{"status": "success", "data": {"description_md": "Find the least positive integer $n$ such that when $3^n$ is written in base $143$, its two right-most digits in base $143$ are $01$.\n___\nLeading zeroes must be inputted, so if your answer is `34`, then input `034`. Full credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>Find the least positive integer <span class=\"katex--inline\">n</span> such that when <span class=\"katex--inline\">3^n</span> is written in base <span class=\"katex--inline\">143</span>, its two right-most digits in base <span class=\"katex--inline\">143</span> are <span class=\"katex--inline\">01</span>.</p>&#10;<hr><p>Leading zeroes must be inputted, so if your answer is <code>34</code>, then input <code>034</code>. Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 5, "problem_name": "2018 AIME I Problem 11", "can_next": true, "can_prev": true, "nxt": "/problem/18_aime_I_p12", "prev": "/problem/18_aime_I_p10"}}