Jianhua Li, Feng, Xie , Lee Xie Li, Ganquan Xie<\/p>\n\n\n\n
Dayuling Supercomputing Science Center, CHINA<\/p>\n\n\n\n
Wangcheng, Changsha, Hunan, China<\/p>\n\n\n\n
GL GEOPHYSICAL LSBORATORY, USA<\/p>\n\n\n\n
August 16, 2025<\/p>\n\n\n\n
Abstract<\/p>\n\n\n\n
Chen Jingrun proved that a large even integer number X can be expressed as<\/p>\n\n\n\n
1. X = p + p1<\/sub><\/p>\n\n\n\n or<\/p>\n\n\n\n 2. X = p + p2<\/sub> p3<\/sub><\/p>\n\n\n\n Here p, p1<\/sub>, p2<\/sub> , p 3<\/sub> are prime numbers.<\/p>\n\n\n\n By negative space theory, the second option is excluded. We proved that a large even integer number can be expressed as the sum of two prime numbers .<\/p>\n\n\n\n Intrduction<\/p>\n\n\n\n Chen Jingrun’s paper is a monument to Chinese mathematics in the world. He brought the sieve method to its pinnacle of glory.<\/p>\n\n\n\n Chen Jingrun, a true survivor of the Cultural Revolution, completed his proof in January 1966. Professor Min Sihe reviewed it and found no flaws. Pan Chengdong also reviewed it and found no flaws. Professor Guan Zhaozhi, an expert in functional analysis, Wu Wenjun, a topology expert, and Professor Min, a number theory expert, and Professor Min Sihe, a functional theory expert, jointly recommended it for publication in Volume 17 of the Chinese Science Bulletin in September 1966. In 1973, the full text of Chen’s theorem was published in Chinese Science. From 1973 to his death in 1996, Chen Jingrun worked for another 23 years. He tried every possible way to eliminate his second option possibility: a large even numbers = p + p2<\/sub> p3<\/sub>. This left only option 1, large even numbers = p + p1<\/sub>, where p, p1<\/sub>, p2<\/sub> , p 3<\/sub> are prime numbers. if so, the Goldbach conjecture was proved. However, he tried every possible way to improve the sieve method, but are all fail. He didn’t know about negative space. He also didn’t know that this was a problem that couldn’t be proved in positive space. Chen Jingrun’s extreme efforts could only prove<\/p>\n\n\n\n 1 + 2.<\/p>\n\n\n\n Proof of GoldBach conjecture<\/p>\n\n\n\n Based on Chen Jingrun’s theorem and the theory of Negative Space,<\/p>\n\n\n\n we can prove that if there is option 2, A large even integer number can be expressed as the sum of two prime numbers.<\/p>\n\n\n\n Thus, the 283-year-old puzzle was solved.<\/p>\n","protected":false},"excerpt":{"rendered":" \u57fa\u4e8e\u9648\u666f\u6da6\u5b9a\u7406\u548c\u8d1f\u7a7a\u95f4 \u54e5\u5fb7\u5df4\u8d6b\u731c\u60f3\u7684\u8bc1\u660e \u00a0 \u00a0 \u00a0 \u00a0 The proof of the Goldbach […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":true,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-1011","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"http:\/\/glgeo.com.cn\/index.php?rest_route=\/wp\/v2\/posts\/1011","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/glgeo.com.cn\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/glgeo.com.cn\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/glgeo.com.cn\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/glgeo.com.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1011"}],"version-history":[{"count":6,"href":"http:\/\/glgeo.com.cn\/index.php?rest_route=\/wp\/v2\/posts\/1011\/revisions"}],"predecessor-version":[{"id":1043,"href":"http:\/\/glgeo.com.cn\/index.php?rest_route=\/wp\/v2\/posts\/1011\/revisions\/1043"}],"wp:attachment":[{"href":"http:\/\/glgeo.com.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1011"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/glgeo.com.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1011"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/glgeo.com.cn\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1011"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
X = p + p2 p3 , (1)
then the option 1 must exist.
X = p +p1, (2)
Is hold. Goldbach conjecture is proved.<\/p>\n\n\n\n