{"group":{"id":1,"name":"Community","lockable":false,"created_at":"2012-01-18T18:02:15.000Z","updated_at":"2026-04-16T00:12:35.000Z","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":"2026-04-16T00:00:00.000Z","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":60401,"title":"Find primes and integers that solve an equation","description":"Write a function to find all primes  and non-negative integers  that solve the equation\r\n\r\nwhere  is an integer. If there are no solutions for a given value of , return p = [] and k = [].","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: 81px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 40.5px; transform-origin: 407px 40.5px; vertical-align: baseline; \"\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-collapse: preserve; 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: 103.333px 8px; transform-origin: 103.333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to find all primes \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ep\u003c/span\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: 84.8083px 8px; transform-origin: 84.8083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and non-negative integers \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ek\u003c/span\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: 72.35px 8px; transform-origin: 72.35px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e that solve the equation\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-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"79.5\" height=\"19\" alt=\"p! + ap = k^2\" style=\"width: 79.5px; height: 19px;\"\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-collapse: preserve; 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: 21.0083px 8px; transform-origin: 21.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ea\u003c/span\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: 179.692px 8px; transform-origin: 179.692px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is an integer. If there are no solutions for a given value of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ea\u003c/span\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: 24.1083px 8px; transform-origin: 24.1083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, return \u003c/span\u003e\u003c/span\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: 26.95px 8px; transform-origin: 26.95px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003ep = [] \u003c/span\u003e\u003c/span\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: 13.6167px 8px; transform-origin: 13.6167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand \u003c/span\u003e\u003c/span\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: 23.1px 8px; transform-origin: 23.1px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003ek = []\u003c/span\u003e\u003c/span\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: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [p,k] = Wilson(a)\r\n  p = primes(a); \r\n  k = randi(a);\r\nend","test_suite":"%%\r\na = 25;\r\n[p,k] = Wilson(a);\r\np_correct = 3;\r\nk_correct = 9;\r\nassert(isequal(p,p_correct) \u0026\u0026 isequal(k,k_correct))\r\n\r\n%%\r\na = -4;\r\n[p,k] = Wilson(a);\r\np_correct = 5;\r\nk_correct = 10;\r\nassert(isequal(p,p_correct) \u0026\u0026 isequal(k,k_correct))\r\n\r\n%%\r\na = 7;\r\n[p,k] = Wilson(a);\r\ns = sum(num2str((k*p)^k)-'0');\r\ns_correct = 19;\r\nassert(isequal(s,s_correct))\r\n\r\n%%\r\na = 10;\r\n[p,k] = Wilson(a);\r\ns = sum(num2str((k*p)^k)-'0');\r\ns_correct = 18;\r\nassert(isequal(s,s_correct))\r\n\r\n%%\r\na = 17;\r\n[p,k] = Wilson(a);\r\ns = sum(num2str((k*p)^k)-'0');\r\ns_correct = 45;\r\nassert(isequal(s,s_correct))\r\n\r\n%%\r\na = 21;\r\n[p,k] = Wilson(a);\r\ns = sum(num2str((k*p)^p)-'0');\r\ns_correct = 45;\r\nassert(isequal(s,s_correct))\r\n\r\n%%\r\na = 31;\r\n[p,k] = Wilson(a);\r\ns = sum(num2str((k*p)^k)-'0');\r\ns_correct = 58;\r\nassert(isequal(s,s_correct))\r\n\r\n%%\r\na = 12;\r\n[p,k] = Wilson(a);\r\nassert(isempty(p) \u0026\u0026 isempty(k))\r\n\r\n%%\r\na = -20;\r\n[p,k] = Wilson(a);\r\ns = sum(num2str(k^p)-'0');\r\ns_correct = 25;\r\nassert(isequal(s,s_correct))\r\n\r\n%% \r\nA = -[1 2 24];\r\nj = randi(3);\r\n[~,k] = Wilson(A(j));\r\nassert(~k)\r\n\r\n%%\r\na = -19;\r\n[p,k] = Wilson(a);\r\nassert(isequal(p,k))\r\n\r\n%%\r\na = 22;\r\n[p,k] = Wilson(a);\r\nassert(isempty(p) \u0026\u0026 isempty(k))\r\n\r\n%%\r\nfiletext = fileread('Wilson.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'assert') || contains(filetext,'regexp'); \r\nassert(~illegal)\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":1,"created_by":46909,"edited_by":46909,"edited_at":"2024-05-25T05:11:46.000Z","deleted_by":null,"deleted_at":null,"solvers_count":10,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2024-05-25T05:11:40.000Z","updated_at":"2026-02-02T04:13:20.000Z","published_at":"2024-05-25T05:11:48.000Z","restored_at":null,"restored_by":null,"spam":false,"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\u003eWrite a function to find all primes \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"p\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ep\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and non-negative integers \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"k\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ek\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e that solve the equation\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:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"p! + ap = k^2\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ep! + ap = k^2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\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\u003ewhere \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"a\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ea\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is an integer. If there are no solutions for a given value of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"a\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ea\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, return \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep = [] \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eand \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ek = []\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e.