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@ @@Hßìÿaö§aI@†a‡Èÿa@óî‹Åä@

3!× 5! × 7!            5( )                     [MAC10A 2005] ( )
                                              4( ) 3()
         6( )             a2 +b2 = c2
                                                   [MAӨ 2005] ( )
                  cba

36 ( )                29 ( )                        (c + b ) (c −b )

                50 n                          21 ( ) 17 ( )           )
                                                                (

         15 ( )        13 ( )                     4     7 ()
                                                            ()
                  80         n                9( )

                                                     9

         9( )          3( )                   2( )      1 ()

                                p+2 p                          ()

         40 19                                          .

      899 ( )          713 ( )         621 ( ) 437 ( )

         27 n                                                  ()

                                                        2n +1

          6( )         5( )                   4( )      3 ()
                        ()
A −B     BA                                   [AMC10B 2002] ( )

           :                    . A+B

      3                                                    ()

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