{"status": "success", "data": {"description_md": "**POTD January 23, 2024**\n\nlet $n$ be the smallest positive integer such that $73^n - 4^n$ is divisible by $3^4\\times23^2$. Find the sum of digits of $n$.", "description_html": "<p><strong>POTD January 23, 2024</strong></p>&#10;<p>let <span class=\"katex--inline\">n</span> be the smallest positive integer such that <span class=\"katex--inline\">73^n - 4^n</span> is divisible by <span class=\"katex--inline\">3^4\\times23^2</span>. Find the sum of digits of <span class=\"katex--inline\">n</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 4, "problem_name": "Problem of the Day #49", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}