{"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 <span class=\"katex--inline\">3</span> 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>&#10;<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>&#10;", "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"}}