{"status": "success", "data": {"description_md": "What is the greatest three-digit positive integer $n$ for which the sum of the first $n$ positive integers is $\\underline{\\text{not}}$ a divisor of the product of the first $n$ positive integers?\n\n$\\textbf{(A) } 995 \\qquad\\textbf{(B) } 996 \\qquad\\textbf{(C) } 997 \\qquad\\textbf{(D) } 998 \\qquad\\textbf{(E) } 999$", "description_html": "<p>What is the greatest three-digit positive integer  <span class=\"katex--inline\">n</span>  for which the sum of the first  <span class=\"katex--inline\">n</span>  positive integers is  <span class=\"katex--inline\">\\underline{\\text{not}}</span>  a divisor of the product of the first  <span class=\"katex--inline\">n</span>  positive integers?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A) } 995 \\qquad\\textbf{(B) } 996 \\qquad\\textbf{(C) } 997 \\qquad\\textbf{(D) } 998 \\qquad\\textbf{(E) } 999</span> </p>\n<hr><p>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": 1, "problem_name": "2019 AMC 10A Problem 9", "can_next": true, "can_prev": true, "nxt": "/problem/19_amc10A_p10", "prev": "/problem/19_amc10A_p08"}}