  |
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Liste des premiers dont l'abondance est 46,14...
Les premiers listés ci-dessous sont inférieurs à 501089 et triés par ordre croissant d'abondance.
Le pic situé à 46,14 contient 224 premiers avec p - 1 multiple de (2 et 13).
Pour les premiers ne contenant que ces facteurs (2 et 13), l 'abondance est égale à 46,153846154 et se calcule à l'aide de 6/ 13.
Avec toutefois trois exceptions en bleu.
|
Premier
|
Abondance
|
Décomposition de p - 1
|
|
349337
|
46,140105801
|
2^3 * 13 * 3359
|
|
174773
|
46,140113977
|
2^2 * 13 * 3361
|
|
176333
|
46,140235465
|
2^2 * 13 * 3391
|
|
354329
|
46,140299384
|
2^3 * 13 * 3407
|
|
354953
|
46,140323199
|
2^3 * 13 * 3413
|
|
358697
|
46,140464349
|
2^3 * 13 * 3449
|
|
180077
|
46,140518448
|
2^2 * 13 * 3463
|
|
91703
|
46,140760289
|
2 * 13 * 3527
|
|
183509
|
46,140767705
|
2^2 * 13 * 3529
|
|
184133
|
46,140812026
|
2^2 * 13 * 3541
|
|
376847
|
46,140863907
|
2 * 19 * 47 * 211
|
|
185069
|
46,140877948
|
2^2 * 13 * 3559
|
|
185693
|
46,140921526
|
2^2 * 13 * 3571
|
|
186317
|
46,140964812
|
2^2 * 13 * 3583
|
|
93419
|
46,141000664
|
2 * 13 * 3593
|
|
187877
|
46,141071771
|
2^2 * 13 * 3613
|
|
376793
|
46,14110703
|
2^3 * 13 * 3623
|
|
189437
|
46,141176967
|
2^2 * 13 * 3643
|
|
190997
|
46,141280446
|
2^2 * 13 * 3673
|
|
95603
|
46,141294115
|
2 * 13 * 3677
|
|
386777
|
46,14143587
|
2^3 * 13 * 3719
|
|
97787
|
46,141574459
|
2 * 13 * 3761
|
|
97943
|
46,141594005
|
2 * 13 * 3767
|
|
393017
|
46,141632911
|
2^3 * 13 * 3779
|
|
395513
|
46,141709986
|
2^3 * 13 * 3803
|
|
99347
|
46,141767157
|
2 * 13 * 3821
|
|
200357
|
46,141867476
|
2^2 * 13 * 3853
|
|
100907
|
46,141953898
|
2 * 13 * 3881
|
|
407369
|
46,142063196
|
2^3 * 13 * 3917
|
|
203789
|
46,142069209
|
2^2 * 13 * 3919
|
|
101999
|
46,142081217
|
2 * 13 * 3923
|
|
407993
|
46,142081217
|
2^3 * 13 * 3923
|
|
410489
|
46,142152755
|
2^3 * 13 * 3947
|
|
414857
|
46,142275874
|
2^3 * 13 * 3989
|
|
104183
|
46,142327849
|
2 * 13 * 4007
|
|
105899
|
46,142514495
|
2 * 13 * 4073
|
|
106367
|
46,142564353
|
2 * 13 * 4091
|
|
212837
|
46,142569866
|
2^2 * 13 * 4093
|
|
213149
|
46,142586372
|
2^2 * 13 * 4099
|
|
218453
|
46,142859759
|
2^2 * 13 * 4201
|
|
438569
|
46,142901443
|
2^3 * 13 * 4217
|
|
219389
|
46,142906631
|
2^2 * 13 * 4219
|
|
220013
|
46,142937658
|
2^2 * 13 * 4231
|
|
222197
|
46,143044879
|
2^2 * 13 * 4273
|
|
445433
|
46,143070098
|
2^3 * 13 * 4283
|
|
225629
|
46,143209176
|
2^2 * 13 * 4339
|
|
452297
|
46,143233635
|
2^3 * 13 * 4349
|
|
114167
|
46,143335144
