{"status": "success", "data": {"description_md": "Find the integer that is closest to $1000 \\sum_{n=3}^{10000}\\frac{1}{n^{2}-4}.$\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 integer that is closest to <span class=\"katex--inline\">1000 \\sum_{n=3}^{10000}\\frac{1}{n^{2}-4}.</span></p>&#10;<hr/>&#10;<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>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 4, "problem_name": "2002 AIME II Problem 6", "can_next": true, "can_prev": true, "nxt": "/problem/02_aime_II_p07", "prev": "/problem/02_aime_II_p05"}}