{"status": "success", "data": {"description_md": "**POTD November 3, 2024**\n\nGiven the equation $$k(k+1)(k+3)(k+6) = n(n+1),$$ find the largest integer $n$ for which there exists an integer solution $(k, n)$.", "description_html": "<p><strong>POTD November 3, 2024</strong></p>&#10;<p>Given the equation <span class=\"katex--display\">k(k+1)(k+3)(k+6) = n(n+1),</span> find the largest integer <span class=\"katex--inline\">n</span> for which there exists an integer solution <span class=\"katex--inline\">(k, n)</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 5, "problem_name": "Problem of the Day #320", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}