[{"@context":"http:\/\/schema.org\/","@type":"BlogPosting","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/5865#BlogPosting","mainEntityOfPage":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/5865","headline":"Cram\u00e9rConjection-\u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2\u3001\u7121\u6599\u200b\u200b\u767e\u79d1\u4e8b\u5178","name":"Cram\u00e9rConjection-\u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2\u3001\u7121\u6599\u200b\u200b\u767e\u79d1\u4e8b\u5178","description":"before-content-x4 \u6570\u5b57\u7406\u8ad6\u3067\u306f\u3001 Cram\u00e9rconinet \u30011936\u5e74\u306b\u30b9\u30a6\u30a7\u30fc\u30c7\u30f3\u306e\u6570\u5b66\u8005\u306e\u30cf\u30e9\u30eb\u30c9\u30fb\u30af\u30e9\u30de\u30fc\u306b\u3088\u3063\u3066\u7b56\u5b9a\u3055\u308c\u305f\u3001 [ \u521d\u3081 ] \u305d\u308c\u306f\u8a00\u3046 Lim Sup n\u2192\u221epn+1\u2212pn(log\u2061pn)2= \u521d\u3081 {displaystyle limsup _ {nrightArrow infty} {frac {p_ {n+1}","datePublished":"2020-04-26","dateModified":"2020-04-26","author":{"@type":"Person","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/author\/lordneo#Person","name":"lordneo","url":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/author\/lordneo","image":{"@type":"ImageObject","@id":"https:\/\/secure.gravatar.com\/avatar\/44a4cee54c4c053e967fe3e7d054edd4?s=96&d=mm&r=g","url":"https:\/\/secure.gravatar.com\/avatar\/44a4cee54c4c053e967fe3e7d054edd4?s=96&d=mm&r=g","height":96,"width":96}},"publisher":{"@type":"Organization","name":"Enzyklop\u00e4die","logo":{"@type":"ImageObject","@id":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/08\/download.jpg","url":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/08\/download.jpg","width":600,"height":60}},"image":{"@type":"ImageObject","@id":"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/da49e0d3075cc236f5a3796f31f9676909a36e4e","url":"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/da49e0d3075cc236f5a3796f31f9676909a36e4e","height":"","width":""},"url":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/5865","wordCount":7298,"articleBody":"     (adsbygoogle = window.adsbygoogle || []).push({});before-content-x4\u6570\u5b57\u7406\u8ad6\u3067\u306f\u3001 Cram\u00e9rconinet \u30011936\u5e74\u306b\u30b9\u30a6\u30a7\u30fc\u30c7\u30f3\u306e\u6570\u5b66\u8005\u306e\u30cf\u30e9\u30eb\u30c9\u30fb\u30af\u30e9\u30de\u30fc\u306b\u3088\u3063\u3066\u7b56\u5b9a\u3055\u308c\u305f\u3001 [ \u521d\u3081 ] \u305d\u308c\u306f\u8a00\u3046 Lim Sup n\u2192\u221epn+1\u2212pn(log\u2061pn)2= \u521d\u3081 {displaystyle limsup _ {nrightArrow infty} {frac {p_ {n+1} -p_ {n}} {\uff08log p_ {n}\uff09^{2}}} = 1}}        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4\u3069\u3053 p n \u30c7\u30b3\u30bf n  &#8211; \u3053\u306e\u30d7\u30ea\u30e0\u756a\u53f7\u3068\u300clog\u300d\u306f\u3001\u81ea\u7136\u5bfe\u6570\u3092\u793a\u3057\u307e\u3059\u3002\u3053\u306e\u63a8\u6e2c\u306f\u307e\u3060\u5b9f\u8a3c\u3055\u308c\u3066\u304a\u3089\u305a\u3001\u53cd\u8ad6\u3055\u308c\u3066\u304a\u3089\u305a\u3001\u8fd1\u3044\u5c06\u6765\u306b\u306a\u308b\u53ef\u80fd\u6027\u306f\u4f4e\u3044\u3067\u3059\u3002\u3053\u308c\u306f\u3001\u4e3b\u8981\u306a\u6570\u5b57\u306e\u78ba\u7387\u7684\u30e2\u30c7\u30eb\uff08\u672c\u8cea\u7684\u306b\u3001\u30d2\u30e5\u30fc\u30ea\u30b9\u30c6\u30a3\u30c3\u30af\uff09\u306b\u57fa\u3065\u3044\u3066\u3044\u307e\u3059\u3002 