{"status": "success", "data": {"description_md": "Find the sum of the digits of the largest prime factor $p$ of $7^8+7^7+7^4+7+1$, given that $p > 2500$.\n\n$\\textbf{(A)}~5\\qquad\\textbf{(B)}~7\\qquad\\textbf{(C)}~8\\qquad\\textbf{(D)}~10\\qquad\\textbf{(E)}~11$", "description_html": "<p>Find the sum of the digits of the largest prime factor <span class=\"katex--inline\">p</span> of <span class=\"katex--inline\">7^8+7^7+7^4+7+1</span>, given that <span class=\"katex--inline\">p &gt; 2500</span>.</p>&#10;<p><span class=\"katex--inline\">\\textbf{(A)}~5\\qquad\\textbf{(B)}~7\\qquad\\textbf{(C)}~8\\qquad\\textbf{(D)}~10\\qquad\\textbf{(E)}~11</span></p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 4, "problem_name": "2024 Mock AMC 12 - Problem 18", "can_next": true, "can_prev": true, "nxt": "/problem/2024_mock_amc12-p19", "prev": "/problem/2024_mock_amc12-p17"}}