Integer Solutions
of
a1h
+ a2h + a3h
+ a4h = b1h
+ b2h + b3h
+ b4h
( h = 1, 2, 3, 5 )
- A.Golden [5]
gave solutions of this type by starting with the non-symmetric
solutions of the system ( k = 1, 2, 3 ) .
- [ -38, -13, 0, 51 ] = [ -33, -24, 7, 50 ]
- The following solutions are obtained by using
Golden's method.
- [ -33, -7, 1, 39 ] = [ -27, -21, 11, 37 ]
- [ -21, -3, 1, 23 ] = [ -17, -13, 9, 21 ]
- [ -29, -11, 7, 33 ] = [ -23, -21, 13, 31 ]
- [ -63, -35, 29, 69 ] = [ -51, -51, 37, 65 ]
- G.Xeroudakes and A.Moessner gave a parameter
solution of this type in 1958. [17]
- The following solution chain is obtained by Chen Shuwen.
- [ -197, -23, -11, 231 ] = [ -179, -93, 49, 223 ] = [ -149, -137, 69,
217 ]
Last revised March,31, 2001.
Copyright 1997-2001, Chen Shuwen