{"status": "success", "data": {"description_md": "For how many positive integers $m$ does there exist at least one positive integer $n$ such that $mn \\le m + n$?\n\n$\\text{(A)}\\ 4 \\qquad \\text{(B)}\\ 6 \\qquad \\text{(C)}\\ 9 \\qquad \\text{(D)}\\ 12 \\qquad \\text{(E)}$ infinitely many", "description_html": "<p>For how many positive integers  <span class=\"katex--inline\">m</span>  does there exist at least one positive integer  <span class=\"katex--inline\">n</span>  such that  <span class=\"katex--inline\">mn \\le m + n</span> ?</p>\n<p> <span class=\"katex--inline\">\\text{(A)}\\ 4 \\qquad \\text{(B)}\\ 6 \\qquad \\text{(C)}\\ 9 \\qquad \\text{(D)}\\ 12 \\qquad \\text{(E)}</span>  infinitely many</p>\n<hr><p>Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 1, "problem_name": "2002 AMC 10A Problem 4", "can_next": true, "can_prev": true, "nxt": "/problem/02_amc10A_p05", "prev": "/problem/02_amc10A_p03"}}