\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":60401,"title":"Find primes and integers that solve an equation","description":"Write a function to find all primes  and non-negative integers  that solve the equation\r\n\r\nwhere  is an integer. If there are no solutions for a given value of , return p = [] and k = [].","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: 81px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 40.5px; transform-origin: 407px 40.5px; vertical-align: baseline; \"\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-collapse: preserve; 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: 103.333px 8px; transform-origin: 103.333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to find all primes \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ep\u003c/span\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: 84.8083px 8px; transform-origin: 84.8083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and non-negative integers \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ek\u003c/span\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: 72.35px 8px; transform-origin: 72.35px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e that solve the equation\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-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"79.5\" height=\"19\" alt=\"p! + ap = k^2\" style=\"width: 79.5px; height: 19px;\"\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-collapse: preserve; 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: 21.0083px 8px; transform-origin: 21.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ea\u003c/span\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: 179.692px 8px; transform-origin: 179.692px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is an integer. If there are no solutions for a given value of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ea\u003c/span\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: 24.1083px 8px; transform-origin: 24.1083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, return \u003c/span\u003e\u003c/span\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: 26.95px 8px; transform-origin: 26.95px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003ep = [] \u003c/span\u003e\u003c/span\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: 13.6167px 8px; transform-origin: 13.6167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand \u003c/span\u003e\u003c/span\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: 23.1px 8px; transform-origin: 23.1px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003ek = []\u003c/span\u003e\u003c/span\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: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [p,k] = Wilson(a)\r\n  p = primes(a); \r\n  k = randi(a);\r\nend","test_suite":"%%\r\na = 25;\r\n[p,k] = Wilson(a);\r\np_correct = 3;\r\nk_correct = 9;\r\nassert(isequal(p,p_correct) \u0026\u0026 isequal(k,k_correct))\r\n\r\n%%\r\na = -4;\r\n[p,k] = Wilson(a);\r\np_correct = 5;\r\nk_correct = 10;\r\nassert(isequal(p,p_correct) \u0026\u0026 isequal(k,k_correct))\r\n\r\n%%\r\na = 7;\r\n[p,k] = Wilson(a);\r\ns = sum(num2str((k*p)^k)-'0');\r\ns_correct = 19;\r\nassert(isequal(s,s_correct))\r\n\r\n%%\r\na = 10;\r\n[p,k] = Wilson(a);\r\ns = sum(num2str((k*p)^k)-'0');\r\ns_correct = 18;\r\nassert(isequal(s,s_correct))\r\n\r\n%%\r\na = 17;\r\n[p,k] = Wilson(a);\r\ns = sum(num2str((k*p)^k)-'0');\r\ns_correct = 45;\r\nassert(isequal(s,s_correct))\r\n\r\n%%\r\na = 21;\r\n[p,k] = Wilson(a);\r\ns = sum(num2str((k*p)^p)-'0');\r\ns_correct = 45;\r\nassert(isequal(s,s_correct))\r\n\r\n%%\r\na = 31;\r\n[p,k] = Wilson(a);\r\ns = sum(num2str((k*p)^k)-'0');\r\ns_correct = 58;\r\nassert(isequal(s,s_correct))\r\n\r\n%%\r\na = 12;\r\n[p,k] = Wilson(a);\r\nassert(isempty(p) \u0026\u0026 isempty(k))\r\n\r\n%%\r\na = -20;\r\n[p,k] = Wilson(a);\r\ns = sum(num2str(k^p)-'0');\r\ns_correct = 25;\r\nassert(isequal(s,s_correct))\r\n\r\n%% \r\nA = -[1 2 24];\r\nj = randi(3);\r\n[~,k] = Wilson(A(j));\r\nassert(~k)\r\n\r\n%%\r\na = -19;\r\n[p,k] = Wilson(a);\r\nassert(isequal(p,k))\r\n\r\n%%\r\na = 22;\r\n[p,k] = Wilson(a);\r\nassert(isempty(p) \u0026\u0026 isempty(k))\r\n\r\n%%\r\nfiletext = fileread('Wilson.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'assert') || contains(filetext,'regexp'); \r\nassert(~illegal)\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":1,"created_by":46909,"edited_by":46909,"edited_at":"2024-05-25T05:11:46.000Z","deleted_by":null,"deleted_at":null,"solvers_count":10,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2024-05-25T05:11:40.000Z","updated_at":"2026-02-02T04:13:20.000Z","published_at":"2024-05-25T05:11:48.000Z","restored_at":null,"restored_by":null,"spam":false,"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\u003eWrite a function to find all primes \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"p\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ep\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and non-negative integers \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"k\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ek\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e that solve the equation\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:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"p! + ap = k^2\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ep! + ap = k^2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\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\u003ewhere \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"a\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ea\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is an integer. 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