Non-negative Integer
Solutions of
a1k
+ a2k + a3k+
a4k+ a5k+
a6k = b1k
+ b2k + b3k
+ b4k + b5k
+ b6k
( k = 1, 2, 3, 5,
7 )
- Non-negative integer solution of this type is
first obtained by Chen Shuwen in 1999.
- [ 87, 233, 264, 396, 496, 540 ] = [ 90, 206,
309, 366, 522, 523 ]
- It take a Pentium-100MHz PC running about 12
hours.
- Program language: Visual Basic 5.0
- By computer search, Chen Shuwen obtained the following new solutions in
2023.
- [ 9, 73, 79, 207, 211, 257 ] = [ 19, 39, 113, 177, 241, 247 ]
(Smallest solution)
- [ 11, 69, 165, 295, 299, 381 ] = [ 29, 39, 201, 241, 335, 375 ]
- [ 31, 97, 197, 347, 413, 469 ] = [ 53, 61, 227, 317, 439, 457 ]
- [ 141, 211, 249, 363, 407, 503 ] = [ 155, 175, 305, 315, 423, 501 ]
- [ 13, 141, 187, 443, 459, 561 ] = [ 43, 67, 261, 369, 531, 533 ]
Last revised Apr,16, 2023.
Copyright 1997-2023, Chen Shuwen