Page 63 - Numbertheory

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248 −1 :( )

248 −1 = (224 −1)(224 +1)
= (212 −1) (212 + 1) (224 + 1)
= (26 −1) (26 +1)(212 +1) (224 +1)
= 63× 65 (212 +1) (224 +1)

. 65 63

13511 [AHSME 1970] ( )

.r m 14589 13903
108 ( )
98 ( ) m 28 ( )
ba
49 ( )

r :( ) c
.m
a = q1m + r q1
b = q2m + r q3 q2
c = q3m + r

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