad 2009, Part II - P3

Source:

January 20, 2013

Problem Statement

The integer

n

has exactly six positive divisors, and they are:

1<a<b<c<d<n

. Let

k=a-1

. If the

k

-th divisor (according to above ordering) of

n

is equal to

(1+a+b)b

, find the highest possible value of

n

.

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