Page 37 - Numbertheory
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18 ( ) : 198 252 6( ) 3 () ()
9( ) ()
a + b = 500 ba () ()
. gcd(a,b ) = 7 ()
.a gcd(a, a +1) = 1 ( ) ()
.a gcd(a, a − 2) = 1 ( ) ()
2 (a2 + a) ( )
.a
: gcd(6k + 5, 7k + 6) k
6() 5( ) 2( ) 1 ()
500 < n < 2000 n
21 ( ) 23 ( ) 72 ( ) : 21
1323 ( ) : 13 101 95 ( )
1319 ( ) 1317 ( ) 1313 ( )
gcd(a, b ) = 1
7 2() 3 2( ) a −b a +b
2 1( ) 3 1()
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