{"status": "success", "data": {"description_md": "The positive integers $A, B, A-B,$ and $A+B$ are all prime numbers. The sum of these four primes is\n\n$\\mathrm{(A)}\\ \\mathrm{even}<br>\\qquad\\mathrm{(B)}\\ \\mathrm{divisible\\ by\\ }3<br>\\qquad\\mathrm{(C)}\\ \\mathrm{divisible\\ by\\ }5<br>\\qquad\\mathrm{(D)}\\ \\mathrm{divisible\\ by\\ }7<br>\\qquad\\mathrm{(E)}\\ \\mathrm{prime}$\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>The positive integers  <span class=\"katex--inline\">A, B, A-B,</span>  and  <span class=\"katex--inline\">A+B</span>  are all prime numbers. The sum of these four primes is</p>&#10;<p> <span class=\"katex--inline\">\\mathrm{(A)}\\ \\mathrm{even}\\qquad\\mathrm{(B)}\\ \\mathrm{divisible\\ by\\ }3\\qquad\\mathrm{(C)}\\ \\mathrm{divisible\\ by\\ }5\\qquad\\mathrm{(D)}\\ \\mathrm{divisible\\ by\\ }7\\qquad\\mathrm{(E)}\\ \\mathrm{prime}</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": 3, "problem_name": "2002 AMC 12B Problem 11", "can_next": true, "can_prev": true, "nxt": "/problem/02_amc12B_p12", "prev": "/problem/02_amc12B_p10"}}