Not all 1

Number Theory Level 3

Out of 130 positive integers which satisfy

n1+n2+n3+…+n130>n1×n2×n3×…×n130, 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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Calvin Lin by Calvin Lin
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