{"status": "success", "data": {"description_md": "**POTD November 25, 2023**\n**Author:** munch\n\nHow many positive integer pairs $(m, n)$ have $2^m+3^n$ as a perfect square?", "description_html": "<p><strong>POTD November 25, 2023</strong><br/>&#10;<strong>Author:</strong> munch</p>&#10;<p>How many positive integer pairs <span class=\"katex--inline\">(m, n)</span> have <span class=\"katex--inline\">2^m+3^n</span> as a perfect square?</p>&#10;", "hints_md": "The LHS is congruent to $\\pm1 \\text{ mod } 3$, and the RHS is either $0$ or $1$ mod 3. This means that both sides are $1$ mode 3.", "hints_html": "<p>The LHS is congruent to <span class=\"katex--inline\">\\pm1 \\text{ mod } 3</span>, and the RHS is either <span class=\"katex--inline\">0</span> or <span class=\"katex--inline\">1</span> mod 3. This means that both sides are <span class=\"katex--inline\">1</span> mode 3.</p>&#10;", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "Problem of the Day #6", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}