{"status": "success", "data": {"description_md": "For how many positive integers $n$ is $n^2 - 3n + 2$ a prime number?\n\n$\\mathrm{(A)}\\ \\text{none}<br>\\qquad\\mathrm{(B)}\\ \\text{one}<br>\\qquad\\mathrm{(C)}\\ \\text{two}<br>\\qquad\\mathrm{(D)}\\ \\text{more\\ than\\ two,\\ but\\ finitely\\ many}<br>\\qquad\\mathrm{(E)}\\ \\text{infinitely\\ many}$\n___\nFull credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>For how many positive integers  <span class=\"katex--inline\">n</span>  is  <span class=\"katex--inline\">n^2 - 3n + 2</span>  a prime number?</p>&#10;<p> <span class=\"katex--inline\">\\mathrm{(A)}\\ \\text{none}\\qquad\\mathrm{(B)}\\ \\text{one}\\qquad\\mathrm{(C)}\\ \\text{two}\\qquad\\mathrm{(D)}\\ \\text{more\\ than\\ two,\\ but\\ finitely\\ many}\\qquad\\mathrm{(E)}\\ \\text{infinitely\\ many}</span> </p>&#10;<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": 2, "problem_name": "2002 AMC 12B Problem 3", "can_next": true, "can_prev": true, "nxt": "/problem/02_amc12B_p04", "prev": "/problem/02_amc12B_p02"}}