三角数不定方程的通解公式的验证

ysr

x=1  y=0  z=1
x=2  y=2  z=3
x=3  y=5  z=6
x=4  y=9  z=10
x=5  y=14  z=15
x=6  y=20  z=21
x=7  y=27  z=28
x=8  y=35  z=36
x=9  y=44  z=45
x=10  y=54  z=55
x=11  y=65  z=66
x=12  y=77  z=78
x=13  y=90  z=91
x=14  y=104  z=105
x=15  y=119  z=120
x=16  y=135  z=136
x=17  y=152  z=153
x=18  y=170  z=171
x=19  y=189  z=190
x=20  y=209  z=210
x=21  y=230  z=231
x=22  y=252  z=253
x=23  y=275  z=276
x=24  y=299  z=300
x=25  y=324  z=325
x=26  y=350  z=351
x=27  y=377  z=378
x=28  y=405  z=406
x=29  y=434  z=435
x=30  y=464  z=465
x=31  y=495  z=496
x=32  y=527  z=528
x=33  y=560  z=561
x=34  y=594  z=595
x=35  y=629  z=630
x=36  y=665  z=666
x=37  y=702  z=703
x=38  y=740  z=741
x=39  y=779  z=780
x=40  y=819  z=820
x=41  y=860  z=861
x=42  y=902  z=903
x=43  y=945  z=946
x=44  y=989  z=990
x=45  y=1034  z=1035
x=46  y=1080  z=1081
x=47  y=1127  z=1128
x=48  y=1175  z=1176
x=49  y=1224  z=1225
x=50  y=1274  z=1275

ysr

b=x(x+1),c=y(y+1),d=z(z+1)则有如下程序结果：（输入100）
b=6  c=6   b+c=d=12
b=12  c=30   b+c=d=42
b=20  c=90   b+c=d=110
b=30  c=42   b+c=d=72
b=30  c=210   b+c=d=240
b=42  c=90   b+c=d=132
b=42  c=420   b+c=d=462
b=56  c=756   b+c=d=812
b=72  c=110   b+c=d=182
b=72  c=1260   b+c=d=1332
b=90  c=182   b+c=d=272
b=90  c=462   b+c=d=552
b=90  c=1980   b+c=d=2070
b=110  c=702   b+c=d=812
b=110  c=2970   b+c=d=3080
b=132  c=210   b+c=d=342
b=132  c=420   b+c=d=552
b=132  c=4290   b+c=d=4422
b=156  c=306   b+c=d=462
b=156  c=600   b+c=d=756
b=156  c=6006   b+c=d=6162
b=182  c=1980   b+c=d=2162
b=182  c=8190   b+c=d=8372
b=210  c=342   b+c=d=552
b=210  c=1122   b+c=d=1332
b=210  c=2652   b+c=d=2862
b=240  c=462   b+c=d=702
b=240  c=1482   b+c=d=1722
b=306  c=506   b+c=d=812
b=306  c=2450   b+c=d=2756
b=306  c=5700   b+c=d=6006
b=342  c=650   b+c=d=992
b=342  c=3080   b+c=d=3422
b=342  c=7140   b+c=d=7482
b=380  c=1260   b+c=d=1640
b=380  c=2070   b+c=d=2450
b=420  c=702   b+c=d=1122
b=420  c=1560   b+c=d=1980
b=420  c=2550   b+c=d=2970
b=420  c=4692   b+c=d=5112
b=462  c=870   b+c=d=1332
b=462  c=1260   b+c=d=1722
b=462  c=5700   b+c=d=6162
b=552  c=930   b+c=d=1482
b=552  c=8190   b+c=d=8742
b=600  c=1122   b+c=d=1722
b=600  c=3306   b+c=d=3906
b=650  c=756   b+c=d=1406
b=650  c=3906   b+c=d=4556
b=702  c=1190   b+c=d=1892
b=702  c=3080   b+c=d=3782
b=756  c=1406   b+c=d=2162
b=756  c=2550   b+c=d=3306
b=756  c=8556   b+c=d=9312
b=812  c=2970   b+c=d=3782
b=870  c=1482   b+c=d=2352
b=870  c=4830   b+c=d=5700
b=870  c=7140   b+c=d=8010
b=930  c=1722   b+c=d=2652
b=930  c=5550   b+c=d=6480
b=930  c=8190   b+c=d=9120
b=1056  c=1806   b+c=d=2862
b=1122  c=2070   b+c=d=3192
b=1122  c=8190   b+c=d=9312
b=1190  c=1260   b+c=d=2450
b=1190  c=2970   b+c=d=4160
b=1190  c=6642   b+c=d=7832
b=1260  c=2162   b+c=d=3422
b=1260  c=4290   b+c=d=5550
b=1260  c=7482   b+c=d=8742
b=1332  c=2450   b+c=d=3782
b=1332  c=4830   b+c=d=6162
b=1482  c=2550   b+c=d=4032
b=1560  c=1980   b+c=d=3540
b=1560  c=2862   b+c=d=4422
b=1722  c=2970   b+c=d=4692

