ã·ã§ã«ãã³ã¹ãã¼æ°ï¼ã·ã§ã«ãã³ã¹ãã¼ãããSierpinski numberï¼ã¨ã¯ãå ¨ã¦ã®èªç¶æ° n ã«å¯¾ã㦠k à 2n + 1 ãåææ°ï¼ç´ æ°ã§ã¯ãªã 2 以ä¸ã®æ´æ°ï¼ã¨ãªããããªæ£ã®å¥æ° k ã®ãã¨ã§ããã è¨ãæããã¨ãk ãã·ã§ã«ãã³ã¹ãã¼æ°ãªãã°æ¬¡ã®éåã®å ã¯å ¨ã¦åææ°ã¨ãªãã 1960å¹´ã«ããã¼ã©ã³ãã®æ°å¦è ã´ã¡ãã¯ãã»ã·ã§ã«ãã³ã¹ã (Waclaw Sierpinski, 1882â1969) ã¯ãå ¨ã¦ã® n ã«ã¤ã㦠k à 2n + 1 ã決ãã¦ç´ æ°ã¨ãªããªãæ£ã®å¥æ° k ãç¡éã«ãããã¨ã証æããã 1962å¹´ã«ãã¸ã§ã³ã»ã»ã«ããªã㸠(John Selfridge) 㯠78557 ãã·ã§ã«ãã³ã¹ãã¼æ°ã§ãããã¨ã示ãããã¤ã¾ããSn = 78557 à 2n + 1 ã¯å¸¸ã«åææ°ã¨ãªãããªããªãã°ãç°¡åãªè°è«ã«ãã£ã¦ Sn 㯠3, 5, 7, 13, 19,
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