{"status": "success", "data": {"description_md": "Both roots of the quadratic equation $x^2 - 63x + k = 0$ are prime numbers. The number of possible values of $k$ is \n\n$\\text{(A)}\\ 0 \\qquad \\text{(B)}\\ 1 \\qquad \\text{(C)}\\ 2 \\qquad \\text{(D)}\\ 4 \\qquad \\text{(E) more than 4}$", "description_html": "<p>Both roots of the quadratic equation  <span class=\"katex--inline\">x^2 - 63x + k = 0</span>  are prime numbers. The number of possible values of  <span class=\"katex--inline\">k</span>  is</p>\n<p> <span class=\"katex--inline\">\\text{(A)}\\ 0 \\qquad \\text{(B)}\\ 1 \\qquad \\text{(C)}\\ 2 \\qquad \\text{(D)}\\ 4 \\qquad \\text{(E) more than 4}</span> </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": 3, "problem_name": "2002 AMC 10A Problem 14", "can_next": true, "can_prev": true, "nxt": "/problem/02_amc10A_p15", "prev": "/problem/02_amc10A_p13"}}