ysr

输入100的方程的解：
x=2  y=2   z=3
x=3  y=5   z=6
x=4  y=9   z=10
x=5  y=3   z=6
x=5  y=6   z=8
x=5  y=14   z=15
x=6  y=5   z=8
x=6  y=9   z=11
x=6  y=20   z=21
x=7  y=27   z=28
x=8  y=10   z=13
x=8  y=35   z=36
x=9  y=4   z=10
x=9  y=6   z=11
x=9  y=13   z=16
x=9  y=21   z=23
x=9  y=44   z=45
x=10  y=8   z=13
x=10  y=26   z=28
x=10  y=54   z=55
x=11  y=14   z=18
x=11  y=20   z=23
x=11  y=65   z=66
x=12  y=17   z=21
x=12  y=24   z=27
x=12  y=77   z=78
x=13  y=9   z=16
x=13  y=44   z=46
x=13  y=90   z=91
x=14  y=5   z=15
x=14  y=11   z=18
x=14  y=14   z=20
x=14  y=18   z=23
x=14  y=33   z=36
x=14  y=51   z=53
x=15  y=21   z=26
x=15  y=38   z=41
x=17  y=12   z=21
x=17  y=22   z=28
x=17  y=49   z=52
x=17  y=75   z=77
x=18  y=14   z=23
x=18  y=25   z=31
x=18  y=55   z=58
x=18  y=84   z=86
x=19  y=35   z=40
x=19  y=45   z=49
x=20  y=6   z=21
x=20  y=11   z=23
x=20  y=26   z=33
x=20  y=39   z=44
x=20  y=50   z=54
x=20  y=68   z=71
x=21  y=9   z=23
x=21  y=15   z=26
x=21  y=29   z=36
x=21  y=35   z=41
x=21  y=75   z=78
x=22  y=17   z=28
x=23  y=30   z=38
x=23  y=90   z=93
x=24  y=12   z=27
x=24  y=33   z=41
x=24  y=57   z=62
x=25  y=18   z=31
x=25  y=27   z=37
x=25  y=62   z=67
x=26  y=10   z=28
x=26  y=20   z=33
x=26  y=34   z=43
x=26  y=55   z=61
x=27  y=7   z=28
x=27  y=25   z=37
x=27  y=37   z=46
x=27  y=50   z=57
x=27  y=92   z=96
x=28  y=54   z=61
x=29  y=21   z=36
x=29  y=38   z=48
x=29  y=69   z=75
x=29  y=84   z=89
x=30  y=23   z=38
x=30  y=41   z=51
x=30  y=74   z=80
x=30  y=90   z=95
x=32  y=42   z=53
x=33  y=14   z=36
x=33  y=24   z=41
x=33  y=45   z=56
x=33  y=90   z=96
x=34  y=26   z=43
x=34  y=35   z=49
x=34  y=54   z=64
x=34  y=81   z=88
x=35  y=8   z=36
x=35  y=19   z=40
x=35  y=21   z=41
x=35  y=34   z=49
x=35  y=46   z=58
x=35  y=65   z=74
x=35  y=86   z=93
x=36  y=49   z=61
x=36  y=69   z=78
x=37  y=27   z=46
x=38  y=15   z=41
x=38  y=29   z=48
x=38  y=50   z=63
x=39  y=20   z=44
x=39  y=44   z=59
x=39  y=53   z=66
x=41  y=30   z=51
x=41  y=54   z=68
x=42  y=32   z=53
x=42  y=57   z=71
x=43  y=80   z=91
x=44  y=9   z=45
x=44  y=13   z=46
x=44  y=39   z=59
x=44  y=58   z=73
x=44  y=76   z=88
x=44  y=84   z=95
x=45  y=19   z=49
x=45  y=33   z=56
x=45  y=48   z=66
x=45  y=61   z=76
x=46  y=35   z=58
x=47  y=62   z=78
x=48  y=45   z=66
x=48  y=65   z=81
x=49  y=17   z=52
x=49  y=36   z=61
x=49  y=80   z=94
x=50  y=20   z=54
x=50  y=27   z=57
x=50  y=38   z=63
x=50  y=66   z=83
x=50  y=77   z=92
x=51  y=14   z=53
x=51  y=69   z=86
x=53  y=39   z=66
x=53  y=70   z=88
x=54  y=10   z=55
x=54  y=28   z=61
x=54  y=34   z=64
x=54  y=41   z=68
x=54  y=56   z=78
x=54  y=73   z=91
x=55  y=18   z=58
x=55  y=26   z=61
x=56  y=54   z=78
x=56  y=65   z=86
x=56  y=74   z=93
x=57  y=24   z=62
x=57  y=42   z=71
x=57  y=77   z=96
x=58  y=44   z=73
x=59  y=78   z=98
x=61  y=45   z=76
x=62  y=25   z=67
x=62  y=47   z=78
x=65  y=11   z=66
x=65  y=35   z=74
x=65  y=48   z=81
x=65  y=56   z=86
x=65  y=69   z=95
x=66  y=50   z=83
x=68  y=20   z=71
x=69  y=29   z=75
x=69  y=36   z=78
x=69  y=51   z=86
x=69  y=65   z=95
x=70  y=53   z=88
x=73  y=54   z=91
x=74  y=30   z=80
x=74  y=56   z=93
x=75  y=17   z=77
x=75  y=21   z=78
x=76  y=44   z=88
x=77  y=12   z=78
x=77  y=50   z=92
x=77  y=57   z=96
x=78  y=59   z=98
x=80  y=43   z=91
x=80  y=49   z=94
x=81  y=34   z=88
x=84  y=18   z=86
x=84  y=29   z=89
x=84  y=44   z=95
x=86  y=35   z=93
x=90  y=13   z=91
x=90  y=23   z=93
x=90  y=30   z=95
x=90  y=33   z=96
x=92  y=27   z=96

ysr

代码如下：
Private Sub Command1_Click()
Dim a, x, y, z
a = Val(Text1)
x = 1
Do While x <= a
y = 1
Do While y <= a
z = 1
Do While z <= a
b = x * (x + 1)
c = y * (y + 1)
d = z * (z + 1)

If d = Val(b + c) Then
s = s & "x=" & x & "  y=" & y & "   z=" & z & vbCrLf
s1 = s1 + 1
Else
s = s
End If

z = z + 1
Loop

y = y + 1
Loop
x = x + 1
Loop
If s1 > 1 Then
Text2 = s
Else
Text2 = "wu  jie"
End If



End Sub

Private Sub Command2_Click()
Text1 = ""
Text2 = ""

End Sub

ysr

输入50的结果：x=2  y=2  z=3
x=3  y=5  z=6
x=4  y=9  z=10
x=5  y=14  z=15
x=6  y=20  z=21
x=7  y=27  z=28
x=8  y=35  z=36
x=9  y=44  z=45
x=10  y=54  z=55
x=11  y=65  z=66
x=12  y=77  z=78
x=13  y=90  z=91
x=14  y=104  z=105
x=15  y=119  z=120
x=16  y=135  z=136
x=17  y=152  z=153
x=18  y=170  z=171
x=19  y=189  z=190
x=20  y=209  z=210
x=21  y=230  z=231
x=22  y=252  z=253
x=23  y=275  z=276
x=24  y=299  z=300
x=25  y=324  z=325
x=26  y=350  z=351
x=27  y=377  z=378
x=28  y=405  z=406
x=29  y=434  z=435
x=30  y=464  z=465
x=31  y=495  z=496
x=32  y=527  z=528
x=33  y=560  z=561
x=34  y=594  z=595
x=35  y=629  z=630
x=36  y=665  z=666
x=37  y=702  z=703
x=38  y=740  z=741
x=39  y=779  z=780
x=40  y=819  z=820
x=41  y=860  z=861
x=42  y=902  z=903
x=43  y=945  z=946
x=44  y=989  z=990
x=45  y=1034  z=1035
x=46  y=1080  z=1081
x=47  y=1127  z=1128
x=48  y=1175  z=1176
x=49  y=1224  z=1225
x=50  y=1274  z=1275
x=5  y=6  z=8
x=6  y=9  z=11
x=9  y=21  z=23
x=10  y=26  z=28
x=13  y=44  z=46
x=14  y=51  z=53
x=17  y=75  z=77
x=18  y=84  z=86
x=21  y=114  z=116
x=22  y=125  z=127
x=25  y=161  z=163
x=26  y=174  z=176
x=29  y=216  z=218
x=30  y=231  z=233
x=33  y=279  z=281
x=34  y=296  z=298
x=37  y=350  z=352
x=38  y=369  z=371
x=41  y=429  z=431
x=42  y=450  z=452
x=45  y=516  z=518
x=46  y=539  z=541
x=49  y=611  z=613
x=50  y=636  z=638
x=5  y=3  z=6
x=6  y=5  z=8
x=8  y=10  z=13
x=9  y=13  z=16
x=11  y=20  z=23
x=12  y=24  z=27
x=14  y=33  z=36
x=15  y=38  z=41
x=17  y=49  z=52
x=18  y=55  z=58
x=20  y=68  z=71
x=21  y=75  z=78
x=23  y=90  z=93
x=24  y=98  z=101
x=26  y=115  z=118
x=27  y=124  z=127
x=29  y=143  z=146
x=30  y=153  z=156
x=32  y=174  z=177
x=33  y=185  z=188
x=35  y=208  z=211
x=36  y=220  z=223
x=38  y=245  z=248
x=39  y=258  z=261
x=41  y=285  z=288
x=42  y=299  z=302
x=44  y=328  z=331
x=45  y=343  z=346
x=47  y=374  z=377
x=48  y=390  z=393
x=50  y=423  z=426

