Non-negative Integer
Solutions of
a1k
+ a2k + a3k+
a4k+ a5k+
a6k+ a7k
= b1k + b2k
+ b3k + b4k
+ b5k + b6k
+ b7k
( k = 1, 2, 3, 4,
5, 7 )
- Chen Shuwen obtained a method for solving this
system in 1995. He found two non-negative integer solutions by his method,
with the help of a 80386SX/33 PC.
- [ 4727, 4972, 5267, 5857, 5972, 6557, 6667 ]
= [ 4772, 4867 , 5477, 5567, 6172, 6457, 6707 ]
- [ 1091, 4226, 4397, 10553, 11579, 17279, 20414
] = [ 1889, 2003 , 7589, 7646, 12947, 16994, 20471 ]
- The following results are obtained in 1999 by
Chen Shuwen, using a Pentium 100 PC.
- [ 43, 169, 295, 607, 667, 1105, 1189 ] = [ 79,
97, 379, 505, 727, 1093, 1195 ]
- [535, 656, 809, 1099, 1168, 1451, 1513] = [ 560,
601, 919, 953, 1264, 1403, 1531 ]
Last revised March,31, 2001.
Copyright 1997-2001, Chen Shuwen