ð ã³ã©ããäºæ³ã·ãŒã±ã³ã¹å¯èŠå
ä»»æã®æ£ã®æŽæ°ããã¹ã¿ãŒããããå¶æ°ãªã2ã§å²ãã奿°ãªã3åããŠ1ãè¶³ããã1ã«ãªããŸã§ç¹°ãè¿ãã³ã©ããäºæ³(3n+1åé¡)ã®ã·ãŒã±ã³ã¹ãèšç®ããå€ã®æšç§»ãã°ã©ãã§å¯èŠåããããŒã«ã§ããã©ããªæ£ã®æŽæ°ããå§ããŠãæçµçã«1ã«å°éãããšããæªè§£æ±ºã®æ°åŠäºæ³ãšããŠç¥ãããŠããŸãã
äœ¿ãæ¹
- éå§ããæ£ã®æŽæ°ãå ¥åããŸãã
- 1ã«å°éãããŸã§ã®ã·ãŒã±ã³ã¹ãšãã¹ãããæ°ã»æå€§å°éå€ãèªåèšç®ãããŸãã
- ã°ã©ãã§å€ã®æšç§»(ä¹±é«äžããæ§å)ã確èªã§ããŸãã
ãããã質å
ã³ã©ããäºæ³ãšã¯äœã§ãã?
ã©ããªæ£ã®æŽæ°ããå§ããŠãããå¶æ°ãªã2ã§å²ãã奿°ãªã3åããŠ1ãè¶³ãããç¹°ãè¿ããšå¿ ã1ã«å°éãããšããæ°åŠã®æªè§£æ±ºäºæ³ã§ããæå±è ããŒã¿ãŒã»ã³ã©ããã«ã¡ãªãã§åä»ããããŸããã
æ¬åœã«ãã¹ãŠã®æ°ã§1ã«å°éããŸãã?
ã³ã³ãã¥ãŒã¿ãŒã«ããæ€èšŒã§ã¯éåžžã«å€§ããªæ°ãŸã§1ã«å°éããããšã確èªãããŠããŸããããã¹ãŠã®æ£ã®æŽæ°ã«ã€ããŠèšŒæãããããã§ã¯ãªããæ°åŠäžã®æªè§£æ±ºåé¡ã§ãã
27ããå§ãããšã©ããªããŸãã?
27ã¯æ¯èŒçå°ããæ°ãªãã111ã¹ããããããããéäžã§9232ãŸã§å°éãããé·ãã·ãŒã±ã³ã¹ã®ä»£è¡šäŸãšããŠç¥ãããŠããŸãã