Le microscope numérique
La résonance des multiples de 2 et d'un premier
Nous trouvons ici un extrait d'un bloc de la table R10000 triée par résonnance croissante (requête Resonance_Triee) où apparaissent en jaune les nombres de forme 2*P. Se mélangent à eux d'autres nombres dans l'ordre du tri des résonances, ayant d'autres décompositions notées d'une autre couleur. La colonne "Somme" correspond à la somme de toutes les périodes dans toutes les bases et la colonne "Carré de n-1" correspond au maximum théorique possible pour cette somme. Lorsqu'un diviseur commun existe pour ces deux valeurs, elles sont divisées d'autant (réduction de la fraction). On peut constater que les nombres de forme 2*P sont de moins en moins nombreux au fur et à mesure que la résonance croît.
Nombre
|
Décomposition
|
Somme
|
Carré de n-1
|
Résonance
|
9998
|
2x4999
|
74945011
|
99940009
|
0,333511166
|
9986
|
2x4993
|
14953037
|
19940045
|
0,33351138
|
9974
|
2x4987
|
74585575
|
99460729
|
0,333511594
|
9946
|
2x4973
|
2966693
|
3956121
|
0,333512096
|
9938
|
2x4969
|
74048041
|
98743969
|
0,33351224
|
9934
|
2x4967
|
73988435
|
98664489
|
0,333512312
|
9914
|
2x4957
|
73690765
|
98267569
|
0,333512673
|
9902
|
2x4951
|
73512451
|
98029801
|
0,33351289
|
9886
|
2x4943
|
14655007
|
19542645
|
0,333513181
|
9874
|
2x4937
|
73097225
|
97476129
|
0,333513399
|
9866
|
2x4933
|
14595761
|
19463645
|
0,333513545
|
9862
|
2x4931
|
72919631
|
97239321
|
0,333513619
|
9838
|
2x4919
|
72565091
|
96766569
|
0,333514058
|
9818
|
2x4909
|
72270301
|
96373489
|
0,333514427
|
9806
|
2x4903
|
14418743
|
19227605
|
0,333514648
|
9778
|
2x4889
|
71682521
|
95589729
|
0,333515168
|
9754
|
2x4877
|
71331005
|
95121009
|
0,333515615
|
9742
|
2x4871
|
71155571
|
94887081
|
0,33351584
|
9722
|
2x4861
|
70863661
|
94497841
|
0,333516215
|
9662
|
2x4831
|
69991531
|
93334921
|
0,333517351
|
9634
|
2x4817
|
69586385
|
92794689
|
0,333517886
|
9626
|
2x4813
|
13894169
|
18528125
|
0,333518039
|
9602
|
2x4801
|
69124801
|
92179201
|
0,333518501
|
9598
|
2x4799
|
69067211
|
92102409
|
0,333518578
|
9586
|
2x4793
|
13778917
|
18374445
|
0,33351881
|
9578
|
2x4789
|
68779621
|
91718929
|
0,333518965
|
9574
|
2x4787
|
68722175
|
91642329
|
0,333519042
|
9566
|
2x4783
|
13721471
|
18297845
|
0,333519198
|
9518
|
2x4759
|
67920451
|
90573289
|
0,333520135
|
9502
|
2x4751
|
67692251
|
90269001
|
0,33352045
|
9466
|
2x4733
|
13436041
|
17917245
|
0,333521161
|
9458
|
2x4729
|
67066681
|
89434849
|
0,33352132
|
9446
|
2x4723
|
2675863
|
3568321
|
0,333521559
|
9442
|
2x4721
|
66839921
|
89132481
|
0,333521639
|
9417
|
3x43x73
|
7061
|
9416
|
0,333522164
|
9406
|
2x4703
|
13266223
|
17690805
|
0,33352236
|
9382
|
2x4691
|
65992991
|
88003161
|
0,333522843
|
9358
|
2x4679
|
65655731
|
87553449
|
0,333523329
|
9346
|
2x4673
|
2619497
|
3493161
|
0,333523573
|
9326
|
2x4663
|
13041479
|
17391125
|
0,333523981
|
9314
|
2x4657
|
65039665
|
86731969
|
0,333524227
|
9302
|
2x4651
|
64872151
|
86508601
|
0,333524473
|
9298
|
2x4649
|
64816361
|
86434209
|
0,333524556
|
9286
|
2x4643
|
12929827
|
17242245
|
0,333524803
|
9278
|
2x4639
|
64537771
|
86062729
|
0,333524968
|
9274
|
2x4637
|
64482125
|
85988529
|
0,333525051
|
9242
|
2x4621
|
64037821
|
85396081
|
0,333525714
|
9206
|
2x4603
|
12707963
|
16946405
|
0,333526467
|
9194
|
2x4597
|
63374245
|
84511249
|
0,333526719
|
9182
|
2x4591
|
63208891
|
84290761
|
0,333526972
|
9166
|
2x4583
|
12597751
|
16799445
|
0,33352731
|
9134
|
2x4567
|
62549635
|
83411689
|
0,333527989
|
9122
|
2x4561
|
62385361
|
83192641
|
0,333528246
|
9098
|
2x4549
|
62057461
|
82755409
|
0,33352876
|
9094
|
2x4547
|
62002895
|
82682649
|
0,333528846
|
9046
|
2x4523
|
2453999
|
3272481
|
0,333529883
|
9038
|
2x4519
|
61241491
|
81667369
|
0,333530057
|
9034
|
2x4517
|
61187285
|
81595089
|
0,333530144
|
9026
|
2x4513
|
12215789
|
16290125
|
0,333530319
|
9014
|
2x4507
|
60916615
|
81234169
|
0,333530581
|
8986
|
2x4493
|
12107737
|
16146045
|
0,333531196
|
8966
|
2x4483
|
12053891
|
16074245
|
0,333531637
|
8962
|
2x4481
|
60215681
|
80299521
|
0,333531726
|
8926
|
2x4463
|
11946559
|
15931125
