{"status": "success", "data": {"description_md": "Find the sum of all values of $p$ such that $p$ is a prime and there exist positive integers $a,b$ such that $p^a + p^b$ is a perfect cube.", "description_html": "<p>Find the sum of all values of <span class=\"katex--inline\">p</span> such that <span class=\"katex--inline\">p</span> is a prime and there exist positive integers <span class=\"katex--inline\">a,b</span> such that <span class=\"katex--inline\">p^a + p^b</span> is a perfect cube.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 5, "problem_name": "AMC Practice #1 - Problem 14", "can_next": true, "can_prev": true, "nxt": "/problem/amc1-p15", "prev": "/problem/amc1-p13"}}