  |
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Liste des premiers dont l'abondance est 47,35... ou 47,36...
Les premiers listés ci-dessous sont inférieurs à 501089 et triés par ordre croissant d'abondance.
Les deux pics situé à 47,35 et 47 36 contiennent de nombreux premiers avec p - 1 multiple de (2 et 19).
Pour les premiers ne contenant que ces facteurs (2 et 19), l 'abondance est égale à 47,368421053 et se calcule à l'aide de 9/ 19.
|
Premier
|
Abondance
|
Décomposition du premier - 1
|
|
98459
|
47,350139146
|
2 * 19 * 2591
|
|
398393
|
47,350348401
|
2^3 * 19 * 2621
|
|
400217
|
47,350430767
|
2^3 * 19 * 2633
|
|
203909
|
47,350766032
|
2^2 * 19 * 2683
|
|
102107
|
47,350792314
|
2 * 19 * 2687
|
|
409337
|
47,350831591
|
2^3 * 19 * 2693
|
|
102563
|
47,350870693
|
2 * 19 * 2699
|
|
412073
|
47,350948378
|
2^3 * 19 * 2711
|
|
103703
|
47,351063625
|
2 * 19 * 2729
|
|
414809
|
47,351063625
|
2^3 * 19 * 2729
|
|
105527
|
47,351363645
|
2 * 19 * 2777
|
|
105983
|
47,351437036
|
2 * 19 * 2789
|
|
212117
|
47,351449207
|
2^2 * 19 * 2791
|
|
212573
|
47,351485614
|
2^2 * 19 * 2797
|
|
213029
|
47,351521866
|
2^2 * 19 * 2803
|
|
107123
|
47,351617782
|
2 * 19 * 2819
|
|
428489
|
47,351617782
|
2^3 * 19 * 2819
|
|
215309
|
47,351700819
|
2^2 * 19 * 2833
|
|
432137
|
47,351759631
|
2^3 * 19 * 2843
|
|
434873
|
47,351864457
|
2^3 * 19 * 2861
|
|
441257
|
47,352103994
|
2^3 * 19 * 2903
|
|
110543
|
47,352137649
|
2 * 19 * 2909
|
|
111227
|
47,352237786
|
2 * 19 * 2927
|
|
224429
|
47,352380273
|
2^2 * 19 * 2953
|
|
450377
|
47,35243441
|
2^3 * 19 * 2963
|
|
9293
|
47,352561343
|
2^2 * 23 * 101
|
|
106859
|
47,352561343
|
2 * 23^2 * 101
|
|
427433
|
47,352561343
|
2^3 * 23^2 * 101
|
|
113963
|
47,352626314
|
2 * 19 * 2999
|
|
455849
|
47,352626314
|
2^3 * 19 * 2999
|
|
228077
|
47,35263684
|
2^2 * 19 * 3001
|
|
114419
|
47,352689262
|
2 * 19 * 3011
|
|
457673
|
47,352689262
|
2^3 * 19 * 3011
|
|
469529
|
47,353086504
|
2^3 * 19 * 3089
|
|
121259
|
47,353576671
|
2 * 19 * 3191
|
|
487769
|
47,353659937
|
2^3 * 19 * 3209
|
|
244493
|
47,353696644
|
2^2 * 19 * 3217
|
|
122399
|
47,35371493
|
2 * 19 * 3221
|
|
247229
|
47,353859595
|
2^2 * 19 * 3253
|
|
248597
|
47,353939725
|
2^2 * 19 * 3271
|
|
251789
|
47,35412331
|
2^2 * 19 * 3313
|
|
253157
|
47,354200572
|
2^2 * 19 * 3331
|
|
127643
|
47,354319111
|
2 * 19 * 3359
|
|
128099
|
47,354369311
|
2 * 19 * 3371
|
|
256349
|
47,354377643
|
2^2 * 19 * 3373
|
|
257717
|