|
0,333532526
|
8914
|
2x4457
|
59572265
|
79441569
|
0,333532794
|
8902
|
2x4451
|
59411951
|
79227801
|
0,333533063
|
8894
|
2x4447
|
59305195
|
79085449
|
0,333533243
|
8882
|
2x4441
|
59145241
|
78872161
|
0,333533513
|
8846
|
2x4423
|
2346667
|
3129361
|
0,333534328
|
8842
|
2x4421
|
58613621
|
78163281
|
0,333534419
|
8818
|
2x4409
|
58295801
|
77739489
|
0,333534966
|
8794
|
2x4397
|
57978845
|
77316849
|
0,333535516
|
8782
|
2x4391
|
57820691
|
77105961
|
0,333535793
|
8746
|
2x4373
|
2293901
|
3059001
|
0,333536626
|
8726
|
2x4363
|
11417099
|
15225125
|
0,333537092
|
8714
|
2x4357
|
56928565
|
75916369
|
0,333537373
|
8698
|
2x4349
|
56719661
|
75637809
|
0,333537748
|
8678
|
2x4339
|
56459071
|
75290329
|
0,333538219
|
8674
|
2x4337
|
56407025
|
75220929
|
0,333538314
|
8654
|
2x4327
|
56147155
|
74874409
|
0,333538787
|
8594
|
2x4297
|
55371145
|
73839649
|
0,333540222
|
8578
|
2x4289
|
55165121
|
73564929
|
0,333540608
|
8566
|
2x4283
|
11002171
|
14671845
|
0,333540898
|
8546
|
2x4273
|
2190169
|
2920681
|
0,333541384
|
8542
|
2x4271
|
54702971
|
72948681
|
0,333541482
|
8522
|
2x4261
|
54447061
|
72607441
|
0,33354197
|
8518
|
2x4259
|
54395951
|
72539289
|
0,333542068
|
8506
|
2x4253
|
10848553
|
14467005
|
0,333542363
|
8486
|
2x4243
|
10797587
|
14399045
|
0,333542855
|
8482
|
2x4241
|
53937041
|
71927361
|
0,333542954
|
8462
|
2x4231
|
53682931
|
71588521
|
0,33354345
|
8458
|
2x4229
|
53632181
|
71520849
|
0,333543549
|
8438
|
2x4219
|
53378791
|
71182969
|
0,333544047
|
8434
|
2x4217
|
53328185
|
71115489
|
0,333544147
|
8422
|
2x4211
|
53176511
|
70913241
|
0,333544448
|
8402
|
2x4201
|
52924201
|
70576801
|
0,33354495
|
8354
|
2x4177
|
52321105
|
69772609
|
0,333546167
|
8318
|
2x4159
|
51871051
|
69172489
|
0,333547088
|
8314
|
2x4157
|
51821165
|
69105969
|
0,333547191
|
8306
|
2x4153
|
10344293
|
13794605
|
0,333547397
|
8278
|
2x4139
|
51373271
|
68508729
|
0,333548121
|
8266
|
2x4133
|
10244881
|
13662045
|
0,333548433
|
8258
|
2x4129
|
51125281
|
68178049
|
0,333548641
|
8254
|
2x4127
|
51075755
|
68112009
|
0,333548745
|
8222
|
2x4111
|
50680411
|
67584841
|
0,333549584
|
8198
|
2x4099
|
50384911
|
67190809
|
0,333550217
|
8186
|
2x4093
|
10047497
|
13398845
|
0,333550535
|
8182
|
2x4091
|
50188391
|
66928761
|
0,333550641
|
8158
|
2x4079
|
49894331
|
66536649
|
0,333551281
|
8146
|
2x4073
|
1989905
|
2653641
|
0,333551602
|
8114
|
2x4057
|
49357465
|
65820769
|
0,333552463
|
8102
|
2x4051
|
49211551
|
65626201
|
0,333552787
|
8098
|
2x4049
|
49162961
|
65561409
|
0,333552896
|
8054
|
2x4027
|
48630055
|
64850809
|
0,333554095
|
8042
|
2x4021
|
48485221
|
64657681
|
0,333554425
|
8038
|
2x4019
|
48436991
|
64593369
|
0,333554535
|
8026
|
2x4013
|
9658489
|
12880125
|
0,333554866
|
8014
|
2x4007
|
48148115
|
64208169
|
0,333555197
|
8006
|
2x4003
|
9610403
|
12816005
|
0,333555419
|
8002
|
2x4001
|
48004001
|
64016001
|
0,33355553
|
7978
|
2x3989
|
47716421
|
63632529
|
0,333556199
|
7934
|
2x3967
|
47191435
|
62932489
|
0,333557435
|
7894
|
2x3947
|
46716695
|
62299449
|
0,33355857
|
7886
|
2x3943
|
9324407
|
12434645
|
0,333558799
|
7862
|
2x3931
|
46338631
|
61795321
|
0,333559487
|
7858
|
2x3929
|
46291481
|
61732449
|
0,333559602
|
7846
|
2x3923
|
1846007
|
2461761
|
0,333559949
|
7838
|
2x3919
|
46056091
|
61418569
|
0,33356018
|
7834
|
2x3917
|
46009085
|
61355889
|
0,333560296
|
7822
|
2x3911
|
45868211
|
61168041
|
0,333560644
|
7814
|
2x3907
|
45774415
|
61042969
|
0,333560877
|
7778
|
2x3889
|
45353521
|
60481729
|
0,33356193
|
7762
|
2x3881
|
45167081
|
60233121
|
0,333562401
|
7754
|
2x3877
|
45074005
|
60109009
|
0,333562638
|
7726
|
2x3863
|
8949799
|
11935125
|
0,333563469
|
7706
|
2x3853
|
8903513
|
11873405
|
0,333564066
|
7702
|
2x3851
|
44471351
|
59305401
|
0,333564186
|
7694
|
2x3847
|
44378995
|
59182249
|
0,333564426
|
7666
|
2x3833
|
8811301
|
11750445
|
0,33356527
|
7646
|
2x3823
|
1753075
|
2337841
|
0,333565877
|
7642
|
2x3821
|
43781021
|
58384881
|
0,333565999
|
7606
|
2x3803
|
8673883
|
11567205
|
0,3335671
|
7594
|
2x3797
|
43232645
|
57653649
|
0,33356747
|
7586
|
2x3793
|
8628317
