Rugby Impossibilities

Number Theory Level 3

A team can score points in a game of rugby as follows:

They can score a penalty, which gives 3 points.
They can also score a try (goal), worth 5 points.
If a team has just scored a try, they get 1 chance at a conversion, which is worth 2 additional points.

What is the sum of all positive integer scores which is impossible for a team to achieve in a game of rugby?

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