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2013 as a sum of m composite numbers, max m (HOMC 2013 Q5)

Source:

July 30, 2019

maximumSummationcomposite numbers

Problem Statement

The number

n

is called a composite number if it can be written in the form

n = a\times b

, where

a, b

are positive integers greater than

1

. Write number

2013

in a sum of

m

composite numbers. What is the largest value of

m

?
(A):

500

, (B):

501

, (C):

502

, (D):

503

, (E): None of the above.