47,354452188
|
2^2 * 19 * 3391
|
|
131063
|
47,354687095
|
2 * 19 * 3449
|
|
262733
|
47,354718877
|
2^2 * 19 * 3457
|
|
131519
|
47,354734713
|
2 * 19 * 3461
|
|
266837
|
47,35492962
|
2^2 * 19 * 3511
|
|
269117
|
47,355043922
|
2^2 * 19 * 3541
|
|
269573
|
47,35506655
|
2^2 * 19 * 3547
|
|
137447
|
47,355325
|
2 * 19 * 3617
|
|
276869
|
47,355418467
|
2^2 * 19 * 3643
|
|
140639
|
47,355622236
|
2 * 19 * 3701
|
|
298757
|
47,356371085
|
2^2 * 19 * 3931
|
|
301493
|
47,356480437
|
2^2 * 19 * 3967
|
|
152039
|
47,356581907
|
2 * 19 * 4001
|
|
152267
|
47,356599635
|
2 * 19 * 4007
|
|
152723
|
47,356634931
|
2 * 19 * 4019
|
|
305597
|
47,356640794
|
2^2 * 19 * 4021
|
|
308333
|
47,356745326
|
2^2 * 19 * 4057
|
|
155003
|
47,356808299
|
2 * 19 * 4079
|
|
317453
|
47,357080756
|
2^2 * 19 * 4177
|
|
160019
|
47,357172318
|
2 * 19 * 4211
|
|
161159
|
47,357251889
|
2 * 19 * 4241
|
|
323837
|
47,357304315
|
2^2 * 19 * 4261
|
|
331589
|
47,357564206
|
2^2 * 19 * 4363
|
|
11657
|
47,357584077
|
2^3 * 31 * 47
|
|
361337
|
47,357584077
|
2^3 * 31^2 * 47
|
|
167087
|
47,357648157
|
2 * 19 * 4397
|
|
167543
|
47,357677478
|
2 * 19 * 4409
|
|
337517
|
47,357754892
|
2^2 * 19 * 4441
|
|
337973
|
47,357769283
|
2^2 * 19 * 4447
|
|
170279
|
47,357850104
|
2 * 19 * 4481
|
|
340709
|
47,35785482
|
2^2 * 19 * 4483
|
|
342989
|
47,357925059
|
2^2 * 19 * 4513
|
|
172787
|
47,358003542
|
2 * 19 * 4547
|
|
348917
|
47,358103383
|
2^2 * 19 * 4591
|
|
349373
|
47,35811685
|
2^2 * 19 * 4597
|
|
349829
|
47,358130281
|
2^2 * 19 * 4603
|
|
176207
|
47,358205736
|
2 * 19 * 4637
|
|
178259
|
47,358323329
|
2 * 19 * 4691
|
|
180539
|
47,358450852
|
2 * 19 * 4751
|
|
183047
|
47,358587459
|
2 * 19 * 4817
|
|
185099
|
47,358696474
|
2 * 19 * 4871
|
|
185327
|
47,358708438
|
2 * 19 * 4877
|
|
372629
|
47,358759943
|
2^2 * 19 * 4903
|
|
187379
|
47,358814802
|
2 * 19 * 4931
|
|
374909
|
47,358818697
|
2^2 * 19 * 4933
|
|
379013
|
47,358922673
|
2^2 * 19 * 4987
|
|
380837
|
47,358968165
|
2^2 * 19 * 5011
|
|
381749
|
47,358990748
|
2^2 * 19 * 5023
|
|
193763
|
47,359131305
|
2 * 19 * 5099
|
|
387677
|
47,359134948
|
2^2 * 19 * 5101
|
|
388133
|
47,359145858
|
2^2 * 19 * 5107
|
|
196499
|
47,359260654
|
2 * 19 * 5171
|
|
397253
|
47,359358795
|
2^2 * 19 * 5227
|
|
201287
|
47,359478553
|
2 * 19 * 5297
|
|
201743
|
47,359498766
|
2 * 19 * 5309
|
|
203339
|
47,359568797
|
2 * 19 * 5351
|
|
440579
|
47,359604883
|
2 * 43 * 47 * 109
|
|
204707
|
47,359627954