|
11506445
|
0,333567717
|
7558
|
2x3779
|
42823631
|
57108249
|
0,333568585
|
7538
|
2x3769
|
42597241
|
56806369
|
0,333569209
|
7534
|
2x3767
|
42552035
|
56746089
|
0,333569335
|
7522
|
2x3761
|
42416561
|
56565441
|
0,333569711
|
7478
|
2x3739
|
41921671
|
55905529
|
0,333571102
|
7466
|
2x3733
|
8357441
|
11145245
|
0,333571484
|
7454
|
2x3727
|
41652955
|
55547209
|
0,333571868
|
7438
|
2x3719
|
41474291
|
55308969
|
0,333572381
|
7418
|
2x3709
|
41251501
|
55011889
|
0,333573026
|
7402
|
2x3701
|
41073701
|
54774801
|
0,333573544
|
7394
|
2x3697
|
40984945
|
54656449
|
0,333573804
|
7382
|
2x3691
|
40851991
|
54479161
|
0,333574195
|
7354
|
2x3677
|
40542605
|
54066609
|
0,333575112
|
7346
|
2x3673
|
1618177
|
2157961
|
0,333575375
|
7342
|
2x3671
|
40410371
|
53890281
|
0,333575507
|
7318
|
2x3659
|
40146551
|
53538489
|
0,333576301
|
7286
|
2x3643
|
7959227
|
10614245
|
0,333577369
|
7274
|
2x3637
|
39665125
|
52896529
|
0,333577771
|
7262
|
2x3631
|
39534331
|
52722121
|
0,333578175
|
7246
|
2x3623
|
1574411
|
2099601
|
0,333578716
|
7234
|
2x3617
|
39229985
|
52316289
|
0,333579123
|
7226
|
2x3613
|
7828649
|
10440125
|
0,333579395
|
7214
|
2x3607
|
39013315
|
52027369
|
0,333579805
|
7186
|
2x3593
|
7742197
|
10324845
|
0,333580765
|
7166
|
2x3583
|
7699151
|
10267445
|
0,333581456
|
7162
|
2x3581
|
38452781
|
51279921
|
0,333581595
|
7142
|
2x3571
|
38238271
|
50993881
|
0,33358229
|
7118
|
2x3559
|
37981651
|
50651689
|
0,333583129
|
7114
|
2x3557
|
37938965
|
50594769
|
0,33358327
|
7094
|
2x3547
|
37725895
|
50310649
|
0,333583975
|
7082
|
2x3541
|
37598341
|
50140561
|
0,333584399
|
7078
|
2x3539
|
37555871
|
50083929
|
0,333584541
|
7066
|
2x3533
|
7485721
|
9982845
|
0,333584968
|
7058
|
2x3529
|
37343881
|
49801249
|
0,333585253
|
7054
|
2x3527
|
37301555
|
49744809
|
0,333585396
|
7034
|
2x3517
|
37090285
|
49463089
|
0,333586113
|
7022
|
2x3511
|
36963811
|
49294441
|
0,333586545
|
6998
|
2x3499
|
36711511
|
48958009
|
0,333587413
|
6982
|
2x3491
|
36543791
|
48734361
|
0,333587996
|
6938
|
2x3469
|
36084541
|
48121969
|
0,333589611
|
6934
|
2x3467
|
36042935
|
48066489
|
0,333589759
|
6926
|
2x3463
|
7191959
|
9591125
|
0,333590055
|
6922
|
2x3461
|
35918261
|
47900241
|
0,333590204
|
6914
|
2x3457
|
35835265
|
47789569
|
0,333590501
|
6898
|
2x3449
|
35669561
|
47568609
|
0,333591097
|
6866
|
2x3433
|
7067861
|
9425645
|
0,333592299
|
6826
|
2x3413
|
6985729
|
9316125
|
0,333593817
|
6814
|
2x3407
|
34805915
|
46416969
|
0,333594276
|
6782
|
2x3391
|
34479691
|
45981961
|
0,333595507
|
6778
|
2x3389
|
34439021
|
45927729
|
0,333595662
|
6746
|
2x3373
|
1364581
|
1819801
|
0,333596906
|
6742
|
2x3371
|
34074071
|
45441081
|
0,333597063
|
6722
|
2x3361
|
33872161
|
45171841
|
0,333597848
|
6718
|
2x3359
|
33831851
|
45118089
|
0,333598005
|
6694
|
2x3347
|
33590495
|
44796249
|
0,333598954
|
6686
|
2x3343
|
6702047
|
8937845
|
0,333599272
|
6662
|
2x3331
|
33270031
|
44368921
|
0,33360023
|
6658
|
2x3329
|
33230081
|
44315649
|
0,333600391
|
6646
|
2x3323
|
1324415
|
1766241
|
0,333600873
|
6638
|
2x3319
|
33030691
|
44049769
|
0,333601195
|
6626
|
2x3313
|
6582269
|
8778125
|
0,333601681
|
6614
|
2x3307
|
32792215
|
43731769
|
0,333602167
|
6602
|
2x3301
|
32673301
|
43573201
|
0,333602656
|
6598
|
2x3299
|
32633711
|
43520409
|
0,333602819
|
6542
|
2x3271
|
32081971
|
42784681
|
0,333605127
|
6518
|
2x3259
|
31846951
|
42471289
|
0,333606128
|
6514
|
2x3257
|
31807865
|
42419169
|
0,333606295
|
6506
|
2x3253
|
6345953
|
8463005
|
0,333606631
|
6502
|
2x3251
|
31690751
|
42263001
|
0,333606799
|
6458
|
2x3229
|
31263181
|
41692849
|
0,333608663
|
6442
|
2x3221
|
31108421
|
41486481
|
0,333609346
|
6434
|
2x3217
|
31031185
|
41383489
|
0,33360969
|
6418
|
2x3209
|
30877001
|
41177889
|
0,333610379
|
6406
|
2x3203
|
6152323
|
8204805
|
0,333610898
|
6382
|
2x3191
|
30531491
|
40717161
|
0,333611942
|
6374
|
2x3187
|
30454975
|
40615129
|
0,333612292
|
6362
|
2x3181
|
30340381
|
40462321
|
0,333612818
|
6338
|
2x3169
|
30111841
|
40157569
|
0,333613876
|
6334
|
2x3167
|
30073835
|
40106889
|
0,333614054
|
6326
|
2x3163
|
