{"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$\\mathrm{(A) \\ } \\text{even}\\qquad \\mathrm{(B) \\ } \\text{divisible by }3\\qquad \\mathrm{(C) \\ } \\text{divisible by }5\\qquad \\mathrm{(D) \\ } \\text{divisible by }7\\qquad \\mathrm{(E) \\ } \\text{prime}$", "description_html": "<p>The positive integers  <span class=\"katex--inline\">A</span> ,  <span class=\"katex--inline\">B</span> ,  <span class=\"katex--inline\">A-B</span> , and  <span class=\"katex--inline\">A+B</span>  are all prime numbers. The sum of these four primes is</p>\n<p> <span class=\"katex--inline\">\\mathrm{(A) \\ } \\text{even}\\qquad \\mathrm{(B) \\ } \\text{divisible by }3\\qquad \\mathrm{(C) \\ } \\text{divisible by }5\\qquad \\mathrm{(D) \\ } \\text{divisible by }7\\qquad \\mathrm{(E) \\ } \\text{prime}</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 10B Problem 15", "can_next": true, "can_prev": true, "nxt": "/problem/02_amc10B_p16", "prev": "/problem/02_amc10B_p14"}}