50   ×   51   +   423   ×   424   -   426   ×   427 =0

ysr

x=2  y=2  z=3 m1=1
x=3  y=5  z=6 m1=1
x=4  y=9  z=10 m1=1
x=5  y=14  z=15 m1=1
x=6  y=20  z=21 m1=1
x=7  y=27  z=28 m1=1
x=8  y=35  z=36 m1=1
x=9  y=44  z=45 m1=1
x=10  y=54  z=55 m1=1
x=11  y=65  z=66 m1=1
x=12  y=77  z=78 m1=1
x=13  y=90  z=91 m1=1
x=14  y=104  z=105 m1=1
x=15  y=119  z=120 m1=1
x=16  y=135  z=136 m1=1
x=17  y=152  z=153 m1=1
x=18  y=170  z=171 m1=1
x=19  y=189  z=190 m1=1
x=20  y=209  z=210 m1=1
x=21  y=230  z=231 m1=1
x=22  y=252  z=253 m1=1
x=23  y=275  z=276 m1=1
x=24  y=299  z=300 m1=1
x=25  y=324  z=325 m1=1
x=26  y=350  z=351 m1=1
x=27  y=377  z=378 m1=1
x=28  y=405  z=406 m1=1
x=29  y=434  z=435 m1=1
x=30  y=464  z=465 m1=1
x=31  y=495  z=496 m1=1
x=32  y=527  z=528 m1=1
x=33  y=560  z=561 m1=1
x=34  y=594  z=595 m1=1
x=35  y=629  z=630 m1=1
x=36  y=665  z=666 m1=1
x=37  y=702  z=703 m1=1
x=38  y=740  z=741 m1=1
x=39  y=779  z=780 m1=1
x=40  y=819  z=820 m1=1
x=41  y=860  z=861 m1=1
x=42  y=902  z=903 m1=1
x=43  y=945  z=946 m1=1
x=44  y=989  z=990 m1=1
x=45  y=1034  z=1035 m1=1
x=46  y=1080  z=1081 m1=1
x=47  y=1127  z=1128 m1=1
x=48  y=1175  z=1176 m1=1
x=49  y=1224  z=1225 m1=1
x=50  y=1274  z=1275 m1=1
x=5  y=6  z=8 m1=2
x=6  y=9  z=11 m1=2
x=9  y=21  z=23 m1=2
x=10  y=26  z=28 m1=2
x=13  y=44  z=46 m1=2
x=14  y=51  z=53 m1=2
x=17  y=75  z=77 m1=2
x=18  y=84  z=86 m1=2
x=21  y=114  z=116 m1=2
x=22  y=125  z=127 m1=2
x=25  y=161  z=163 m1=2
x=26  y=174  z=176 m1=2
x=29  y=216  z=218 m1=2
x=30  y=231  z=233 m1=2
x=33  y=279  z=281 m1=2
x=34  y=296  z=298 m1=2
x=37  y=350  z=352 m1=2
x=38  y=369  z=371 m1=2
x=41  y=429  z=431 m1=2
x=42  y=450  z=452 m1=2
x=45  y=516  z=518 m1=2
x=46  y=539  z=541 m1=2
x=49  y=611  z=613 m1=2
x=50  y=636  z=638 m1=2
x=5  y=3  z=6 m1=3
x=6  y=5  z=8 m1=3
x=8  y=10  z=13 m1=3
x=9  y=13  z=16 m1=3
x=11  y=20  z=23 m1=3
x=12  y=24  z=27 m1=3
x=14  y=33  z=36 m1=3
x=15  y=38  z=41 m1=3
x=17  y=49  z=52 m1=3
x=18  y=55  z=58 m1=3
x=20  y=68  z=71 m1=3
x=21  y=75  z=78 m1=3
x=23  y=90  z=93 m1=3
x=24  y=98  z=101 m1=3
x=26  y=115  z=118 m1=3
x=27  y=124  z=127 m1=3
x=29  y=143  z=146 m1=3
x=30  y=153  z=156 m1=3
x=32  y=174  z=177 m1=3
x=33  y=185  z=188 m1=3
x=35  y=208  z=211 m1=3
x=36  y=220  z=223 m1=3
x=38  y=245  z=248 m1=3
x=39  y=258  z=261 m1=3
x=41  y=285  z=288 m1=3
x=42  y=299  z=302 m1=3
x=44  y=328  z=331 m1=3
x=45  y=343  z=346 m1=3
x=47  y=374  z=377 m1=3
x=48  y=390  z=393 m1=3
x=50  y=423  z=426 m1=3
x=5  y=6  z=8 m1=2
x=6  y=9  z=11 m1=2
x=9  y=21  z=23 m1=2
x=10  y=26  z=28 m1=2
x=11  y=14  z=18 m1=4
x=12  y=17  z=21 m1=4
x=13  y=44  z=46 m1=2
x=14  y=51  z=53 m1=2
x=17  y=75  z=77 m1=2
x=18  y=84  z=86 m1=2
x=19  y=45  z=49 m1=4
x=20  y=50  z=54 m1=4
x=21  y=114  z=116 m1=2
x=22  y=125  z=127 m1=2
x=25  y=161  z=163 m1=2
x=26  y=174  z=176 m1=2
x=27  y=92  z=96 m1=4
x=28  y=99  z=103 m1=4
x=29  y=216  z=218 m1=2
x=30  y=231  z=233 m1=2
x=33  y=279  z=281 m1=2
x=34  y=296  z=298 m1=2
x=35  y=155  z=159 m1=4
x=36  y=164  z=168 m1=4
x=37  y=350  z=352 m1=2
x=38  y=369  z=371 m1=2
x=41  y=429  z=431 m1=2
x=42  y=450  z=452 m1=2
x=43  y=234  z=238 m1=4
x=44  y=245  z=249 m1=4
x=45  y=516  z=518 m1=2
x=46  y=539  z=541 m1=2
x=49  y=611  z=613 m1=2
x=50  y=636  z=638 m1=2
x=9  y=6  z=11 m1=5
x=10  y=8  z=13 m1=5
x=14  y=18  z=23 m1=5
x=15  y=21  z=26 m1=5
x=19  y=35  z=40 m1=5
x=20  y=39  z=44 m1=5
x=24  y=57  z=62 m1=5
x=25  y=62  z=67 m1=5
x=29  y=84  z=89 m1=5
x=30  y=90  z=95 m1=5
x=34  y=116  z=121 m1=5
x=35  y=123  z=128 m1=5
x=39  y=153  z=158 m1=5
x=40  y=161  z=166 m1=5
x=44  y=195  z=200 m1=5
x=45  y=204  z=209 m1=5
x=49  y=242  z=247 m1=5
x=50  y=252  z=257 m1=5
x=9  y=4  z=10 m1=6
x=10  y=26  z=28 m1=2
x=13  y=44  z=46 m1=2
x=14  y=14  z=20 m1=6
x=17  y=22  z=28 m1=6
x=18  y=25  z=31 m1=6
x=21  y=35  z=41 m1=6
x=22  y=125  z=127 m1=2
x=25  y=161  z=163 m1=2
x=26  y=55  z=61 m1=6
x=29  y=69  z=75 m1=6
x=30  y=74  z=80 m1=6
x=33  y=90  z=96 m1=6
x=34  y=296  z=298 m1=2
x=37  y=350  z=352 m1=2
x=38  y=120  z=126 m1=6
x=41  y=140  z=146 m1=6
x=42  y=147  z=153 m1=6
x=45  y=169  z=175 m1=6
x=46  y=539  z=541 m1=2
x=49  y=611  z=613 m1=2
x=50  y=209  z=215 m1=6
x=13  y=9  z=16 m1=7
x=14  y=11  z=18 m1=7
x=20  y=26  z=33 m1=7
x=21  y=29  z=36 m1=7
x=27  y=50  z=57 m1=7
x=28  y=54  z=61 m1=7
x=34  y=81  z=88 m1=7
x=35  y=86  z=93 m1=7
x=41  y=119  z=126 m1=7
x=42  y=125  z=132 m1=7
x=48  y=164  z=171 m1=7
x=49  y=171  z=178 m1=7
x=5  y=6  z=8 m1=2
x=6  y=9  z=11 m1=2
x=9  y=21  z=23 m1=2
x=10  y=26  z=28 m1=2
x=11  y=14  z=18 m1=4
x=12  y=17  z=21 m1=4
x=13  y=44  z=46 m1=2
x=14  y=51  z=53 m1=2
x=17  y=75  z=77 m1=2
x=18  y=84  z=86 m1=2
x=19  y=45  z=49 m1=4
x=20  y=50  z=54 m1=4
x=21  y=114  z=116 m1=2
x=22  y=125  z=127 m1=2
x=23  y=30  z=38 m1=8
x=24  y=33  z=41 m1=8
x=25  y=161  z=163 m1=2
x=26  y=174  z=176 m1=2
x=27  y=92  z=96 m1=4
x=28  y=99  z=103 m1=4
x=29  y=216  z=218 m1=2
x=30  y=231  z=233 m1=2
x=33  y=279  z=281 m1=2
x=34  y=296  z=298 m1=2
x=35  y=155  z=159 m1=4
