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The sequence of numbers $$S={s_1,s_2,s_3…}$$ is defined by $$s_1=2,s_2=10$$, and for each positive integer n greater than or equal to 3. For example, $$s_3=102$$. What is the greatest value of n for which sn has 2,000 or fewer digits?
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以上解析由 考满分老师提供。