{"group":{"id":1,"name":"Community","lockable":false,"created_at":"2012-01-18T18:02:15.000Z","updated_at":"2026-04-06T14:01:22.000Z","description":"Problems submitted by members of the MATLAB Central community.","is_default":true,"created_by":161519,"badge_id":null,"featured":false,"trending":false,"solution_count_in_trending_period":0,"trending_last_calculated":"2026-04-06T00:00:00.000Z","image_id":null,"published":true,"community_created":false,"status_id":2,"is_default_group_for_player":false,"deleted_by":null,"deleted_at":null,"restored_by":null,"restored_at":null,"description_opc":null,"description_html":null,"published_at":null},"problems":[{"id":47895,"title":"List the dihedral primes","description":"The number 1880111 is a dihedral prime (or dihedral calculator prime) because on a seven-segment display it is prime (a) forward, (b) upside-down, (c) in a mirror, and (d) in a mirror upside-down. The number 120121 is the smallest dihedral prime that forms four different numbers read in those four ways. \r\nWrite a function to list the dihedral primes less than or equal to the input number. ","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 93px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 46.5px; transform-origin: 407px 46.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 267.5px 8px; transform-origin: 267.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe number 1880111 is a dihedral prime (or dihedral calculator prime) because on a \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Seven-segment_display\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eseven-segment display\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 44px 8px; transform-origin: 44px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e it is prime (a) forward, (b) upside-down, (c) in a mirror, and (d) in a mirror upside-down. The number 120121 is the smallest dihedral prime that forms four different numbers read in those four ways. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 256px 8px; transform-origin: 256px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to list the dihedral primes less than or equal to the input number. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = dihedralPrimes(n)\r\n  y = f(n);\r\nend","test_suite":"%%\r\nn = 10;\r\ny_correct = [2 5];\r\nassert(isequal(dihedralPrimes(n),y_correct))\r\n\r\n%%\r\nn = 100;\r\ny_correct = [2 5 11];\r\nassert(isequal(dihedralPrimes(n),y_correct))\r\n\r\n%%\r\nn = 1000;\r\ny_correct = [2 5 11 101 181];\r\nassert(isequal(dihedralPrimes(n),y_correct))\r\n\r\n%%\r\nn = 10000;\r\ny_correct = [2 5 11 101 181 1181 1811];\r\nassert(isequal(dihedralPrimes(n),y_correct))\r\n\r\n%%\r\nn = 100000;\r\ny_correct = [2 5 11 101 181 1181 1811 18181];\r\nassert(isequal(dihedralPrimes(n),y_correct))\r\n\r\n%%\r\nn = 1000000;\r\ny_correct = [2 5 11 101 181 1181 1811 18181 108881 110881 118081 120121 121021 121151 150151 151051 151121 180181 180811 181081 188011 188801];\r\nassert(isequal(dihedralPrimes(n),y_correct))\r\n\r\n%%\r\nn = 1e8;\r\ny = dihedralPrimes(n);\r\nyp_correct = [12552251 12585121 12815581 15128251 15225521 15282151 15525221 15812281 18001811 18010001 18011101 18088801 18110101 18111881 18188801 18201011 18221851 18288581 18501011 18551821 18588281 18811181 18881011 18888011];\r\nassert(isequal(y(91:114),yp_correct))\r\n\r\n%%\r\nfiletext = fileread('dihedralPrimes.m');\r\ncheating = ~isempty(strfind(filetext, 'urlread')) || ~isempty(strfind(filetext, 'oeis')) || ...\r\n    ~isempty(strfind(filetext, \"110881\")); %Added by Dyuman Joshi to disallow and prevent hard coded solutions\r\nassert(~cheating)","published":true,"deleted":false,"likes_count":2,"comments_count":1,"created_by":46909,"edited_by":223089,"edited_at":"2023-04-19T07:44:32.000Z","deleted_by":null,"deleted_at":null,"solvers_count":12,"test_suite_updated_at":"2023-04-19T07:44:32.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2020-12-11T14:07:22.000Z","updated_at":"2025-10-01T07:01:22.000Z","published_at":"2020-12-11T14:18:24.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe number 1880111 is a dihedral prime (or dihedral calculator prime) because on a \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Seven-segment_display\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eseven-segment display\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e it is prime (a) forward, (b) upside-down, (c) in a mirror, and (d) in a mirror upside-down. The number 120121 is the smallest dihedral prime that forms four different numbers read in those four ways. