Consider the whole numbers n from 1 to 1000, both included. For how many of these is the value of n² + 9n + 5 an exact multiple of 15?

Consider the whole numbers $n$ from $1$ to $1000$ , both included. For how many of these is the value of $n^2 + 9n + 5$ an exact multiple of $15$ ?

Type your answer as a number (a decimal point is allowed). A wrong answer may cost marks.

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