5999579
|
8001125
|
0,333614409
|
6274
|
2x3137
|
29506625
|
39350529
|
0,333616739
|
6242
|
2x3121
|
29206321
|
38950081
|
0,333618192
|
6238
|
2x3119
|
29168891
|
38900169
|
0,333618374
|
6218
|
2x3109
|
28982101
|
38651089
|
0,333619291
|
6178
|
2x3089
|
28610321
|
38155329
|
0,333621143
|
6166
|
2x3083
|
5699851
|
7601445
|
0,333621703
|
6158
|
2x3079
|
28425331
|
37908649
|
0,333622078
|
6134
|
2x3067
|
28204135
|
37613689
|
0,333623208
|
6122
|
2x3061
|
28093861
|
37466641
|
0,333623776
|
6098
|
2x3049
|
27873961
|
37173409
|
0,33362492
|
6082
|
2x3041
|
27727841
|
36978561
|
0,333625687
|
6074
|
2x3037
|
27654925
|
36881329
|
0,333626072
|
6046
|
2x3023
|
1096019
|
1461681
|
0,333627428
|
6038
|
2x3019
|
27327991
|
36445369
|
0,333627818
|
6022
|
2x3011
|
27183311
|
36252441
|
0,3336286
|
6002
|
2x3001
|
27003001
|
36012001
|
0,333629584
|
5998
|
2x2999
|
26967011
|
35964009
|
0,333629782
|
9717
|
3x41x79
|
8848083
|
11800082
|
0,333631477
|
5942
|
2x2971
|
26465671
|
35295481
|
0,333632576
|
5938
|
2x2969
|
26430041
|
35247969
|
0,333632778
|
5926
|
2x2963
|
5264659
|
7021125
|
0,333633384
|
5914
|
2x2957
|
26216765
|
34963569
|
0,333633993
|
5906
|
2x2953
|
5229173
|
6973805
|
0,333634401
|
5878
|
2x2939
|
25898471
|
34539129
|
0,333635835
|
5854
|
2x2927
|
25687355
|
34257609
|
0,333637076
|
5834
|
2x2917
|
25512085
|
34023889
|
0,333638117
|
5818
|
2x2909
|
25372301
|
33837489
|
0,333638955
|
5806
|
2x2903
|
5053543
|
6739605
|
0,333639587
|
5794
|
2x2897
|
25163345
|
33558849
|
0,333640222
|
5774
|
2x2887
|
24989875
|
33327529
|
0,333641285
|
5758
|
2x2879
|
24851531
|
33143049
|
0,333642141
|
5722
|
2x2861
|
24541661
|
32729841
|
0,333644084
|
5714
|
2x2857
|
24473065
|
32638369
|
0,333644519
|
5702
|
2x2851
|
24370351
|
32501401
|
0,333645174
|
5686
|
2x2843
|
4846747
|
6463845
|
0,333646052
|
5674
|
2x2837
|
24131525
|
32182929
|
0,333646713
|
5666
|
2x2833
|
4812701
|
6418445
|
0,333647156
|
5638
|
2x2819
|
23826191
|
31775769
|
0,333648715
|
5606
|
2x2803
|
4711283
|
6283205
|
0,333650515
|
5602
|
2x2801
|
23522801
|
31371201
|
0,333650742
|
5594
|
2x2797
|
23455645
|
31281649
|
0,333651196
|
5582
|
2x2791
|
23355091
|
31147561
|
0,333651879
|
5578
|
2x2789
|
23321621
|
31102929
|
0,333652108
|
5554
|
2x2777
|
23121305
|
30835809
|
0,333653485
|
5534
|
2x2767
|
22955035
|
30614089
|
0,333654643
|
5506
|
2x2753
|
4544653
|
6061005
|
0,333656277
|
5498
|
2x2749
|
22657261
|
30217009
|
0,333656747
|
5482
|
2x2741
|
22525541
|
30041361
|
0,333657691
|
5462
|
2x2731
|
22361431
|
29822521
|
0,333658879
|
5458
|
2x2729
|
22328681
|
29778849
|
0,333659118
|
5438
|
2x2719
|
22165291
|
29560969
|
0,333660316
|
5426
|
2x2713
|
4413509
|
5886125
|
0,333661039
|
5422
|
2x2711
|
22035011
|
29387241
|
0,333661281
|
5414
|
2x2707
|
21970015
|
29300569
|
0,333661766
|
5398
|
2x2699
|
21840311
|
29127609
|
0,33366274
|
5386
|
2x2693
|
4348657
|
5799645
|
0,333663474
|
5378
|
2x2689
|
21678721
|
28912129
|
0,333663965
|
5374
|
2x2687
|
21646475
|
28869129
|
0,333664211
|
5366
|
2x2683
|
4316411
|
5756645
|
0,333664704
|
5354
|
2x2677
|
21485605
|
28654609
|
0,333665447
|
5342
|
2x2671
|
21389371
|
28526281
|
0,333666193
|
5326
|
2x2663
|
4252279
|
5671125
|
0,333667194
|
5318
|
2x2659
|
21197551
|
28270489
|
0,333667696
|
5314
|
2x2657
|
21165665
|
28227969
|
0,333667948
|
5294
|
2x2647
|
21006595
|
28015849
|
0,333669212
|
5266
|
2x2633
|
4156981
|
5544045
|
0,333670998
|
5242
|
2x2621
|
20595821
|
27468081
|
0,333672545
|
5234
|
2x2617
|
20532985
|
27384289
|
0,333673063
|
5218
|
2x2609
|
20407601
|
27217089
|
0,333674105
|
5186
|
2x2593
|
4031597
|
5376845
|
0,333676208
|
5182
|
2x2591
|
20126891
|
26842761
|
0,333676473
|
5158
|
2x2579
|
19940831
|
26594649
|
0,33367807
|
5114
|
2x2557
|
19601965
|
26142769
|
0,333681037
|
5102
|
2x2551
|
19510051
|
26020201
|
0,333681855
|
5098
|
2x2549
|
19479461
|
25979409
|
0,333682128
|
5086
|
2x2543
|
3877567
|
5171445
|
0,333682951
|
5078
|
2x2539
|
19326871
|
25775929
|
0,333683502
|
5062
|
2x2531
|
19205231
|
25613721
|
0,333684609
|
5042
|
2x2521
|
19053721
|
25411681
|
0,333686003
|
5006
|
2x2503
|