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to list the dihedral primes less than or equal to the input number. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"}],"problem_search":{"errors":[],"problems":[{"id":47895,"title":"List the dihedral primes","description":"The number 1880111 is a dihedral prime (or dihedral calculator prime) because on a seven-segment display it is prime (a) forward, (b) upside-down, (c) in a mirror, and (d) in a mirror upside-down. The number 120121 is the smallest dihedral prime that forms four different numbers read in those four ways. \r\nWrite a function to list the dihedral primes less than or equal to the input number. ","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 93px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 46.5px; transform-origin: 407px 46.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 267.5px 8px; transform-origin: 267.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe number 1880111 is a dihedral prime (or dihedral calculator prime) because on a \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Seven-segment_display\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eseven-segment display\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 44px 8px; transform-origin: 44px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e it is prime (a) forward, (b) upside-down, (c) in a mirror, and (d) in a mirror upside-down. The number 120121 is the smallest dihedral prime that forms four different numbers read in those four ways. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 256px 8px; transform-origin: 256px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to list the dihedral primes less than or equal to the input number. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = dihedralPrimes(n)\r\n  y = f(n);\r\nend","test_suite":"%%\r\nn = 10;\r\ny_correct = [2 5];\r\nassert(isequal(dihedralPrimes(n),y_correct))\r\n\r\n%%\r\nn = 100;\r\ny_correct = [2 5 11];\r\nassert(isequal(dihedralPrimes(n),y_correct))\r\n\r\n%%\r\nn = 1000;\r\ny_correct = [2 5 11 101 181];\r\nassert(isequal(dihedralPrimes(n),y_correct))\r\n\r\n%%\r\nn = 10000;\r\ny_correct = [2 5 11 101 181 1181 1811];\r\nassert(isequal(dihedralPrimes(n),y_correct))\r\n\r\n%%\r\nn = 100000;\r\ny_correct = [2 5 11 101 181 1181 1811 18181];\r\nassert(isequal(dihedralPrimes(n),y_correct))\r\n\r\n%%\r\nn = 1000000;\r\ny_correct = [2 5 11 101 181 1181 1811 18181 108881 110881 118081 120121 121021 121151 150151 151051 151121 180181 180811 181081 188011 188801];\r\nassert(isequal(dihedralPrimes(n),y_correct))\r\n\r\n%%\r\nn = 1e8;\r\ny = dihedralPrimes(n);\r\nyp_correct = [12552251 12585121 12815581 15128251 15225521 15282151 15525221 15812281 18001811 18010001 18011101 18088801 18110101 18111881 18188801 18201011 18221851 18288581 18501011 18551821 18588281 18811181 18881011 18888011];\r\nassert(isequal(y(91:114),yp_correct))\r\n\r\n%%\r\nfiletext = fileread('dihedralPrimes.m');\r\ncheating = ~isempty(strfind(filetext, 'urlread')) || ~isempty(strfind(filetext, 'oeis')) || ...\r\n    ~isempty(strfind(filetext, \"110881\")); %Added by Dyuman Joshi to disallow and prevent hard coded solutions\r\nassert(~cheating)","published":true,"deleted":false,"likes_count":2,"comments_count":1,"created_by":46909,"edited_by":223089,"edited_at":"2023-04-19T07:44:32.000Z","deleted_by":null,"deleted_at":null,"solvers_count":12,"test_suite_updated_at":"2023-04-19T07:44:32.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2020-12-11T14:07:22.000Z","updated_at":"2025-10-01T07:01:22.000Z","published_at":"2020-12-11T14:18:24.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe number 1880111 is a dihedral prime (or dihedral calculator prime) because on a \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Seven-segment_display\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eseven-segment display\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e it is prime (a) forward, (b) upside-down, (c) in a mirror, and (d) in a mirror upside-down. The number 120121 is the smallest dihedral prime that forms four different numbers read in those four ways. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to list the dihedral primes less than or equal to the input number. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"}],"term":"tag:\"seven-segment 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