{"id":4826,"date":"2022-06-23T00:01:54","date_gmt":"2022-06-22T22:01:54","guid":{"rendered":"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/?p=4826"},"modified":"2022-06-22T23:40:47","modified_gmt":"2022-06-22T21:40:47","slug":"numeros-primos-factoriales","status":"publish","type":"post","link":"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/numeros-primos-factoriales\/","title":{"rendered":"N\u00fameros primos factoriales"},"content":{"rendered":"

Un n\u00famero primo factorial<\/strong> es un n\u00famero primo que se obtiene sumando o restando uno a los n\u00fameros factoriales. Es decir, son n\u00fameros primos de la forma: <\/span><\/p>\n

n! \u00b1 1<\/strong><\/span><\/p>\n

No todos los n\u00fameros de esta forma son primos. En la siguiente tabla aparecen los n\u00fameros primos (en verde) y los no primos (en rojo), obtenidos a partir de los primeros factoriales.<\/span><\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
n!\u22121<\/span><\/strong><\/td>\nn!<\/span><\/strong><\/td>\nn!+1<\/span><\/strong><\/td>\n<\/tr>\n
0<\/span><\/strong><\/td>\n1<\/span><\/strong><\/td>\n2<\/span><\/strong><\/td>\n<\/tr>\n
1<\/span><\/strong><\/td>\n2<\/span><\/strong><\/td>\n3<\/span><\/strong><\/span><\/td>\n<\/tr>\n
5<\/span><\/span><\/strong><\/td>\n6<\/span><\/strong><\/td>\n7<\/span><\/strong><\/span><\/td>\n<\/tr>\n
23<\/span><\/strong><\/td>\n24<\/span><\/strong><\/td>\n25<\/span><\/strong><\/td>\n<\/tr>\n
119<\/span><\/strong><\/span><\/td>\n120<\/span><\/strong><\/td>\n121<\/span><\/strong><\/span><\/td>\n<\/tr>\n
719<\/span><\/strong><\/td>\n720<\/span><\/strong><\/td>\n721<\/span><\/strong><\/span><\/td>\n<\/tr>\n
5039<\/span><\/strong><\/td>\n5040<\/span><\/strong><\/td>\n5041<\/span><\/strong><\/span><\/td>\n<\/tr>\n
40319<\/span><\/strong><\/span><\/td>\n40320<\/span><\/strong><\/td>\n40321<\/span><\/strong><\/span><\/td>\n<\/tr>\n
362879<\/span><\/strong><\/span><\/td>\n362880<\/span><\/strong><\/td>\n362881<\/span><\/strong><\/span><\/td>\n<\/tr>\n
3628799<\/span><\/strong><\/span><\/td>\n3628800<\/span><\/strong><\/td>\n3628801<\/span><\/strong><\/span><\/td>\n<\/tr>\n
39916799<\/span><\/strong><\/span><\/td>\n39916800<\/span><\/strong><\/td>\n39916801<\/span><\/strong><\/span><\/td>\n<\/tr>\n
479001599<\/span><\/strong><\/span><\/td>\n479001600<\/span><\/strong><\/td>\n479001601<\/span><\/strong><\/span><\/td>\n<\/tr>\n
6227020799<\/span><\/strong><\/span><\/td>\n6227020800<\/span><\/strong><\/td>\n6227020801<\/span><\/strong><\/span><\/td>\n<\/tr>\n
87178294199<\/span><\/strong><\/span><\/td>\n87178294200<\/span><\/strong><\/td>\n87178294201<\/span><\/strong><\/span><\/td>\n<\/tr>\n
1307674367999<\/span><\/strong><\/span><\/td>\n1307674368000<\/span><\/strong><\/td>\n1307674368001<\/span><\/strong><\/span><\/td>\n<\/tr>\n
. . .<\/span><\/span><\/td>\n. . .<\/span><\/strong><\/td>\n. . .<\/span><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"

Un n\u00famero primo factorial es un n\u00famero primo que se obtiene sumando o restando uno a los n\u00fameros factoriales. Es decir, son n\u00fameros primos de la forma: n! \u00b1 1 No todos los n\u00fameros...<\/p>\n","protected":false},"author":7927,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"ngg_post_thumbnail":0,"footnotes":""},"categories":[2075204],"tags":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/wp-json\/wp\/v2\/posts\/4826"}],"collection":[{"href":"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/wp-json\/wp\/v2\/users\/7927"}],"replies":[{"embeddable":true,"href":"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/wp-json\/wp\/v2\/comments?post=4826"}],"version-history":[{"count":6,"href":"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/wp-json\/wp\/v2\/posts\/4826\/revisions"}],"predecessor-version":[{"id":4832,"href":"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/wp-json\/wp\/v2\/posts\/4826\/revisions\/4832"}],"wp:attachment":[{"href":"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/wp-json\/wp\/v2\/media?parent=4826"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/wp-json\/wp\/v2\/categories?post=4826"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/wp-json\/wp\/v2\/tags?post=4826"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}