x=36  y=164  z=168 m1=4
x=37  y=350  z=352 m1=2
x=38  y=369  z=371 m1=2
x=39  y=93  z=101 m1=8
x=40  y=98  z=106 m1=8
x=41  y=429  z=431 m1=2
x=42  y=450  z=452 m1=2
x=43  y=234  z=238 m1=4
x=44  y=245  z=249 m1=4
x=45  y=516  z=518 m1=2
x=46  y=539  z=541 m1=2
x=49  y=611  z=613 m1=2
x=50  y=636  z=638 m1=2
x=5  y=3  z=6 m1=3
x=6  y=5  z=8 m1=3
x=11  y=20  z=23 m1=3
x=12  y=24  z=27 m1=3
x=14  y=33  z=36 m1=3
x=15  y=38  z=41 m1=3
x=17  y=12  z=21 m1=9
x=18  y=14  z=23 m1=9
x=20  y=68  z=71 m1=3
x=21  y=75  z=78 m1=3
x=23  y=90  z=93 m1=3
x=24  y=98  z=101 m1=3
x=26  y=34  z=43 m1=9
x=27  y=37  z=46 m1=9
x=29  y=143  z=146 m1=3
x=30  y=153  z=156 m1=3
x=32  y=174  z=177 m1=3
x=33  y=185  z=188 m1=3
x=35  y=65  z=74 m1=9
x=36  y=69  z=78 m1=9
x=38  y=245  z=248 m1=3
x=39  y=258  z=261 m1=3
x=41  y=285  z=288 m1=3
x=42  y=299  z=302 m1=3
x=44  y=105  z=114 m1=9
x=45  y=110  z=119 m1=9
x=47  y=374  z=377 m1=3
x=48  y=390  z=393 m1=3
x=50  y=423  z=426 m1=3
x=6  y=9  z=11 m1=2
x=13  y=44  z=46 m1=2
x=14  y=5  z=15 m1=10
x=17  y=75  z=77 m1=2
x=18  y=84  z=86 m1=2
x=21  y=114  z=116 m1=2
x=22  y=125  z=127 m1=2
x=25  y=27  z=37 m1=10
x=26  y=174  z=176 m1=2
x=29  y=38  z=48 m1=10
x=30  y=41  z=51 m1=10
x=33  y=279  z=281 m1=2
x=34  y=54  z=64 m1=10
x=37  y=350  z=352 m1=2
x=38  y=369  z=371 m1=2
x=41  y=429  z=431 m1=2
x=42  y=450  z=452 m1=2
x=45  y=98  z=108 m1=10
x=46  y=539  z=541 m1=2
x=49  y=117  z=127 m1=10
x=50  y=122  z=132 m1=10
x=21  y=15  z=26 m1=11
x=22  y=17  z=28 m1=11
x=32  y=42  z=53 m1=11
x=33  y=45  z=56 m1=11
x=43  y=80  z=91 m1=11
x=44  y=84  z=95 m1=11
x=9  y=4  z=10 m1=6
x=10  y=26  z=28 m1=2
x=13  y=44  z=46 m1=2
x=14  y=14  z=20 m1=6
x=17  y=22  z=28 m1=6
x=18  y=25  z=31 m1=6
x=19  y=45  z=49 m1=4
x=20  y=11  z=23 m1=12
x=21  y=35  z=41 m1=6
x=22  y=125  z=127 m1=2
x=25  y=161  z=163 m1=2
x=26  y=55  z=61 m1=6
x=27  y=25  z=37 m1=12
x=28  y=99  z=103 m1=4
x=29  y=69  z=75 m1=6
x=30  y=74  z=80 m1=6
x=33  y=90  z=96 m1=6
x=34  y=296  z=298 m1=2
x=35  y=46  z=58 m1=12
x=36  y=49  z=61 m1=12
x=37  y=350  z=352 m1=2
x=38  y=120  z=126 m1=6
x=41  y=140  z=146 m1=6
x=42  y=147  z=153 m1=6
x=43  y=234  z=238 m1=4
x=44  y=76  z=88 m1=12
x=45  y=169  z=175 m1=6
x=46  y=539  z=541 m1=2
x=49  y=611  z=613 m1=2
x=50  y=209  z=215 m1=6
x=25  y=18  z=31 m1=13
x=26  y=20  z=33 m1=13
x=38  y=50  z=63 m1=13
x=39  y=53  z=66 m1=13
x=5  y=6  z=8 m1=2
x=9  y=21  z=23 m1=2
x=10  y=26  z=28 m1=2
x=17  y=75  z=77 m1=2
x=18  y=84  z=86 m1=2
x=21  y=9  z=23 m1=14
x=22  y=125  z=127 m1=2
x=25  y=161  z=163 m1=2
x=26  y=174  z=176 m1=2
x=29  y=216  z=218 m1=2
x=30  y=231  z=233 m1=2
x=33  y=279  z=281 m1=2
x=34  y=35  z=49 m1=14
x=37  y=350  z=352 m1=2
x=38  y=369  z=371 m1=2
x=41  y=54  z=68 m1=14
x=42  y=57  z=71 m1=14
x=45  y=516  z=518 m1=2
x=46  y=539  z=541 m1=2
x=49  y=80  z=94 m1=14
x=50  y=636  z=638 m1=2
x=6  y=5  z=8 m1=3
x=8  y=10  z=13 m1=3
x=10  y=8  z=13 m1=5
x=11  y=20  z=23 m1=3
x=12  y=24  z=27 m1=3
x=17  y=49  z=52 m1=3
x=18  y=55  z=58 m1=3
x=19  y=35  z=40 m1=5
x=20  y=6  z=21 m1=15
x=21  y=75  z=78 m1=3
x=23  y=90  z=93 m1=3
x=24  y=12  z=27 m1=15
x=25  y=62  z=67 m1=5
x=26  y=115  z=118 m1=3
x=27  y=124  z=127 m1=3
x=29  y=21  z=36 m1=15
x=30  y=23  z=38 m1=15
x=32  y=174  z=177 m1=3
x=33  y=185  z=188 m1=3
x=34  y=116  z=121 m1=5
x=35  y=34  z=49 m1=15
x=36  y=220  z=223 m1=3
x=38  y=245  z=248 m1=3
x=39  y=44  z=59 m1=15
x=40  y=161  z=166 m1=5
x=41  y=285  z=288 m1=3
x=42  y=299  z=302 m1=3
x=44  y=58  z=73 m1=15
x=45  y=61  z=76 m1=15
x=47  y=374  z=377 m1=3
x=48  y=390  z=393 m1=3
x=49  y=242  z=247 m1=5
x=50  y=77  z=92 m1=15
x=5  y=6  z=8 m1=2
x=6  y=9  z=11 m1=2
x=9  y=21  z=23 m1=2
x=10  y=26  z=28 m1=2
x=11  y=14  z=18 m1=4
x=12  y=17  z=21 m1=4
x=13  y=44  z=46 m1=2
x=14  y=51  z=53 m1=2
x=17  y=75  z=77 m1=2
x=18  y=84  z=86 m1=2
x=19  y=45  z=49 m1=4
x=20  y=50  z=54 m1=4
x=21  y=114  z=116 m1=2
x=22  y=125  z=127 m1=2
x=23  y=30  z=38 m1=8
x=24  y=33  z=41 m1=8
x=25  y=161  z=163 m1=2
x=26  y=174  z=176 m1=2
x=27  y=92  z=96 m1=4
x=28  y=99  z=103 m1=4
x=29  y=216  z=218 m1=2
x=30  y=231  z=233 m1=2
x=33  y=279  z=281 m1=2
x=34  y=296  z=298 m1=2
x=35  y=155  z=159 m1=4
x=36  y=164  z=168 m1=4
x=37  y=350  z=352 m1=2
x=38  y=369  z=371 m1=2
x=39  y=93  z=101 m1=8
x=40  y=98  z=106 m1=8
x=41  y=429  z=431 m1=2
x=42  y=450  z=452 m1=2
x=43  y=234  z=238 m1=4
x=44  y=245  z=249 m1=4
x=45  y=516  z=518 m1=2
x=46  y=539  z=541 m1=2
x=47  y=62  z=78 m1=16
x=48  y=65  z=81 m1=16
x=49  y=611  z=613 m1=2
x=50  y=636  z=638 m1=2
x=33  y=24  z=41 m1=17
x=34  y=26  z=43 m1=17
x=50  y=66  z=83 m1=17
x=10  y=26  z=28 m1=2
x=13  y=44  z=46 m1=2
x=14  y=14  z=20 m1=6
x=21  y=35  z=41 m1=6
x=22  y=125  z=127 m1=2
x=25  y=161  z=163 m1=2
x=26  y=10  z=28 m1=18
x=29  y=69  z=75 m1=6
x=30  y=74  z=80 m1=6
x=33  y=90  z=96 m1=6
x=34  y=296  z=298 m1=2
x=37  y=350  z=352 m1=2
x=38  y=120  z=126 m1=6
x=41  y=140  z=146 m1=6
x=42  y=147  z=153 m1=6
x=45  y=48  z=66 m1=18
x=46  y=539  z=541 m1=2
x=49  y=611  z=613 m1=2
