Page 64 - Numbertheory

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a −b = (q1 − q2)m
a −c = (q1 − q3)m
b −c = (q2 − q3)m
b −c a −c a −b

(a −b ) − (a −c ) + (b −c ) = 0

.
.

c = 14589 b = 13511 a = 13903
13903 −13511 = 392
14589 −13903 = 686

686 = 1× 392 + 294

392 = 1× 294 + 98

294 = 3× 98 + 0

. m = gcd(392,686) = 98

3 45678 ( ) [BritishJMC 1997] ( )
3456 ( ) 234 ( )
567890 ( )

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