{"status": "success", "data": {"description_md": "The positive difference between a pair of primes is equal to $2$, and the positive difference between the cubes of the two primes is $31106$. What is the sum of the digits of the least prime that is greater than those two primes?\n\n$\\textbf{(A)}\\ 8 \\qquad\\textbf{(B)}\\ 10 \\qquad\\textbf{(C)}\\ 11 \\qquad\\textbf{(D)}\\ 13 \\qquad\\textbf{(E)}\\ 16$", "description_html": "<p>The positive difference between a pair of primes is equal to  <span class=\"katex--inline\">2</span> , and the positive difference between the cubes of the two primes is  <span class=\"katex--inline\">31106</span> . What is the sum of the digits of the least prime that is greater than those two primes?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 8 \\qquad\\textbf{(B)}\\ 10 \\qquad\\textbf{(C)}\\ 11 \\qquad\\textbf{(D)}\\ 13 \\qquad\\textbf{(E)}\\ 16</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": "2022 AMC 10B Problem 13", "can_next": true, "can_prev": true, "nxt": "/problem/22_amc10B_p14", "prev": "/problem/22_amc10B_p12"}}