x=50  y=209  z=215 m1=6
x=37  y=27  z=46 m1=19
x=38  y=29  z=48 m1=19
x=6  y=9  z=11 m1=2
x=11  y=14  z=18 m1=4
x=12  y=17  z=21 m1=4
x=13  y=44  z=46 m1=2
x=14  y=5  z=15 m1=10
x=17  y=75  z=77 m1=2
x=18  y=84  z=86 m1=2
x=21  y=114  z=116 m1=2
x=22  y=125  z=127 m1=2
x=25  y=27  z=37 m1=10
x=26  y=174  z=176 m1=2
x=27  y=92  z=96 m1=4
x=28  y=99  z=103 m1=4
x=29  y=38  z=48 m1=10
x=30  y=41  z=51 m1=10
x=33  y=279  z=281 m1=2
x=34  y=54  z=64 m1=10
x=35  y=21  z=41 m1=20
x=36  y=164  z=168 m1=4
x=37  y=350  z=352 m1=2
x=38  y=369  z=371 m1=2
x=41  y=429  z=431 m1=2
x=42  y=450  z=452 m1=2
x=43  y=234  z=238 m1=4
x=44  y=39  z=59 m1=20
x=45  y=98  z=108 m1=10
x=46  y=539  z=541 m1=2
x=49  y=117  z=127 m1=10
x=50  y=122  z=132 m1=10
x=5  y=3  z=6 m1=3
x=8  y=10  z=13 m1=3
x=9  y=13  z=16 m1=3
x=11  y=20  z=23 m1=3
x=12  y=24  z=27 m1=3
x=13  y=9  z=16 m1=7
x=15  y=38  z=41 m1=3
x=17  y=49  z=52 m1=3
x=18  y=55  z=58 m1=3
x=23  y=90  z=93 m1=3
x=24  y=98  z=101 m1=3
x=26  y=115  z=118 m1=3
x=27  y=7  z=28 m1=21
x=28  y=54  z=61 m1=7
x=29  y=143  z=146 m1=3
x=30  y=153  z=156 m1=3
x=32  y=174  z=177 m1=3
x=33  y=185  z=188 m1=3
x=34  y=81  z=88 m1=7
x=35  y=19  z=40 m1=21
x=36  y=220  z=223 m1=3
x=38  y=245  z=248 m1=3
x=39  y=258  z=261 m1=3
x=41  y=30  z=51 m1=21
x=42  y=32  z=53 m1=21
x=44  y=328  z=331 m1=3
x=45  y=343  z=346 m1=3
x=47  y=374  z=377 m1=3
x=48  y=45  z=66 m1=21
x=49  y=171  z=178 m1=7
x=50  y=423  z=426 m1=3
x=5  y=6  z=8 m1=2
x=6  y=9  z=11 m1=2
x=9  y=21  z=23 m1=2
x=13  y=44  z=46 m1=2
x=14  y=51  z=53 m1=2
x=17  y=75  z=77 m1=2
x=18  y=84  z=86 m1=2
x=25  y=161  z=163 m1=2
x=26  y=174  z=176 m1=2
x=29  y=216  z=218 m1=2
x=30  y=231  z=233 m1=2
x=33  y=14  z=36 m1=22
x=34  y=296  z=298 m1=2
x=37  y=350  z=352 m1=2
x=38  y=369  z=371 m1=2
x=41  y=429  z=431 m1=2
x=42  y=450  z=452 m1=2
x=45  y=516  z=518 m1=2
x=46  y=539  z=541 m1=2
x=49  y=611  z=613 m1=2
x=50  y=636  z=638 m1=2
x=45  y=33  z=56 m1=23
x=46  y=35  z=58 m1=23
x=9  y=4  z=10 m1=6
x=10  y=26  z=28 m1=2
x=13  y=44  z=46 m1=2
x=14  y=14  z=20 m1=6
x=17  y=22  z=28 m1=6
x=18  y=25  z=31 m1=6
x=19  y=45  z=49 m1=4
x=20  y=11  z=23 m1=12
x=21  y=35  z=41 m1=6
x=22  y=125  z=127 m1=2
x=25  y=161  z=163 m1=2
x=26  y=55  z=61 m1=6
x=27  y=25  z=37 m1=12
x=28  y=99  z=103 m1=4
x=29  y=69  z=75 m1=6
x=30  y=74  z=80 m1=6
x=33  y=90  z=96 m1=6
x=34  y=296  z=298 m1=2
x=35  y=46  z=58 m1=12
x=36  y=49  z=61 m1=12
x=37  y=350  z=352 m1=2
x=38  y=120  z=126 m1=6
x=39  y=20  z=44 m1=24
x=40  y=98  z=106 m1=8
x=41  y=140  z=146 m1=6
x=42  y=147  z=153 m1=6
x=43  y=234  z=238 m1=4
x=44  y=76  z=88 m1=12
x=45  y=169  z=175 m1=6
x=46  y=539  z=541 m1=2
x=49  y=611  z=613 m1=2
x=50  y=209  z=215 m1=6
x=9  y=6  z=11 m1=5
x=10  y=8  z=13 m1=5
x=14  y=18  z=23 m1=5
x=15  y=21  z=26 m1=5
x=19  y=35  z=40 m1=5
x=20  y=39  z=44 m1=5
x=29  y=84  z=89 m1=5
x=30  y=90  z=95 m1=5
x=34  y=116  z=121 m1=5
x=35  y=123  z=128 m1=5
x=39  y=153  z=158 m1=5
x=40  y=161  z=166 m1=5
x=44  y=195  z=200 m1=5
x=45  y=204  z=209 m1=5
x=49  y=36  z=61 m1=25
x=50  y=38  z=63 m1=25
x=5  y=6  z=8 m1=2
x=6  y=9  z=11 m1=2
x=9  y=21  z=23 m1=2
x=10  y=26  z=28 m1=2
x=14  y=51  z=53 m1=2
x=17  y=75  z=77 m1=2
x=18  y=84  z=86 m1=2
x=21  y=114  z=116 m1=2
x=22  y=125  z=127 m1=2
x=29  y=216  z=218 m1=2
x=30  y=231  z=233 m1=2
x=33  y=279  z=281 m1=2
x=34  y=296  z=298 m1=2
x=37  y=350  z=352 m1=2
x=38  y=15  z=41 m1=26
x=41  y=429  z=431 m1=2
x=42  y=450  z=452 m1=2
x=45  y=516  z=518 m1=2
x=46  y=539  z=541 m1=2
x=49  y=611  z=613 m1=2
x=50  y=636  z=638 m1=2
x=5  y=3  z=6 m1=3
x=6  y=5  z=8 m1=3
x=11  y=20  z=23 m1=3
x=12  y=24  z=27 m1=3
x=14  y=33  z=36 m1=3
x=15  y=38  z=41 m1=3
x=17  y=12  z=21 m1=9
x=18  y=14  z=23 m1=9
…………
x=18  y=25  z=31 m1=6
x=19  y=45  z=49 m1=4
x=20  y=11  z=23 m1=12
x=21  y=35  z=41 m1=6
x=22  y=125  z=127 m1=2
x=25  y=161  z=163 m1=2
x=26  y=55  z=61 m1=6
x=27  y=25  z=37 m1=12
x=28  y=99  z=103 m1=4
x=29  y=69  z=75 m1=6
x=30  y=74  z=80 m1=6
x=33  y=90  z=96 m1=6
x=34  y=296  z=298 m1=2
x=35  y=46  z=58 m1=12
x=36  y=49  z=61 m1=12
x=37  y=350  z=352 m1=2
x=38  y=120  z=126 m1=6
x=39  y=20  z=44 m1=24
x=40  y=98  z=106 m1=8
x=41  y=140  z=146 m1=6
x=42  y=147  z=153 m1=6
x=43  y=234  z=238 m1=4
x=44  y=76  z=88 m1=12
x=45  y=169  z=175 m1=6
x=46  y=539  z=541 m1=2
x=49  y=611  z=613 m1=2
x=50  y=209  z=215 m1=6
x=13  y=9  z=16 m1=7
x=14  y=11  z=18 m1=7
x=20  y=26  z=33 m1=7
x=21  y=29  z=36 m1=7
x=27  y=50  z=57 m1=7
x=28  y=54  z=61 m1=7
x=34  y=81  z=88 m1=7
x=35  y=86  z=93 m1=7
x=41  y=119  z=126 m1=7
x=42  y=125  z=132 m1=7
x=6  y=9  z=11 m1=2
x=13  y=44  z=46 m1=2
x=14  y=5  z=15 m1=10
x=17  y=75  z=77 m1=2
x=18  y=84  z=86 m1=2
x=21  y=114  z=116 m1=2
x=22  y=125  z=127 m1=2
x=26  y=174  z=176 m1=2
x=29  y=38  z=48 m1=10
x=30  y=41  z=51 m1=10
x=33  y=279  z=281 m1=2
x=34  y=54  z=64 m1=10
x=37  y=350  z=352 m1=2
x=38  y=369  z=371 m1=2
x=41  y=429  z=431 m1=2
x=42  y=450  z=452 m1=2
x=45  y=98  z=108 m1=10
x=46  y=539  z=541 m1=2