|
2 * 13 * 4391
|
|
230933
|
46,143453484
|
2^2 * 13 * 4441
|
|
115727
|
46,143476833
|
2 * 13 * 4451
|
|
115883
|
46,143490792
|
2 * 13 * 4457
|
|
116507
|
46,143546255
|
2 * 13 * 4481
|
|
233117
|
46,14355085
|
2^2 * 13 * 4483
|
|
116819
|
46,143573764
|
2 * 13 * 4493
|
|
117443
|
46,143628344
|
2 * 13 * 4517
|
|
469769
|
46,143628344
|
2^3 * 13 * 4517
|
|
234989
|
46,143632866
|
2^2 * 13 * 4519
|
|
236549
|
46,143700222
|
2^2 * 13 * 4549
|
|
237173
|
46,143726915
|
2^2 * 13 * 4561
|
|
119159
|
46,143775491
|
2 * 13 * 4583
|
|
476633
|
46,143775491
|
2^3 * 13 * 4583
|
|
239357
|
46,143819248
|
2^2 * 13 * 4603
|
|
120563
|
46,143892769
|
2 * 13 * 4637
|
|
241229
|
46,14389706
|
2^2 * 13 * 4639
|
|
482873
|
46,143905631
|
2^3 * 13 * 4643
|
|
485993
|
46,143969448
|
2^3 * 13 * 4673
|
|
486617
|
46,143982113
|
2^3 * 13 * 4679
|
|
121967
|
46,144007346
|
2 * 13 * 4691
|
|
122279
|
46,144032451
|
2 * 13 * 4703
|
|
489113
|
46,144032451
|
2^3 * 13 * 4703
|
|
245909
|
46,144086406
|
2^2 * 13 * 4729
|
|
123059
|
46,144094655
|
2 * 13 * 4733
|
|
123527
|
46,1441316
|
2 * 13 * 4751
|
|
125243
|
46,144264704
|
2 * 13 * 4817
|
|
256517
|
46,144490012
|
2^2 * 13 * 4933
|
|
128519
|
46,14450894
|
2 * 13 * 4943
|
|
258389
|
46,144557797
|
2^2 * 13 * 4969
|
|
259949
|
46,144613538
|
2^2 * 13 * 4999
|
|
130079
|
46,14462092
|
2 * 13 * 5003
|
|
260573
|
46,144635648
|
2^2 * 13 * 5011
|
|
130547
|
46,144653992
|
2 * 13 * 5021
|
|
132263
|
46,144773253
|
2 * 13 * 5087
|
|
133979
|
46,144889459
|
2 * 13 * 5153
|
|
136163
|
46,145033122
|
2 * 13 * 5237
|
|
137723
|
46,145132949
|
2 * 13 * 5297
|
|
139907
|
46,145268966
|
2 * 13 * 5381
|
|
282413
|
46,145347931
|
2^2 * 13 * 5431
|
|
142403
|
46,145419306
|
2 * 13 * 5477
|
|
142559
|
46,145428527
|
2 * 13 * 5483
|
|
287093
|
46,145486464
|
2^2 * 13 * 5521
|
|
143807
|
46,145501579
|
2 * 13 * 5531
|
|
289589
|
46,145558518
|
2^2 * 13 * 5569
|
|
144899
|
46,145564466
|
2 * 13 * 5573
|
|
293957
|
46,145681667
|
2^2 * 13 * 5653
|
|
147083
|
46,14568744
|
2 * 13 * 5657
|
|
294269
|
46,145690323
|
2^2 * 13 * 5659
|
|
295517
|
46,145724766
|
2^2 * 13 * 5683
|
|
150827
|
46,145889966
|
2 * 13 * 5801
|
|
304253
|
46,145957956
|
2^2 * 13 * 5851
|
|
480563
|
46,145970759
|
2 * 23 * 31 * 337
|
|
155663
|
46,146137143
|
2 * 13 * 5987
|
|
316109
|
46,146253812
|
2^2 * 13 * 6079
|
|
159407
|
46,146318206
|
2 * 13 * 6131
|
|
318917
|
46,146320661
|
2^2 * 13 * 6133
|
|
320477
|
46,146357294
|
2^2 * 13 * 6163
|
|
160499
|
46,146369425
|
2 * 13 * 6173
|
|
161123
|
46,146398381
|
2 * 13 * 6197
|
|
359483
|