3756503
|
5010005
|
0,33368854
|
4954
|
2x2477
|
18394205
|
24532209
|
0,333692269
|
4946
|
2x2473
|
733393
|
978121
|
0,33369285
|
4934
|
2x2467
|
18245935
|
24334489
|
0,333693724
|
4918
|
2x2459
|
18127751
|
24176889
|
0,333694897
|
4894
|
2x2447
|
17951195
|
23941449
|
0,33369667
|
4882
|
2x2441
|
17863241
|
23824161
|
0,333697564
|
4874
|
2x2437
|
17804725
|
23746129
|
0,333698162
|
4846
|
2x2423
|
704027
|
938961
|
0,33370027
|
4834
|
2x2417
|
17513585
|
23357889
|
0,333701181
|
4822
|
2x2411
|
17426711
|
23242041
|
0,333702097
|
4798
|
2x2399
|
17253611
|
23011209
|
0,333703942
|
4786
|
2x2393
|
3433477
|
4579245
|
0,333704871
|
4778
|
2x2389
|
17110021
|
22819729
|
0,333705493
|
4766
|
2x2383
|
3404831
|
4541045
|
0,333706431
|
4762
|
2x2381
|
16995581
|
22667121
|
0,333706744
|
4754
|
2x2377
|
16938505
|
22591009
|
0,333707373
|
4742
|
2x2371
|
16853071
|
22477081
|
0,333708319
|
4714
|
2x2357
|
16654565
|
22212369
|
0,333710547
|
4702
|
2x2351
|
16569851
|
22099401
|
0,33371151
|
4694
|
2x2347
|
16513495
|
22024249
|
0,333712155
|
4682
|
2x2341
|
16429141
|
21911761
|
0,333713126
|
4678
|
2x2339
|
16401071
|
21874329
|
0,333713451
|
4666
|
2x2333
|
3263401
|
4352445
|
0,333714429
|
4622
|
2x2311
|
16010611
|
21353641
|
0,333718057
|
4618
|
2x2309
|
15982901
|
21316689
|
0,333718391
|
4594
|
2x2297
|
15817145
|
21095649
|
0,333720403
|
4586
|
2x2293
|
3152417
|
4204445
|
0,333721078
|
4574
|
2x2287
|
15679675
|
20912329
|
0,333722096
|
4562
|
2x2281
|
15597481
|
20802721
|
0,333723118
|
4546
|
2x2273
|
619529
|
826281
|
0,333724491
|
4538
|
2x2269
|
15433741
|
20584369
|
0,33372518
|
4534
|
2x2267
|
15406535
|
20548089
|
0,333725526
|
4502
|
2x2251
|
15189751
|
20259001
|
0,333728315
|
4486
|
2x2243
|
3016387
|
4023045
|
0,333729724
|
4478
|
2x2239
|
15028171
|
20043529
|
0,333730432
|
4474
|
2x2237
|
15001325
|
20007729
|
0,333730787
|
4442
|
2x2221
|
14787421
|
19722481
|
0,333733651
|
4426
|
2x2213
|
2936209
|
3916125
|
0,333735099
|
4414
|
2x2207
|
14601515
|
19474569
|
0,333736191
|
4406
|
2x2203
|
2909723
|
3880805
|
0,333736923
|
4358
|
2x2179
|
14233231
|
18983449
|
0,333741369
|
4322
|
2x2161
|
13998961
|
18671041
|
0,333744769
|
4306
|
2x2153
|
2779093
|
3706605
|
0,333746298
|
4286
|
2x2143
|
2753327
|
3672245
|
0,333748225
|
4282
|
2x2141
|
13740941
|
18326961
|
0,333748613
|
4274
|
2x2137
|
13689625
|
18258529
|
0,333749391
|
4262
|
2x2131
|
13612831
|
18156121
|
0,333750562
|
4258
|
2x2129
|
13587281
|
18122049
|
0,333750954
|
4226
|
2x2113
|
2676749
|
3570125
|
0,333754117
|
4222
|
2x2111
|
13358411
|
17816841
|
0,333754516
|
4198
|
2x2099
|
13206911
|
17614809
|
0,333756925
|
4178
|
2x2089
|
13081321
|
17447329
|
0,333758953
|
4174
|
2x2087
|
13056275
|
17413929
|
0,333759361
|
4166
|
2x2083
|
2601251
|
3469445
|
0,333760179
|
4162
|
2x2081
|
12981281
|
17313921
|
0,33376059
|
4138
|
2x2069
|
12831941
|
17114769
|
0,333763068
|
4126
|
2x2063
|
2551519
|
3403125
|
0,333764318
|
4106
|
2x2053
|
2526833
|
3370205
|
0,333766418
|
4078
|
2x2039
|
12462371
|
16621929
|
0,333769393
|
4058
|
2x2029
|
12340381
|
16459249
|
0,333771542
|
4054
|
2x2027
|
12316055
|
16426809
|
0,333771975
|
4034
|
2x2017
|
12194785
|
16265089
|
0,33377415
|
4022
|
2x2011
|
12122311
|
16168441
|
0,333775466
|
4006
|
2x2003
|
2405203
|
3208005
|
0,333777232
|
3998
|
2x1999
|
11978011
|
15976009
|
0,333778121
|
3994
|
2x1997
|
11954045
|
15944049
|
0,333778566
|
3986
|
2x1993
|
2381237
|
3176045
|
0,33377946
|
3974
|
2x1987
|
11834575
|
15784729
|
0,333780808
|
3958
|
2x1979
|
11739431
|
15657849
|
0,333782617
|
3946
|
2x1973
|
466733
|
622521
|
0,333783984
|
3902
|
2x1951
|
11409451
|
15217801
|
0,333789067
|
3898
|
2x1949
|
11386061
|
15186609
|
0,333789534
|
3866
|
2x1933
|
2239961
|
2987645
|
0,333793312
|
3862
|
2x1931
|
11176631
|
14907321
|
0,333793788
|
3826
|
2x1913
|
2193829
|
2926125
|
0,333798122
|
3814
|
2x1907
|
10900415
|
14538969
|
0,333799585
|
3802
|
2x1901
|
10831901
|
14447601
|
0,333801057
|
3778
|
2x1889
|
10695521
|
14265729
|
0,333804029
|
3758
|
2x1879
|
10582531
|
14115049
|
0,333806535
|
3754
|
2x1877
|
10560005
|
14085009
|