46   ×   47   +   539   ×   540   -   541   ×   542 =0
这个公式得到的解是全体解，没有增根。

ysr

代码如下：

Private Sub Command1_Click()
'代码为全体解，存一下吧
Dim p, q, x, y, z
A = Val(Text1)
m = 1
Do While Val(m) <= A
n = 1
Do While n <= A
x = n
js1 = n ^ 2 + n
js = zzxc(Val(js1), Val(m))
If js = 1 Then
m1 = m
js = 2 * m
Else
m1 = js
js = Val(js) * 2
End If

y = (-m1 ^ 2 - m1 + n ^ 2 + n) / js
z = y + m1
If y > 0 And z > 0 And InStr(y, ".") = 0 And InStr(z, ".") = 0 Then
s2 = s2 + 1
s1 = s1 & "x=" & x & "  y=" & y & "  z=" & z & " m1=" & m1 & vbCrLf
Else
s2 = s2
End If

n = n + 1
Loop
m = m + 1
Loop

If Val(s2) > 0 Then
Text2 = s1
Else
Text2 = "wu   jie"
End If


End Sub

Private Sub Command2_Click()
Text1 = ""
Text2 = ""
End Sub

Private Function zzxc(sa As String, sb As String) As String
Dim A, B, c, d, r
  A = Trim(sa)
  B = Trim(sb)
  