|
2 * 19 * 5387
|
|
205847
|
47,359676651
|
2 * 19 * 5417
|
|
449699
|
47,359783677
|
2 * 37 * 59 * 103
|
|
209039
|
47,359810178
|
2 * 19 * 5501
|
|
209267
|
47,35981956
|
2 * 19 * 5507
|
|
419597
|
47,359841371
|
2^2 * 19 * 5521
|
|
422789
|
47,359906147
|
2^2 * 19 * 5563
|
|
424157
|
47,359933609
|
2^2 * 19 * 5581
|
|
214283
|
47,360020907
|
2 * 19 * 5639
|
|
214967
|
47,360047635
|
2 * 19 * 5657
|
|
436013
|
47,360164399
|
2^2 * 19 * 5737
|
|
220667
|
47,360263928
|
2 * 19 * 5807
|
|
442397
|
47,360283547
|
2^2 * 19 * 5821
|
|
444677
|
47,360325271
|
2^2 * 19 * 5851
|
|
222947
|
47,360347349
|
2 * 19 * 5867
|
|
223403
|
47,360363828
|
2 * 19 * 5879
|
|
225227
|
47,36042908
|
2 * 19 * 5927
|
|
225683
|
47,360445228
|
2 * 19 * 5939
|
|
228419
|
47,360540763
|
2 * 19 * 6011
|
|
461093
|
47,3606135
|
2^2 * 19 * 6067
|
|
231839
|
47,36065701
|
2 * 19 * 6101
|
|
467477
|
47,360720123
|
2^2 * 19 * 6151
|
|
468389
|
47,360735117
|
2^2 * 19 * 6163
|
|
236399
|
47,360806775
|
2 * 19 * 6221
|
|
237767
|
47,360850584
|
2 * 19 * 6257
|
|
238223
|
47,360865075
|
2 * 19 * 6269
|
|
240047
|
47,36092249
|
2 * 19 * 6317
|
|
240503
|
47,360936707
|
2 * 19 * 6329
|
|
241643
|
47,360972016
|
2 * 19 * 6359
|
|
487997
|
47,361043943
|
2^2 * 19 * 6421
|
|
490277
|
47,36107825
|
2^2 * 19 * 6451
|
|
247799
|
47,361157071
|
2 * 19 * 6521
|
|
499397
|
47,361212345
|
2^2 * 19 * 6571
|
|
499853
|
47,361218921
|
2^2 * 19 * 6577
|
|
264443
|
47,361614267
|
2 * 19 * 6959
|
|
264899
|
47,361625984
|
2 * 19 * 6971
|
|
270143
|
47,36175789
|
2 * 19 * 7109
|
|
273107
|
47,361830205
|
2 * 19 * 7187
|
|
274019
|
47,361852141
|
2 * 19 * 7211
|
|
283139
|
47,362063729
|
2 * 19 * 7451
|
|
284507
|
47,362094297
|
2 * 19 * 7487
|
|
286103
|
47,36212959
|
2 * 19 * 7529
|
|
288383
|
47,362179332
|
2 * 19 * 7589
|
|
289067
|
47,362194101
|
2 * 19 * 7607
|
|
290663
|
47,362228293
|
2 * 19 * 7649
|
|
297503
|
47,362370673
|
2 * 19 * 7829
|
|
300239
|
47,362425809
|
2 * 19 * 7901
|
|
305483
|
47,362528725
|
2 * 19 * 8039
|
|
307079
|
47,36255935
|
2 * 19 * 8081
|
|
308219
|
47,36258103
|
2 * 19 * 8111
|
|
308447
|
47,362585347
|
2 * 19 * 8117
|
|
312779
|
47,362666172
|
2 * 19 * 8231
|
|
315059
|
47,362707819
|
2 * 19 * 8291
|
|
318023
|
47,362761067
|
2 * 19 * 8369
|
|
320303
|
47,362801356
|
2 * 19 * 8429
|
|
326687
|
47,362911175
|
2 * 19 * 8597
|
|
327827
|
47,362930335
|
2 * 19 * 8627
|
|
330563
|
47,362975781
|
2 * 19 * 8699
|
|
332159
|
47,363001945
|
