{"status": "success", "data": {"description_md": "Let $n$ be the largest integer that is the product of exactly 3 distinct prime numbers $d$, $e$, and $10d+e$, where $d$ and $e$ are single digits. What is the sum of the digits of $n$?\n\n$\\mathrm{(A) \\ } 12\\qquad \\mathrm{(B) \\ } 15\\qquad \\mathrm{(C) \\ } 18\\qquad \\mathrm{(D) \\ } 21\\qquad \\mathrm{(E) \\ } 24$", "description_html": "<p>Let  <span class=\"katex--inline\">n</span>  be the largest integer that is the product of exactly 3 distinct prime numbers  <span class=\"katex--inline\">d</span> ,  <span class=\"katex--inline\">e</span> , and  <span class=\"katex--inline\">10d+e</span> , where  <span class=\"katex--inline\">d</span>  and  <span class=\"katex--inline\">e</span>  are single digits. What is the sum of the digits of  <span class=\"katex--inline\">n</span> ?</p>\n<p> <span class=\"katex--inline\">\\mathrm{(A) \\ } 12\\qquad \\mathrm{(B) \\ } 15\\qquad \\mathrm{(C) \\ } 18\\qquad \\mathrm{(D) \\ } 21\\qquad \\mathrm{(E) \\ } 24</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": 3, "problem_name": "2003 AMC 10A Problem 14", "can_next": true, "can_prev": true, "nxt": "/problem/03_amc10A_p15", "prev": "/problem/03_amc10A_p13"}}