  If Val(A) > Val(B) Then
     c = A
     d = B
  Else
     c = B
     d = A
  End If
Do Until Val(c) Mod Val(d) = 0
     r = c Mod d
     c = d
     d = r
  Loop
  
  

  
  zzxc = d
  
End Function

ysr

公式：x = n，y = (-m1 ^ 2 - m1 + n ^ 2 + n) / js
z = y + m1，其中m1为连续数m与n ^ 2 + n 的公共因子，当二者互质的时候m1=m，js = 2 * m1

其中的整数解就是原方程的解

Treenewbee

[2, [2, 2, 3]]
[3, [3, 5, 6]]
[4, [4, 9, 10]]
[5, [5, 14, 15], [5, 6, 8]]
[6, [6, 20, 21], [6, 9, 11]]
[7, [7, 27, 28]]
[8, [8, 35, 36], [8, 10, 13]]
[9, [9, 44, 45], [9, 21, 23], [9, 13, 16]]
[10, [10, 54, 55], [10, 26, 28]]
[11, [11, 65, 66], [11, 20, 23], [11, 14, 18]]
[12, [12, 77, 78], [12, 24, 27], [12, 17, 21]]
[13, [13, 90, 91], [13, 44, 46]]
[14, [14, 104, 105], [14, 51, 53], [14, 33, 36], [14, 18, 23], [14, 14, 20]]
[15, [15, 119, 120], [15, 38, 41], [15, 21, 26]]
[16, [16, 135, 136]]
[17, [17, 152, 153], [17, 75, 77], [17, 49, 52], [17, 22, 28]]
[18, [18, 170, 171], [18, 84, 86], [18, 55, 58], [18, 25, 31]]
[19, [19, 189, 190], [19, 45, 49], [19, 35, 40]]
[20, [20, 209, 210], [20, 68, 71], [20, 50, 54], [20, 39, 44], [20, 26, 33]]
[21, [21, 230, 231], [21, 114, 116], [21, 75, 78], [21, 35, 41], [21, 29, 36]]
[22, [22, 252, 253], [22, 125, 127]]
[23, [23, 275, 276], [23, 90, 93], [23, 30, 38]]
[24, [24, 299, 300], [24, 98, 101], [24, 57, 62], [24, 33, 41]]
[25, [25, 324, 325], [25, 161, 163], [25, 62, 67], [25, 27, 37]]
[26, [26, 350, 351], [26, 174, 176], [26, 115, 118], [26, 55, 61], [26, 34, 43]]
[27, [27, 377, 378], [27, 124, 127], [27, 92, 96], [27, 50, 57], [27, 37, 46]]
[28, [28, 405, 406], [28, 99, 103], [28, 54, 61]]
[29, [29, 434, 435], [29, 216, 218], [29, 143, 146], [29, 84, 89], [29, 69, 75], [29, 38, 48]]
[30, [30, 464, 465], [30, 231, 233], [30, 153, 156], [30, 90, 95], [30, 74, 80], [30, 41, 51]]
[31, [31, 495, 496]]
[32, [32, 527, 528], [32, 174, 177], [32, 42, 53]]
[33, [33, 560, 561], [33, 279, 281], [33, 185, 188], [33, 90, 96], [33, 45, 56]]
[34, [34, 594, 595], [34, 296, 298], [34, 116, 121], [34, 81, 88], [34, 54, 64], [34, 35, 49]]
[35, [35, 629, 630], [35, 208, 211], [35, 155, 159], [35, 123, 128], [35, 86, 93], [35, 65, 74], [35, 46, 58]]
[36, [36, 665, 666], [36, 220, 223], [36, 164, 168], [36, 69, 78], [36, 49, 61]]
[37, [37, 702, 703], [37, 350, 352]]
[38, [38, 740, 741], [38, 369, 371], [38, 245, 248], [38, 120, 126], [38, 50, 63]]
[39, [39, 779, 780], [39, 258, 261], [39, 153, 158], [39, 93, 101], [39, 53, 66], [39, 44, 59]]
[40, [40, 819, 820], [40, 161, 166], [40, 98, 106]]
[41, [41, 860, 861], [41, 429, 431], [41, 285, 288], [41, 140, 146], [41, 119, 126], [41, 54, 68]]
[42, [42, 902, 903], [42, 450, 452], [42, 299, 302], [42, 147, 153], [42, 125, 132], [42, 57, 71]]
[43, [43, 945, 946], [43, 234, 238], [43, 80, 91]]
[44, [44, 989, 990], [44, 328, 331], [44, 245, 249], [44, 195, 200], [44, 105, 114], [44, 84, 95], [44, 76, 88], [44, 58, 73]]
[45, [45, 1034, 1035], [45, 516, 518], [45, 343, 346], [45, 204, 209], [45, 169, 175], [45, 110, 119], [45, 98, 108], [45, 61, 76], [45, 48, 66]]
[46, [46, 1080, 1081], [46, 539, 541]]
[47, [47, 1127, 1128], [47, 374, 377], [47, 62, 78]]
[48, [48, 1175, 1176], [48, 390, 393], [48, 164, 171], [48, 65, 81]]
[49, [49, 1224, 1225], [49, 611, 613], [49, 242, 247], [49, 171, 178], [49, 117, 127], [49, 80, 94]]
[50, [50, 1274, 1275], [50, 636, 638], [50, 423, 426], [50, 252, 257], [50, 209, 215], [50, 122, 132], [50, 77, 92], [50, 66, 83]]
[51, [51, 1325, 1326], [51, 440, 443], [51, 329, 333], [51, 104, 116], [51, 95, 108], [51, 69, 86]]
[52, [52, 1377, 1378], [52, 342, 346], [52, 99, 112]]
[53, [53, 1430, 1431], [53, 714, 716], [53, 475, 478], [53, 235, 241], [53, 154, 163], [53, 70, 88]]
[54, [54, 1484, 1485], [54, 741, 743], [54, 493, 496], [54, 294, 299], [54, 244, 250], [54, 160, 169], [54, 143, 153], [54, 129, 140], [54, 91, 106], [54, 73, 91], [54, 56, 78]]
[55, [55, 1539, 1540], [55, 305, 310], [55, 216, 223], [55, 188, 196], [55, 134, 145]]
[56, [56, 1595, 1596], [56, 530, 533], [56, 224, 231], [56, 195, 203], [56, 74, 93], [56, 65, 86]]
[57, [57, 1652, 1653], [57, 825, 827], [57, 549, 552], [57, 272, 278], [57, 77, 96]]
[58, [58, 1710, 1711], [58, 854, 856]]
[59, [59, 1769, 1770], [59, 588, 591], [59, 440, 444], [59, 351, 356], [59, 141, 153], [59, 110, 125], [59, 78, 98]]
[60, [60, 1829, 1830], [60, 608, 611], [60, 455, 459], [60, 363, 368], [60, 146, 158], [60, 114, 129], [60, 81, 101]]
[61, [61, 1890, 1891], [61, 944, 946]]
[62, [62, 1952, 1953], [62, 975, 977], [62, 649, 652], [62, 322, 328], [62, 275, 282], [62, 212, 221], [62, 132, 146], [62, 99, 117], [62, 82, 103]]
[63, [63, 2015, 2016], [63, 670, 673], [63, 284, 291], [63, 219, 228], [63, 85, 106]]
[64, [64, 2079, 2080], [64, 413, 418], [64, 153, 166]]
