{"status": "success", "data": {"description_md": "Let $a > b$ be positive integers such that $\\gcd(2b+1, 2a-1) = 3$ and $3^8 \\mid (a-b)^{a+b} - 1$. Compute the minimum possible value of $a^2-b^2$.", "description_html": "<p>Let <span class=\"katex--inline\">a &gt; b</span> be positive integers such that <span class=\"katex--inline\">\\gcd(2b+1, 2a-1) = 3</span> and <span class=\"katex--inline\">3^8 \\mid (a-b)^{a+b} - 1</span>. Compute the minimum possible value of <span class=\"katex--inline\">a^2-b^2</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 7, "problem_name": "TxO Math Bowl 2024 - Guts Contest - Set 9 Problem 3", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}