2 * 19 * 8741
|
|
334667
|
47,363042556
|
2 * 19 * 8807
|
|
335123
|
47,363049874
|
2 * 19 * 8819
|
|
335579
|
47,363057173
|
2 * 19 * 8831
|
|
335807
|
47,363060815
|
2 * 19 * 8837
|
|
336263
|
47,363068084
|
2 * 19 * 8849
|
|
341963
|
47,36315731
|
2 * 19 * 8999
|
|
343559
|
47,363181763
|
2 * 19 * 9041
|
|
344243
|
47,363192173
|
2 * 19 * 9059
|
|
353819
|
47,363333691
|
2 * 19 * 9311
|
|
356327
|
47,363369499
|
2 * 19 * 9377
|
|
358607
|
47,363401616
|
2 * 19 * 9437
|
|
359747
|
47,363417522
|
2 * 19 * 9467
|
|
361799
|
47,363445901
|
2 * 19 * 9521
|
|
365903
|
47,363501703
|
2 * 19 * 9629
|
|
370463
|
47,363562255
|
2 * 19 * 9749
|
|
372059
|
47,363583097
|
2 * 19 * 9791
|
|
375707
|
47,363630072
|
2 * 19 * 9887
|
|
380267
|
47,363687524
|
2 * 19 * 10007
|
|
383459
|
47,363726927
|
2 * 19 * 10091
|
|
385739
|
47,363754673
|
2 * 19 * 10151
|
|
392807
|
47,363838638
|
2 * 19 * 10337
|
|
401243
|
47,363934982
|
2 * 19 * 10559
|
|
402383
|
47,363947691
|
2 * 19 * 10589
|
|
403979
|
47,363965364
|
2 * 19 * 10631
|
|
405347
|
47,363980402
|
2 * 19 * 10667
|
|
412187
|
47,364054092
|
2 * 19 * 10847
|
|
413783
|
47,364070936
|
2 * 19 * 10889
|
|
415607
|
47,364090028
|
2 * 19 * 10937
|
|
417203
|
47,364106596
|
2 * 19 * 10979
|
|
424727
|
47,364183026
|
2 * 19 * 11177
|
|
427919
|
47,364214639
|
2 * 19 * 11261
|
|
431339
|
47,364247991
|
2 * 19 * 11351
|
|
432023
|
47,364254598
|
2 * 19 * 11369
|
|
443879
|
47,364365884
|
2 * 19 * 11681
|
|
447527
|
47,36439894
|
2 * 19 * 11777
|
|
447983
|
47,364403034
|
2 * 19 * 11789
|
|
448667
|
47,36440916
|
2 * 19 * 11807
|
|
452087
|
47,364439509
|
2 * 19 * 11897
|
|
453227
|
47,364449524
|
2 * 19 * 11927
|
|
453683
|
47,364453516
|
2 * 19 * 11939
|
|
454823
|
47,36446346
|
2 * 19 * 11969
|
|
457559
|
47,364487125
|
2 * 19 * 12041
|
|
474659
|
47,364628849
|
2 * 19 * 12491
|
|
476027
|
47,364639747
|
2 * 19 * 12527
|
|
477623
|
47,364652382
|
2 * 19 * 12569
|
|
480587
|
47,364675625
|
2 * 19 * 12647
|
|
481043
|
47,364679176
|
2 * 19 * 12659
|
|
490619
|
47,36475221
|
2 * 19 * 12911
|
|
494267
|
47,364779289
|
2 * 19 * 13007
|
|
498143
|
47,364807625
|
2 * 19 * 13109
|
|
498599
|
47,36481093
|
2 * 19 * 13121
|
|
499739
|
47,364819165
|
2 * 19 * 13151
|
|
24593
|
47,364996747
|
2^4 * 29 * 53
|
|
98369
|
47,364996747
|
2^6 * 29 * 53
|
|
393473
|
47,364996747
|
2^8 * 29 * 53
|
|
1217
|
47,368421053
|
2^6 * 19
|
|
19457
|
47,368421053
|
2^10 * 19
|
|
27437
|
47,368421053
|
2^2 * 19^3
|