46,146399542
|
2 * 17 * 97 * 109
|
|
322349
|
46,146400784
|
2^2 * 13 * 6199
|
|
162683
|
46,1464698
|
2 * 13 * 6257
|
|
162839
|
46,146476867
|
2 * 13 * 6263
|
|
335453
|
46,146691628
|
2^2 * 13 * 6451
|
|
337013
|
46,146724746
|
2^2 * 13 * 6481
|
|
170327
|
46,146800841
|
2 * 13 * 6551
|
|
340757
|
46,146802991
|
2^2 * 13 * 6553
|
|
344189
|
46,14687322
|
2^2 * 13 * 6619
|
|
346373
|
46,146917187
|
2^2 * 13 * 6661
|
|
347933
|
46,146948254
|
2^2 * 13 * 6691
|
|
353237
|
46,147051829
|
2^2 * 13 * 6793
|
|
355109
|
46,147087647
|
2^2 * 13 * 6829
|
|
178439
|
46,147121129
|
2 * 13 * 6863
|
|
357293
|
46,147128959
|
2^2 * 13 * 6871
|
|
179687
|
46,147167837
|
2 * 13 * 6911
|
|
180623
|
46,147202445
|
2 * 13 * 6947
|
|
361349
|
46,147204357
|
2^2 * 13 * 6949
|
|
361973
|
46,147215807
|
2^2 * 13 * 6961
|
|
363533
|
46,147244259
|
2^2 * 13 * 6991
|
|
182027
|
46,147253689
|
2 * 13 * 7001
|
|
182339
|
46,147264969
|
2 * 13 * 7013
|
|
366029
|
46,147289278
|
2^2 * 13 * 7039
|
|
183119
|
46,147293002
|
2 * 13 * 7043
|
|
185303
|
46,147370239
|
2 * 13 * 7127
|
|
372269
|
46,147399186
|
2^2 * 13 * 7159
|
|
188579
|
46,147482739
|
2 * 13 * 7253
|
|
189983
|
46,147529766
|
2 * 13 * 7307
|
|
190607
|
46,147550444
|
2 * 13 * 7331
|
|
382253
|
46,147567573
|
2^2 * 13 * 7351
|
|
384437
|
46,147603242
|
2^2 * 13 * 7393
|
|
193727
|
46,147651838
|
2 * 13 * 7451
|
|
193883
|
46,147656822
|
2 * 13 * 7457
|
|
194507
|
46,147676678
|
2 * 13 * 7481
|
|
195443
|
46,147706225
|
2 * 13 * 7517
|
|
195599
|
46,147711122
|
2 * 13 * 7523
|
|
392549
|
46,147732252
|
2^2 * 13 * 7549
|
|
393797
|
46,147751628
|
2^2 * 13 * 7573
|
|
197003
|
46,147754845
|
2 * 13 * 7577
|
|
197159
|
46,147759665
|
2 * 13 * 7583
|
|
394733
|
46,147766079
|
2^2 * 13 * 7591
|
|
396293
|
46,147790013
|
2^2 * 13 * 7621
|
|
198719
|
46,147807446
|
2 * 13 * 7643
|
|
199499
|
46,147831056
|
2 * 13 * 7673
|
|
199967
|
46,147845134
|
2 * 13 * 7691
|
|
200903
|
46,147873092
|
2 * 13 * 7727
|
|
201683
|
46,147896193
|
2 * 13 * 7757
|
|
405029
|
46,147920638
|
2^2 * 13 * 7789
|
|
409397
|
46,147983859
|
2^2 * 13 * 7873
|
|
204803
|
46,147986836
|
2 * 13 * 7877
|
|
409709
|
46,147988323
|
2^2 * 13 * 7879
|
|
205427
|
46,148004634
|
2 * 13 * 7901
|
|
414077
|
46,148050116
|
2^2 * 13 * 7963
|
|
416573
|
46,148084845
|
2^2 * 13 * 8011
|
|
210263
|
46,148138989
|
2 * 13 * 8087
|
|
211199
|
46,148164282
|
2 * 13 * 8123
|
|
212447
|
46,14819766
|
2 * 13 * 8171
|
|
425309
|
46,148203185
|
2^2 * 13 * 8179
|
|
214007
|
46,148238834
|
2 * 13 * 8231
|
|
214163
|
46,148242919
|
2 * 13 * 8237
|
|
