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#1
28 Á¡ÃÒ¤Á 2008, 14:23
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àŢ¡¡ÓÅѧ
ªèÇÂãËéá¹Ç¤Ô´áÅÐÇÔ¸Õ·Ó⨷Âì¢é͹Õé´éǤÃѺ
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#2
28 Á¡ÃÒ¤Á 2008, 15:29
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$30=2\cdot3\cdot5,\ 20=2^2\cdot5$ ´Ñ§¹Ñé¹ $30^{2007}$ ÁÕ 2,3,5 ÍÂÙèµÑÇÅÐ 2007 µÑÇ $20^{2000}$ ÁÕ 2 ÍÂÙè 4000 µÑÇ ÁÕ 5 ÍÂÙè 2000 µÑÇ
Êèǹá¹Ç¤Ô´ ãËé¹ÑºµÑÇ»ÃСͺ·Ñé§ËÁ´·Õè $30^{2007}$ ÁÕáµè $20^{2000}$ äÁèÁÕ àªè¹ µÑÇ»ÃСͺã¹ÃÙ» $3^n\cdot x$ ËÃ×Í $5^m\cdot x,\ 2000<m<2008$ áÅÐÍ×è¹æ ¹ÑºáµèÅÐẺä´é¡ÕèµÑÇàÍÒÁÒÃÇÁ¡Ñ¹¨Ðä´é¤ÓµÍº¤ÃѺ
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¤¹ä·ÂÃèÇÁã¨ÍÂèÒãªéÀÒÉÒÇÔºÑµÔ ½Ö¡¾ÔÁ¾ìÊÑÅѡɳìÊÑ¡¹Ô´ ªÕÇÔµ(¤¹µÍºáÅФ¹¶ÒÁ)¨Ð§èÒ¢Öé¹àÂÍÐ (¨ÃÔ§æ¹Ð) Stay Hungry. Stay Foolish. 28 Á¡ÃÒ¤Á 2008 15:30 : ¢éͤÇÒÁ¹Õé¶Ù¡á¡éä¢áÅéÇ 1 ¤ÃÑé§, ¤ÃÑé§ÅèÒÊØ´â´Â¤Ø³ nongtum à˵ؼÅ: ¾ÔÁ¾ì¼Ô´
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#3
28 Á¡ÃÒ¤Á 2008, 17:19
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....
¹Õéà»ç¹¢éÍÊͺÊÔÃÔ¹·Ã¹Õè
¼Á¤Ô´¢é͹Õéä´éà»ç¹ ÅéÒ¹  ÍéÒ§ÍÔ§:
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#4
29 Á¡ÃÒ¤Á 2008, 06:22
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µÑÇ»ÃСͺã¹ÃÙ» $3^{n}.x ËÃ×Í $5^{m}.x , 2000 < m < 2008 ¹ÑºÂѧ䧤ÃѺ ¤Ø³ Nongtum ªèÇÂá¹Ð¹Ó˹èͤÃѺ
29 Á¡ÃÒ¤Á 2008 06:24 : ¢éͤÇÒÁ¹Õé¶Ù¡á¡éä¢áÅéÇ 1 ¤ÃÑé§, ¤ÃÑé§ÅèÒÊØ´â´Â¤Ø³ ¨ÍÁÂØ·¸áË觺éҹ˹ͧà¢é à˵ؼÅ: ¾ÔÁ¾ìµ¡
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#5
29 Á¡ÃÒ¤Á 2008, 10:58
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¨Ó¹Ç¹ã¹ÃÙ» $3^n\cdot x$ àªè¹ $3^1\cdot 2,\ 3^2\cdot 2,\dots ,\ 3^{2007}\cdot 2,3^1\cdot 2^2,\ 3^1\cdot 2^2,\dots$
¨Ó¹Ç¹ã¹ÃÙ» $5^{m}\cdot x,\ 2000 < m < 2008,\ m$ à»ç¹¨Ó¹Ç¹àµçÁ¡ç·ÓẺà´ÕÂǡѹ¤ÃѺ ¹ÑºäÅèẺ¹Õéä»àÃ×èÍÂæ ÍÒ¨µéͧãªéá¼¹ÀÒ¾àǹ¹ìªèǵ͹¤Ó¹Ç³¤ÓµÍºÊØ´·éÒ´éǹФÃѺ (¼ÁÂѧäÁèä´é·´ËҤӵͺ¹Ð¤ÃѺ)
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¤¹ä·ÂÃèÇÁã¨ÍÂèÒãªéÀÒÉÒÇÔºÑµÔ ½Ö¡¾ÔÁ¾ìÊÑÅѡɳìÊÑ¡¹Ô´ ªÕÇÔµ(¤¹µÍºáÅФ¹¶ÒÁ)¨Ð§èÒ¢Öé¹àÂÍÐ (¨ÃÔ§æ¹Ð) Stay Hungry. Stay Foolish. 30 Á¡ÃÒ¤Á 2008 21:48 : ¢éͤÇÒÁ¹Õé¶Ù¡á¡éä¢áÅéÇ 1 ¤ÃÑé§, ¤ÃÑé§ÅèÒÊØ´â´Â¤Ø³ nongtum
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#7
30 Á¡ÃÒ¤Á 2008, 21:44
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ÍéÒ§ÍÔ§:
à¹×èͧ¨Ò¡ $20^{2000}$ = $5^{2000}.2^{2000}$ áÅÐ $30^{2007}$ = $3^{2007}.5^{2007}.2^{2007}$ ´Ñ§¹Ñ鹨ÐÁÕµÑÇ»ÃСͺ·ÕèÊÍ´¤Åéͧ¡Ñºà§×è͹ä¢ÍÂÙèà¾Õ§ 2 ÃٻẺ ¤×Í 1. ÃٻẺ·ÕèÁÕàÅ¢ 3 à»ç¹µÑÇ»ÃСͺ --> ÊÒÁÒö¨Ñ´ÃÙ»ä´éà»ç¹ $3^{1...2007}.5^{0...2007}.2^{0...2007}$ ÁÕ·Ñé§ËÁ´ $2007x2008x2008$ = ..... ¨Ó¹Ç¹ 2. ÃٻẺ·ÕèäÁèÁÕàÅ¢ 3 à»ç¹µÑÇ»ÃСͺ --> ÊÒÁÒö¨Ñ´ÃÙ»ä´éà»ç¹ $5^{2001...2007}.2^{0...2007}$ ÁÕ·Ñé§ËÁ´ $7x2008$ = ..... ¨Ó¹Ç¹ ¡ÃسҺǡ¡Ñ¹àͧ¹Ð¤ÃѺ 
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