# Not all 1

**Number Theory**Level 3

Out of 130 positive integers which satisfy

\[ n_1 + n_2 + n_3 + \ldots + n_{130} > n_1 \times n_2 \times n_3 \times \ldots \times n_{130}, \]

what is the minimum number of integers which are equal to 1?

Out of 130 positive integers which satisfy

\[ n_1 + n_2 + n_3 + \ldots + n_{130} > n_1 \times n_2 \times n_3 \times \ldots \times n_{130}, \]

what is the minimum number of integers which are equal to 1?

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