429677
|
46,14826055
|
2^2 * 13 * 8263
|
|
431237
|
46,148280756
|
2^2 * 13 * 8293
|
|
215723
|
46,148283439
|
2 * 13 * 8297
|
|
217439
|
46,148327339
|
2 * 13 * 8363
|
|
439973
|
46,148391261
|
2^2 * 13 * 8461
|
|
444029
|
46,148441089
|
2^2 * 13 * 8539
|
|
448397
|
46,148493742
|
2^2 * 13 * 8623
|
|
224303
|
46,148496224
|
2 * 13 * 8627
|
|
449333
|
46,148504892
|
2^2 * 13 * 8641
|
|
227267
|
46,148565998
|
2 * 13 * 8741
|
|
455573
|
46,148578051
|
2^2 * 13 * 8761
|
|
228359
|
46,148591247
|
2 * 13 * 8783
|
|
457757
|
46,148603186
|
2^2 * 13 * 8803
|
|
228983
|
46,148605567
|
2 * 13 * 8807
|
|
229763
|
46,148623358
|
2 * 13 * 8837
|
|
230387
|
46,148637504
|
2 * 13 * 8861
|
|
462437
|
46,148656246
|
2^2 * 13 * 8893
|
|
464309
|
46,148677171
|
2^2 * 13 * 8929
|
|
232259
|
46,148679486
|
2 * 13 * 8933
|
|
234287
|
46,148724209
|
2 * 13 * 9011
|
|
474917
|
46,148792629
|
2^2 * 13 * 9133
|
|
237563
|
46,148794841
|
2 * 13 * 9137
|
|
238499
|
46,148814665
|
2 * 13 * 9173
|
|
480533
|
46,148851689
|
2^2 * 13 * 9241
|
|
482717
|
46,148874286
|
2^2 * 13 * 9283
|
|
242399
|
46,148895618
|
2 * 13 * 9323
|
|
242867
|
46,148905158
|
2 * 13 * 9341
|
|
243647
|
46,148920976
|
2 * 13 * 9371
|
|
488333
|
46,148931465
|
2^2 * 13 * 9391
|
|
490829
|
46,148956457
|
2^2 * 13 * 9439
|
|
492077
|
46,148968858
|
2^2 * 13 * 9463
|
|
246923
|
46,14898632
|
2 * 13 * 9497
|
|
247547
|
46,14899857
|
2 * 13 * 9521
|
|
499253
|
46,149038962
|
2^2 * 13 * 9601
|
|
250199
|
46,149049952
|
2 * 13 * 9623
|
|
254879
|
46,149138019
|
2 * 13 * 9803
|
|
255659
|
46,149152383
|
2 * 13 * 9833
|
|
261587
|
46,149258752
|
2 * 13 * 10061
|
|
263927
|
46,149299425
|
2 * 13 * 10151
|
|
268607
|
46,149378644
|
2 * 13 * 10331
|
|
270167
|
46,14940444
|
2 * 13 * 10391
|
|
272039
|
46,149435005
|
2 * 13 * 10463
|
|
275783
|
46,149494891
|
2 * 13 * 10607
|
|
275939
|
46,149497351
|
2 * 13 * 10613
|
|
282959
|
46,149605242
|
2 * 13 * 10883
|
|
286703
|
46,149660623
|
2 * 13 * 11027
|
|
290447
|
46,149714577
|
2 * 13 * 11171
|
|
291539
|
46,149730052
|
2 * 13 * 11213
|
|
292319
|
46,149741035
|
2 * 13 * 11243
|
|
293099
|
46,14975196
|
2 * 13 * 11273
|
|
294347
|
46,149769319
|
2 * 13 * 11321
|
|
296687
|
46,149801474
|
2 * 13 * 11411
|
|
297623
|
46,149814194
|
2 * 13 * 11447
|
|
298247
|
46,14982263
|
2 * 13 * 11471
|
|
298559
|
46,149826834
|
2 * 13 * 11483
|
|
302459
|
46,149878661
|
2 * 13 * 11633
|
|
304643
|
46,149907104
|
2 * 13 * 11717
|
|
306359
|
46,149929168
|
2 * 13 * 11783
|
|
306827
|
46,149935142
|
2 * 13 * 11801
|
|
309479
|
46,149968657
|
2 * 13 * 11903
|