[65, [65, 2144, 2145], [65, 1071, 1073], [65, 713, 716], [65, 426, 431], [65, 354, 360], [65, 209, 219], [65, 189, 200], [65, 158, 171], [65, 135, 150], [65, 86, 108], [65, 69, 95]]
[66, [66, 2210, 2211], [66, 1104, 1106], [66, 735, 738], [66, 365, 371], [66, 195, 206], [66, 89, 111]]
[67, [67, 2277, 2278], [67, 567, 571], [67, 125, 142]]
[68, [68, 2345, 2346], [68, 780, 783], [68, 584, 588], [68, 189, 201], [68, 129, 146], [68, 90, 113]]
[69, [69, 2414, 2415], [69, 1206, 1208], [69, 803, 806], [69, 480, 485], [69, 399, 405], [69, 341, 348], [69, 236, 246], [69, 165, 179], [69, 153, 168], [69, 104, 125], [69, 93, 116]]
[70, [70, 2484, 2485], [70, 1241, 1243], [70, 494, 499], [70, 351, 358], [70, 243, 253], [70, 170, 184]]
[71, [71, 2555, 2556], [71, 850, 853], [71, 315, 323], [71, 279, 288], [71, 94, 118]]
[72, [72, 2627, 2628], [72, 874, 877], [72, 324, 332], [72, 287, 296], [72, 97, 121]]
[73, [73, 2700, 2701], [73, 1349, 1351]]
[74, [74, 2774, 2775], [74, 1386, 1388], [74, 923, 926], [74, 552, 557], [74, 459, 465], [74, 272, 282], [74, 177, 192], [74, 98, 123], [74, 77, 107]]
[75, [75, 2849, 2850], [75, 948, 951], [75, 710, 714], [75, 567, 572], [75, 231, 243], [75, 182, 197], [75, 140, 159], [75, 132, 152], [75, 101, 126]]
[76, [76, 2925, 2926], [76, 729, 733], [76, 414, 421], [76, 260, 271], [76, 144, 163], [76, 90, 118]]
[77, [77, 3002, 3003], [77, 1500, 1502], [77, 999, 1002], [77, 497, 503], [77, 425, 432], [77, 267, 278], [77, 224, 237], [77, 207, 221], [77, 132, 153], [77, 125, 147], [77, 102, 128]]
[78, [78, 3080, 3081], [78, 1539, 1541], [78, 1025, 1028], [78, 510, 516], [78, 230, 243], [78, 105, 131]]
[79, [79, 3159, 3160], [79, 629, 634], [79, 189, 205]]
[80, [80, 3239, 3240], [80, 1078, 1081], [80, 645, 650], [80, 355, 364], [80, 208, 223], [80, 194, 210], [80, 106, 133]]
[81, [81, 3320, 3321], [81, 1659, 1661], [81, 1105, 1108], [81, 550, 556], [81, 364, 373], [81, 175, 193], [81, 109, 136]]
[82, [82, 3402, 3403], [82, 1700, 1702]]
[83, [83, 3485, 3486], [83, 1160, 1163], [83, 869, 873], [83, 494, 501], [83, 284, 296], [83, 155, 176], [83, 110, 138]]
[84, [84, 3569, 3570], [84, 1188, 1191], [84, 890, 894], [84, 711, 716], [84, 506, 513], [84, 291, 303], [84, 230, 245], [84, 201, 218], [84, 168, 188], [84, 159, 180], [84, 113, 141], [84, 84, 119]]
[85, [85, 3654, 3655], [85, 1826, 1828], [85, 728, 733], [85, 360, 370], [85, 206, 223], [85, 90, 124]]
[86, [86, 3740, 3741], [86, 1869, 1871], [86, 1245, 1248], [86, 620, 626], [86, 114, 143]]
[87, [87, 3827, 3828], [87, 1274, 1277], [87, 474, 482], [87, 342, 353], [87, 147, 171], [87, 117, 146], [87, 99, 132]]
[88, [88, 3915, 3916], [88, 485, 493], [88, 350, 361]]
[89, [89, 4004, 4005], [89, 2001, 2003], [89, 1333, 1336], [89, 798, 803], [89, 664, 670], [89, 440, 449], [89, 395, 405], [89, 259, 274], [89, 213, 231], [89, 118, 148]]
[90, [90, 4094, 4095], [90, 2046, 2048], [90, 1363, 1366], [90, 816, 821], [90, 679, 685], [90, 581, 588], [90, 450, 459], [90, 404, 414], [90, 308, 321], [90, 285, 299], [90, 265, 280], [90, 218, 236], [90, 184, 205], [90, 144, 170], [90, 121, 151], [90, 99, 134]]
[91, [91, 4185, 4186], [91, 1044, 1048], [91, 594, 601], [91, 315, 328], [91, 170, 193], [91, 135, 163]]
[92, [92, 4277, 4278], [92, 1424, 1427], [92, 1067, 1071], [92, 350, 362], [92, 174, 197], [92, 122, 153]]
[93, [93, 4370, 4371], [93, 2184, 2186], [93, 1455, 1458], [93, 725, 731], [93, 125, 156]]
[94, [94, 4464, 4465], [94, 2231, 2233], [94, 890, 895], [94, 441, 451], [94, 225, 244], [94, 98, 136]]
[95, [95, 4559, 4560], [95, 1518, 1521], [95, 909, 914], [95, 296, 311], [95, 230, 249], [95, 126, 158]]
[96, [96, 4655, 4656], [96, 1550, 1553], [96, 129, 161]]
[97, [97, 4752, 4753], [97, 2375, 2377], [97, 675, 682], [97, 332, 346]]
[98, [98, 4850, 4851], [98, 2424, 2426], [98, 1615, 1618], [98, 805, 811], [98, 689, 696], [98, 534, 543], [98, 435, 446], [98, 339, 353], [98, 260, 278], [98, 220, 241], [98, 209, 231], [98, 130, 163]]
[99, [99, 4949, 4950], [99, 1648, 1651], [99, 1235, 1239], [99, 987, 992], [99, 545, 554], [99, 444, 455], [99, 406, 418], [99, 322, 337], [99, 237, 257], [99, 185, 210], [99, 133, 166], [99, 119, 155]]
[100, [100, 5049, 5050], [100, 1260, 1264], [100, 1007, 1012], [100, 242, 262], [100, 189, 214]]

Treenewbee

x=1000

{{1000,134,1009},{1000,323,1051},{1000,342,1057},{1000,504,1120},{1000,702,1222},{1000,872,1327},{1000,917,1357},{1000,1107,1492},{1000,1377,1702},{1000,1647,1927},{1000,1682,1957},{1000,2402,2602},{1000,2772,2947},{1000,3428,3571},{1000,3941,4066},{1000,4760,4864},{1000,5454,5545},{1000,5643,5731},{1000,6461,6538},{1000,7667,7732},{1000,8909,8965},{1000,9072,9127},{1000,12492,12532},{1000,14282,14317},{1000,20007,20032},{1000,38493,38506},{1000,45494,45505},{1000,62558,62566},{1000,71496,71503},{1000,100097,100102},{1000,500499,500500}}