0,333807039
|
3746
|
2x1873
|
420601
|
561001
|
0,333808051
|
3742
|
2x1871
|
10492571
|
13995081
|
0,333808558
|
3734
|
2x1867
|
10447735
|
13935289
|
0,333809577
|
3722
|
2x1861
|
10380661
|
13845841
|
0,333811113
|
3694
|
2x1847
|
10224995
|
13638249
|
0,333814735
|
3662
|
2x1831
|
10048531
|
13402921
|
0,333818943
|
3646
|
2x1823
|
398435
|
531441
|
0,333821075
|
3622
|
2x1811
|
9830111
|
13111641
|
0,333824308
|
3602
|
2x1801
|
9721801
|
12967201
|
0,333827035
|
3578
|
2x1789
|
9592621
|
12794929
|
0,333830347
|
3574
|
2x1787
|
9571175
|
12766329
|
0,333830904
|
3566
|
2x1783
|
1905671
|
2541845
|
0,33383202
|
3554
|
2x1777
|
9464305
|
12623809
|
0,333833705
|
3518
|
2x1759
|
9273451
|
12369289
|
0,333838827
|
3506
|
2x1753
|
1842053
|
2457005
|
0,333840557
|
3494
|
2x1747
|
9147295
|
12201049
|
0,3338423
|
3482
|
2x1741
|
9084541
|
12117361
|
0,333844054
|
3466
|
2x1733
|
1800241
|
2401245
|
0,333846413
|
3446
|
2x1723
|
355903
|
474721
|
0,333849392
|
3442
|
2x1721
|
8876921
|
11840481
|
0,333849991
|
3418
|
2x1709
|
8753501
|
11675889
|
0,33385362
|
3398
|
2x1699
|
8651311
|
11539609
|
0,333856684
|
3394
|
2x1697
|
8630945
|
11512449
|
0,333857301
|
3386
|
2x1693
|
1718057
|
2291645
|
0,333858539
|
3338
|
2x1669
|
8348341
|
11135569
|
0,333866094
|
3334
|
2x1667
|
8328335
|
11108889
|
0,333866733
|
3326
|
2x1663
|
1657679
|
2211125
|
0,333868017
|
3314
|
2x1657
|
8228665
|
10975969
|
0,333869953
|
3274
|
2x1637
|
8031125
|
10712529
|
0,333876512
|
3254
|
2x1627
|
7933255
|
10582009
|
0,333879851
|
3242
|
2x1621
|
7874821
|
10504081
|
0,333881875
|
3238
|
2x1619
|
7855391
|
10478169
|
0,333882553
|
3226
|
2x1613
|
1559449
|
2080125
|
0,333884596
|
3218
|
2x1609
|
7758601
|
10349089
|
0,333885967
|
3214
|
2x1607
|
7739315
|
10323369
|
0,333886655
|
3202
|
2x1601
|
7681601
|
10246401
|
0,33388873
|
3194
|
2x1597
|
7643245
|
10195249
|
0,333890121
|
3166
|
2x1583
|
1501951
|
2003445
|
0,333895047
|
3158
|
2x1579
|
7471831
|
9966649
|
0,333896471
|
3142
|
2x1571
|
7396271
|
9865881
|
0,333899339
|
3134
|
2x1567
|
7358635
|
9815689
|
0,333900785
|
3118
|
2x1559
|
7283651
|
9715689
|
0,333903697
|
3106
|
2x1553
|
1445533
|
1928205
|
0,333905902
|
3098
|
2x1549
|
7190461
|
9591409
|
0,333907381
|
3086
|
2x1543
|
1426967
|
1903445
|
0,333909614
|
3062
|
2x1531
|
7024231
|
9369721
|
0,333914132
|
3046
|
2x1523
|
278039
|
370881
|
0,333917184
|
3022
|
2x1511
|
6841811
|
9126441
|
0,333921823
|
2998
|
2x1499
|
6733511
|
8982009
|
0,333926536
|
2986
|
2x1493
|
1335937
|
1782045
|
0,33392892
|
2978
|
2x1489
|
6643921
|
8862529
|
0,333930521
|
2974
|
2x1487
|
6626075
|
8838729
|
0,333931324
|
2966
|
2x1483
|
1318091
|
1758245
|
0,333932938
|
2962
|
2x1481
|
6572681
|
8767521
|
0,333933748
|
2942
|
2x1471
|
6484171
|
8649481
|
0,333937831
|
2918
|
2x1459
|
6378751
|
8508889
|
0,333942805
|
2906
|
2x1453
|
1265273
|
1687805
|
0,333945322
|
2902
|
2x1451
|
6308951
|
8415801
|
0,333946166
|
2894
|
2x1447
|
6274195
|
8369449
|
0,333947861
|
2878
|
2x1439
|
6204971
|
8277129
|
0,333951279
|
2866
|
2x1433
|
1230661
|
1641645
|
0,333953867
|
2858
|
2x1429
|
6118981
|
8162449
|
0,333955605
|
2854
|
2x1427
|
6101855
|
8139609
|
0,333956477
|
2846
|
2x1423
|
242707
|
323761
|
0,333958229
|
2818
|
2x1409
|
5948801
|
7935489
|
0,333964441
|
2798
|
2x1399
|
5864611
|
7823209
|
0,333968954
|
2762
|
2x1381
|
5714581
|
7623121
|
0,333977242
|
2746
|
2x1373
|
225941
|
301401
|
0,333980995
|
2734
|
2x1367
|
5599235
|
7469289
|
0,333983839
|
2722
|
2x1361
|
5550161
|
7403841
|
0,333986708
|
2654
|
2x1327
|
5276155
|
7038409
|
0,334003455
|
2642
|
2x1321
|
5228521
|
6974881
|
0,3340065
|
2638
|
2x1319
|
5212691
|
6953769
|
0,334007521
|
2614
|
2x1307
|
5118215
|
6827769
|
0,334013714
|
2606
|
2x1303
|
1017383
|
1357205
|
0,334015803
|
2602
|
2x1301
|
5071301
|
6765201
|
0,334016853
|
2594
|
2x1297
|
5040145
|
6723649
|
0,334018962
|
2582
|
2x1291
|
4993591
|
6661561
|
0,33402215
|
2578
|
2x1289
|
4978121
|
6640929
|
0,334023219
|
2566
|
2x1283
|
986371
|
1315845
|
0,334026446
|
9159
|
3x43x71
|
15717255
|
20967241
|
0,334026902
|
2558
|
2x1279
|
4901131
|
6538249
|
0,334028615
