1000 chocolates? Yummy!

Algebra Level 3

1000 chocolates are placed on a table. On their covers, they are labelled \(1,2,3,4, \cdots ,1000\). Two friends Sandeep and Abhiram eat chocolates labelled in the arithmetic progressions \(3,6,9,12,15,\cdots\) and \(7,14,21,28,35,\cdots\) respectively. If ever there is any conflict between them i.e. if both are entitled to eat the same chocolate, Sandeep eats it. So, what is the total number of chocolates which are not eaten?

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