1log\u2061x{displaystyle {tfrac {1} {log x}}} \u3002\u3053\u306e\u30e2\u30c7\u30eb\u306f\u6b21\u306e\u3088\u3046\u306b\u77e5\u3089\u308c\u3066\u3044\u307e\u3059 \u30af\u30ec\u30a4\u30de\u30fc\u306e\u30e2\u30c7\u30eb \u7d20\u6570\u306e\u3002\u305d\u3053\u304b\u3089\u3001\u63a8\u6e2c\u304c\u78ba\u73871\u3067\u771f\u3067\u3042\u308b\u3053\u3068\u3092\u5b9f\u8a3c\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 [ 2 ] \u200b        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4\u30b7\u30e3\u30f3\u30af\u30b9\u306f\u3001\u3088\u308a\u5f37\u3044\u58f0\u660e\u3067\u3042\u308b\u9023\u7d9a\u3057\u305f\u3044\u3068\u3053\u306e\u9593\u306e\u6700\u5927\u306e\u9055\u3044\u306e\u6f38\u8fd1\u7684\u5e73\u7b49\u3092\u63a8\u6e2c\u3057\u307e\u3057\u305f\u3002 [ 3 ] \u200b \u307e\u305f\u3001Cramer\u306f\u3001\u9023\u7d9a\u3057\u305f\u3044\u3068\u3053\u306e\u9055\u3044\u306b\u95a2\u3059\u308b\u5225\u306e\u63a8\u6e2c\u3092\u7b56\u5b9a\u3057\u307e\u3057\u305f\u3002 p n+1 &#8211;  p n= O\uff08 pn\u30ed\u30b0 \u2061 p n\uff09\uff09 mm\u30b9\u30ec\u30fc\u30d6\u30da\u30f3\u30d1\u30c9\u30eb &#8211;  .. \u3053\u308c\u306f\u3001\u30ea\u30fc\u30de\u30f3\u4eee\u8aac\u3092\u524d\u63d0\u3068\u3057\u3066\u3044\u308b\u3053\u3068\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4\u3055\u3089\u306b\u3001E\u3002westzynthius\u306f1931\u5e74\u306b\u305d\u308c\u3092\u5b9f\u8a3c\u3057\u307e\u3057\u305f [ 4 ] \u200b Lim Sup n\u2192\u221epn+1\u2212pnlog\u2061pn= \u221e \u3002 {displaystyle limsup _ {nto infty} {frac {p_ {n+1} -p_ {n}} {log p_ {n}}} = infty\u3002}} Table of Contents\u63a8\u6e2cura decram\u00e9r-granville [ \u7de8\u96c6\u3057\u307e\u3059 ] \u3044\u3068\u3053\u9593\u306e\u5206\u96e2\u306b\u95a2\u3059\u308b\u6761\u4ef6\u4ed8\u304d\u3067\u5b9f\u8a3c\u3055\u308c\u305f\u7d50\u679c [ \u7de8\u96c6\u3057\u307e\u3059 ] \u30d2\u30e5\u30fc\u30ea\u30b9\u30c6\u30a3\u30c3\u30af\u306a\u6b63\u5f53\u5316 [ \u7de8\u96c6\u3057\u307e\u3059 ] \u95a2\u9023\u3059\u308b\u63a8\u6e2c\u3068\u30d2\u30e5\u30fc\u30ea\u30b9\u30c6\u30a3\u30c3\u30af [ \u7de8\u96c6\u3057\u307e\u3059 ] \u53c2\u7167\u3057\u3066\u304f\u3060\u3055\u3044 [ \u7de8\u96c6\u3057\u307e\u3059 ] \u53c2\u7167 [ \u7de8\u96c6\u3057\u307e\u3059 ] \u63a8\u6e2cura decram\u00e9r-granville [ \u7de8\u96c6\u3057\u307e\u3059 ] Cramer\u306e\u63a8\u6e2c\u306f\u5f37\u3059\u304e\u308b\u304b\u3082\u3057\u308c\u307e\u305b\u3093\u3002\u30a2\u30f3\u30c9\u30ea\u30e5\u30fc\u30fb\u30b0\u30e9\u30f3\u30d3\u30eb\u306f1995\u5e74\u306b\u63a8\u6e2c\u3055\u308c\u307e\u3057\u305f [ 5 ] \u30ec\u30d9\u30eb\u304c\u3042\u308b\u3053\u3068 m {displaystyle m} \u305d\u306e\u305f\u3081 p n + \u521d\u3081  &#8211;  p n < m \uff08 \u30ed\u30b0 \u2061 p n\uff09\uff09 2 {displaystyle p_ {n+1} -p_ {n} \u2248 1.1229 &#8230; \u3002  {displaystyle m = 2e^{ &#8211;  gamma}\u7d041.1229ldots\u3002 }  \u3046\u307e\u304f\u3044\u304d\u307e\u3059 [ 6 ] \u9023\u7d9a\u3057\u305f\u3044\u3068\u3053\u306e\u9593\u3067\u591a\u304f\u306e\u5927\u304d\u306a\u9055\u3044\u3092\u8a08\u7b97\u3057\u307e\u3057\u305f\u3002 Crame\u00e9\u306e\u63a8\u6e2c\u6e2c\u5b9a\u7406\u7531\u3068\u306e\u4e92\u63db\u6027\u3092\u6e2c\u5b9a\u3057\u307e\u3057\u305f r \u30d7\u30e9\u30a4\u30e0\u756a\u53f7\u306e\u5bfe\u6570\u3068\u6b21\u306e\u9055\u3044\u306e\u5e73\u65b9\u6839\u3068\u306e\u9593\u3002 \u300c\u77e5\u3089\u308c\u3066\u3044\u308b\u6700\u5927\u306e\u6700\u5927\u5dee\u306e\u305f\u3081\u306b\u3001R\u306f\u300c\u7d041.13\u306e\u307e\u307e\u3067\u3042\u308b\u300d\u3068\u5f7c\u306f\u8a00\u3044\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u5c11\u306a\u304f\u3068\u3082\u5f7c\u304c\u89b3\u5bdf\u3057\u305f\u6570\u5b57\u306e\u4e2d\u3067\u3001\u30b0\u30e9\u30f3\u30d3\u30eb\u306e\u30af\u30ec\u30a4\u30df\u30a8\u306e\u63a8\u6e2c\u306e\u6539\u826f\u304c\u30c7\u30fc\u30bf\u306b\u9069\u3057\u3066\u3044\u308b\u3088\u3046\u306b\u898b\u3048\u308b\u3053\u3068\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002 \u3044\u3068\u3053\u9593\u306e\u5206\u96e2\u306b\u95a2\u3059\u308b\u6761\u4ef6\u4ed8\u304d\u3067\u5b9f\u8a3c\u3055\u308c\u305f\u7d50\u679c [ \u7de8\u96c6\u3057\u307e\u3059 ] Cramer\u306f\u3001\u306f\u308b\u304b\u306b\u5f31\u3044\u58f0\u660e\u306e\u6761\u4ef6\u4ed8\u304d\u8a3c\u62e0\u3092\u4e0e\u3048\u307e\u3057\u305f\u3002 p n+1 &#8211;  p n= o \uff08 pn\u30ed\u30b0 \u2061 p n\uff09\uff09 {displaystyle p_ {n+1} -p_ {n} = o\uff08{sqrt {p_ {n}}}}\u3001log p_ {n}\uff09}} \u30ea\u30fc\u30de\u30f3\u306e\u4eee\u8aac\u304c\u6e80\u305f\u3055\u308c\u305f\u5834\u5408\u3002 [ \u521d\u3081 ] \u6700\u3082\u3088\u304f\u77e5\u3089\u308c\u3066\u3044\u308b\u7121\u6761\u4ef6\u306e\u4eee\u5b9a\u306f\u3001\u305d\u308c\u3092\u793a\u3059\u3082\u306e\u3067\u3059 p n+1 &#8211;  p n= o \uff08 p n0.525\uff09\uff09 {displaystyle p_ {n+1} -p_ {n} = o\uff08p_ {n}^{0.525}\uff09} \u30d9\u30a4\u30ab\u30fc\u3001\u30cf\u30fc\u30de\u30f3\u3001\u30d4\u30f3\u30c4\u306e\u305f\u3081\u3002 [ 7 ] \u200b \u5225\u306e\u65b9\u5411\u306b\u3001E\u3002Westzynthius\u306f1931\u5e74\u306b\u3001\u3044\u3068\u3053\u306e\u9593\u306e\u5206\u96e2\u304c\u5bfe\u6570\u7684\u306b\u5897\u52a0\u3059\u308b\u3053\u3068\u3092\u5b9f\u8a3c\u3057\u305f\u3002\u3064\u307e\u308a\u3001 [ 8 ] \u200b Lim Sup n\u2192\u221epn+1\u2212pnlog\u2061pn= \u221e \u3002 {displaystyle limsup _ {nto infty} {frac {p_ {n+1} -p_ {n}} {log p_ {n}}} = infty\u3002}} \u305d\u306e\u7d50\u679c\u306f\u3001\u30ed\u30d0\u30fc\u30c8\u30fb\u30a2\u30ec\u30af\u30b5\u30f3\u30c0\u30fc\u30fb\u30e9\u30f3\u30ad\u30f3\u306b\u3088\u3063\u3066\u6539\u5584\u3055\u308c\u307e\u3057\u305f\u3001 [ 9 ] \u305d\u308c\u306f\u305d\u308c\u3092\u793a\u3057\u307e\u3057\u305f "},{"@context":"http:\/\/schema.org\/","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/#breadcrumbitem","name":"Enzyklop\u00e4die"}},{"@type":"ListItem","position":2,"item":{"@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/5865#breadcrumbitem","name":"Cram\u00e9rConjection-\u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2\u3001\u7121\u6599\u200b\u200b\u767e\u79d1\u4e8b\u5178"}}]}]