|
2554
|
2x1277
|
4885805
|
6517809
|
0,334029704
|
2518
|
2x1259
|
4748951
|
6335289
|
0,334039665
|
2498
|
2x1249
|
4673761
|
6235009
|
0,334045322
|
2474
|
2x1237
|
4584325
|
6115729
|
0,334052232
|
2462
|
2x1231
|
4539931
|
6056521
|
0,334055738
|
2458
|
2x1229
|
4525181
|
6036849
|
0,334056914
|
2446
|
2x1223
|
179243
|
239121
|
0,334060465
|
2434
|
2x1217
|
4437185
|
5919489
|
0,334064052
|
2426
|
2x1213
|
881609
|
1176125
|
0,334066463
|
2402
|
2x1201
|
4321201
|
5764801
|
0,334073791
|
2386
|
2x1193
|
852757
|
1137645
|
0,334078759
|
2374
|
2x1187
|
4220975
|
5631129
|
0,334082528
|
2362
|
2x1181
|
4178381
|
5574321
|
0,334086336
|
2342
|
2x1171
|
4107871
|
5480281
|
0,33409277
|
2326
|
2x1163
|
810379
|
1081125
|
0,334097996
|
2306
|
2x1153
|
796493
|
1062605
|
0,334104631
|
2302
|
2x1151
|
3968651
|
5294601
|
0,334105972
|
2258
|
2x1129
|
3818281
|
5094049
|
0,334121035
|
2246
|
2x1123
|
151111
|
201601
|
0,334125246
|
2234
|
2x1117
|
3737485
|
4986289
|
0,334129502
|
2218
|
2x1109
|
3684101
|
4915089
|
0,334135248
|
2206
|
2x1103
|
728863
|
972405
|
0,334139612
|
2194
|
2x1097
|
3604745
|
4809249
|
0,334144024
|
2186
|
2x1093
|
715697
|
954845
|
0,334146992
|
2182
|
2x1091
|
3565391
|
4756761
|
0,334148485
|
2174
|
2x1087
|
3539275
|
4721929
|
0,334151486
|
2138
|
2x1069
|
3422941
|
4566769
|
0,334165269
|
2126
|
2x1063
|
676919
|
903125
|
0,334169967
|
2122
|
2x1061
|
3371861
|
4498641
|
0,334171545
|
2102
|
2x1051
|
3308551
|
4414201
|
0,334179525
|
2098
|
2x1049
|
3295961
|
4397409
|
0,334181139
|
2078
|
2x1039
|
3233371
|
4313929
|
0,334189303
|
2066
|
2x1033
|
639221
|
852845
|
0,334194277
|
2062
|
2x1031
|
3183731
|
4247721
|
0,334195948
|
2042
|
2x1021
|
3122221
|
4165681
|
0,334204401
|
2038
|
2x1019
|
3109991
|
4149369
|
0,334206112
|
2026
|
2x1013
|
614689
|
820125
|
0,334211284
|
2018
|
2x1009
|
3049201
|
4068289
|
0,334214766
|
1994
|
2x997
|
2977045
|
3972049
|
0,334225381
|
1982
|
2x991
|
2941291
|
3924361
|
0,334230785
|
1966
|
2x983
|
578791
|
772245
|
0,334238093
|
1954
|
2x977
|
2858705
|
3814209
|
0,334243652
|
1942
|
2x971
|
2823671
|
3767481
|
0,33424928
|
1934
|
2x967
|
2800435
|
3736489
|
0,334253071
|
1906
|
2x953
|
543973
|
725805
|
0,33426659
|
1894
|
2x947
|
2685695
|
3583449
|
0,334272507
|
1882
|
2x941
|
2651741
|
3538161
|
0,334278499
|
1874
|
2x937
|
2629225
|
3508129
|
0,334282536
|
1858
|
2x929
|
2584481
|
3448449
|
0,334290714
|
1838
|
2x919
|
2529091
|
3374569
|
0,334301138
|
1822
|
2x911
|
2485211
|
3316041
|
0,334309642
|
1814
|
2x907
|
2463415
|
3286969
|
0,33431395
|
1774
|
2x887
|
2355875
|
3143529
|
0,334336075
|
1766
|
2x883
|
466931
|
623045
|
0,33434062
|
1762
|
2x881
|
2324081
|
3101121
|
0,334342908
|
1754
|
2x877
|
2303005
|
3073009
|
0,334347516
|
1726
|
2x863
|
445999
|
595125
|
0,334363978
|
1718
|
2x859
|
2209351
|
2948089
|
0,334368781
|
1714
|
2x857
|
2199065
|
2934369
|
0,334371199
|
1706
|
2x853
|
435713
|
581405
|
0,334376069
|
1678
|
2x839
|
2107571
|
2812329
|
0,33439348
|
1658
|
2x829
|
2057581
|
2745649
|
0,334406276
|
1654
|
2x827
|
2047655
|
2732409
|
0,334408873
|
1646
|
2x823
|
81115
|
108241
|
0,334414103
|
1642
|
2x821
|
2018021
|
2692881
|
0,334416738
|
1622
|
2x811
|
1969111
|
2627641
|
0,334430106
|
1618
|
2x809
|
1959401
|
2614689
|
0,334432819
|
1594
|
2x797
|
1901645
|
2537649
|
0,334449385
|
1574
|
2x787
|
1854175
|
2474329
|
0,334463575
|
8601
|
3x47x61
|
277113
|
369800
|
0,334473662
|
1546
|
2x773
|
71549
|
95481
|
0,33448406
|
1538
|
2x769
|
1770241
|
2362369
|
0,33449005
|
1522
|
2x761
|
1733561
|
2313441
|
0,334502218
|
1514
|
2x757
|
1715365
|
2289169
|
0,334508399
|
1502
|
2x751
|
1688251
|
2253001
|
0,334517794
|
1486
|
2x743
|
330487
|
441045
|
0,334530556
|
1478
|
2x739
|
1634671
|
2181529
|
0,334537041
|
1466
|
2x733
|
321641
|
429245
|
0,334546902
|
1454
|
2x727
|
1581955
|
2111209
|
0,334556925
|
1438
|
2x719
|
1547291
|
2064969
|
0,334570549
|
1418
|
2x709
|
1504501
|
2007889
|
0,334588013
|
1402
|
2x701
|
1470701
|
1962801
|
0,334602343
|
1382
|
2x691
|
1428991
|
1907161
|
0,334620722
|
1366
|
2x683
|
279211
|
372645
|
0,334635813
|
1354
|
2x677
|
1371605
|
1830609
|
0,334647366
|
1346
|
2x673
|
54217
|
72361
|
0,334655182
|
1322
|
2x661
|
1307461
|
1745041
|
0,334679199
|
1318
|
2x659
|
1299551
|
1734489
|
0,334683287
|
1306
|
2x653
|
255193
|
340605
|
0,334695701
|
1294
|
2x647
|
1252595
|
1671849
|
0,334708345
|
1286
|
2x643
|
247427
|
330245
|
0,334716906
|
1282
|
2x641
|
1229441
|
1640961
|
0,334721227
|
1262
|
2x631
|
1191331
|
1590121
|
0,334743241
|
1238
|
2x619
|
1146391
|
1530169
|
0,334770597
|
1234
|
2x617
|
1138985
|
1520289
|
0,33477526
|
1226
|
2x613
|
224849
|
300125
|
0,334784678
|
1214
|
2x607
|
1102315
|
1471369
|
0,334799037
|
1202
|
2x601
|
1080601
|
1442401
|
0,334813682
|
1198
|
2x599
|
1073411
|
1432809
|
0,33481863
|
1186
|
2x593
|
210397
|
280845
|
0,334833672
|
1174
|
2x587
|
1030775
|
1375929
|
0,334849021
|
1154
|
2x577
|
995905
|
1329409
|
0,334875314
|
1142
|
2x571
|
975271
|
1301881
|
0,334891533
|
1138
|
2x569
|
968441
|
1292769
|
0,334897015
|
1126
|
2x563
|
189619
|
253125
|
0,334913695
|
1114
|
2x557
|
927965
|
1238769
|
0,334930736
|
1094
|
2x547
|
894895
|
1194649
|
0,334959967
|
1082
|
2x541
|
875341
|
1168561
|
0,334978026
|
8979
|
3x41x73
|
15094545
|
20151121
|
0,334993602
|
1046
|
2x523
|
32719
|
43681
|
0,335034689
|
1042
|
2x521
|
811721
|
1083681
|
0,335041227
|
1018
|
2x509
|
774701
|
1034289
|
0,335081535
|
1006
|
2x503
|
151303
|
202005
|
0,33510241
|
998
|
2x499
|
744511
|
994009
|
0,335116607
|
8643
|
3x43x67
|
13984471
|
18671041
|
0,335126727
|
982
|
2x491
|
720791
|
962361
|
0,335145694
|
974
|
2x487
|
709075
|
946729
|
0,335160597
|
9879
|
3x37x89
|
18269961
|
24393721
|
0,335181887
|
958
|
2x479
|
685931
|
915849
|
0,335191149
|
8319
|
3x47x59
|
12954831
|
17297281
|
0,335199278
|
934
|
2x467
|
651935
|
870489
|
0,335238943
|
926
|
2x463
|
128159
|
171125
|
0,335255425
|
922
|
2x461
|
635261
|
848241
|
0,335263773
|
914
|
2x457
|
624265
|
833569
|
0,33528069
|
898
|
2x449
|
602561
|
804609
|
0,335315429
|
886
|
2x443
|
117307
|
156645
|
0,335342307
|
878
|
2x439
|
575971
|
769129
|
0,335360634
|
866
|
2x433
|
112061
|
149645
|
0,335388761
|
862
|
2x431
|
555131
|
741321
|
0,335398311
|
842
|
2x421
|
529621
|
707281
|
0,335447424
|
838
|
2x419
|
524591
|
700569
|
0,335457528
|
8733
|
3x41x71
|
7136643
|
9530978
|
0,335498777
|
818
|
2x409
|
499801
|
667489
|
0,335509533
|
802
|
2x401
|
480401
|
641601
|
0,335553007
|
794
|
2x397
|
470845
|
628849
|
0,335575402
|
778
|
2x389
|
452021
|
603729
|
0,335621575
|
766
|
2x383
|
87631
|
117045
|
0,335657473
|
758
|
2x379
|
429031
|
573049
|
0,335682037
|
746
|
2x373
|
16621
|
22201
|
0,335719872
|
734
|
2x367
|
402235
|
537289
|
0,335758947
|
718
|
2x359
|
384851
|
514089
|
0,335813081
|
706
|
2x353
|
74413
|
99405
|
0,335855294
|
698
|
2x349
|
363661
|
485809
|
0,335884244
|
694
|
2x347
|
359495
|
480249
|
0,335898969
|
674
|
2x337
|
339025
|
452929
|
0,335975223
|
662
|
2x331
|
327031
|
436921
|
0,33602319
|
634
|
2x317
|
299885
|
400689
|
0,336142188
|
626
|
2x313
|
58469
|
78125
|
0,336178146
|
622
|
2x311
|
288611
|
385641
|
0,336196472
|
614
|
2x307
|
281215
|
375769
|
0,336233842
|
9213
|
3x37x83
|
7938363
|
10607618
|
0,336247536
|
1001
|
7x11x13
|
18709
|
25000
|
0,336255278
|
586
|
2x293
|
51217
|
68445
|
0,336372689
|
566
|
2x283
|
47771
|
63845
|
0,336480291
|
1495
|
5x13x23
|
417521
|
558009
|
0,336481279
|
562
|
2x281
|
235481
|
314721
|
0,336502733
|
554
|
2x277
|
228805
|
305809
|
0,336548589
|
8241
|
3x41x67
|
1269969
|
1697440
|
0,336599555
|
542
|
2x271
|
218971
|
292681
|
0,336619918
|
538
|
2x269
|
215741
|
288369
|
0,336644402
|
526
|
2x263
|
41239
|
55125
|
0,336720095
|
514
|
2x257
|
196865
|
263169
|
0,336799329
|
502
|
2x251
|
187751
|
251001
|
0,33688236
|
482
|
2x241
|
173041
|
231361
|
0,337029952
|
7869
|
3x43x61
|
5787515
|
7738178
|
0,337046729
|
8769
|
3x37x79
|
7187273
|
9609728
|
0,337047862
|
478
|
2x239
|
170171
|
227529
|
0,337060956
|
466
|
2x233
|
32341
|
43245
|
0,337157169
|
458
|
2x229
|
156181
|
208849
|
0,337224118
|
454
|
2x227
|
153455
|
205209
|
0,33725848
|
446
|
2x223
|
5923
|
7921
|
0,337329056
|
422
|
2x211
|
132511
|
177241
|
0,337556882
|