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Liste des premiers dont l'abondance est 30,29...
Les premiers listés ci-dessous sont inférieurs à 501089 et triés par ordre croissant d'abondance.
Le pic situé à 30,29 contient 189 premiers avec p - 1 multiple de 2, 3 et 11.
Pour les premiers ne contenant que ces facteurs, l 'abondance est égale à 30,303030303 et se calcule à l'aide de 10/ 33.
Il n'y a que cinq exceptions en bleu ,4 premiers résonnent avec 2, 3 et 17 mais 299479 résonne avec 2, 3 et 19.
|
Premier
|
Abondance
|
Décomposition du premier - 1
|
|
309013
|
30,290085822
|
2^2 * 3 * 11 * 2341
|
|
155167
|
30,290140881
|
2 * 3 * 11 * 2351
|
|
310333
|
30,290140881
|
2^2 * 3 * 11 * 2351
|
|
156487
|
30,290249607
|
2 * 3 * 11 * 2371
|
|
470647
|
30,290281868
|
2 * 3^2 * 11 * 2377
|
|
471439
|
30,290303285
|
2 * 3^2 * 11 * 2381
|
|
157279
|
30,290313966
|
2 * 3 * 11 * 2383
|
|
315349
|
30,290345904
|
2^2 * 3 * 11 * 2389
|
|
482527
|
30,29059574
|
2 * 3^2 * 11 * 2437
|
|
322213
|
30,290616116
|
2^2 * 3 * 11 * 2441
|
|
161503
|
30,290646555
|
2 * 3 * 11 * 2447
|
|
324589
|
30,290706989
|
2^2 * 3 * 11 * 2459
|
|
11833
|
30,290736984
|
2^3 * 3 * 17 * 29
|
|
17749
|
30,290736984
|
2^2 * 3^2 * 17 * 29
|
|
50287
|
30,290736984
|
2 * 3 * 17^2 * 29
|
|
79867
|
30,290736984
|
2 * 3^4 * 17 * 29
|
|
162823
|
30,290746951
|
2 * 3 * 11 * 2467
|
|
326437
|
30,290776753
|
2^2 * 3 * 11 * 2473
|
|
163483
|
30,29079654
|
2 * 3 * 11 * 2477
|
|
499159
|
30,291010061
|
2 * 3^2 * 11 * 2521
|
|
167047
|
30,291057553
|
2 * 3 * 11 * 2531
|
|
334093
|
30,291057553
|
2^2 * 3 * 11 * 2531
|
|
335149
|
30,291095277
|
2^2 * 3 * 11 * 2539
|
|
340429
|
30,291280388
|
2^2 * 3 * 11 * 2579
|
|
171007
|
30,291334807
|
2 * 3 * 11 * 2591
|
|
172987
|
30,291468674
|
2 * 3 * 11 * 2621
|
|
173779
|
30,291521366
|
2 * 3 * 11 * 2633
|
|
174703
|
30,291582237
|
2 * 3 * 11 * 2647
|
|
350989
|
30,291633902
|
2^2 * 3 * 11 * 2659
|
|
175759
|
30,29165102
|
2 * 3 * 11 * 2663
|
|
351517
|
30,29165102
|
2^2 * 3 * 11 * 2663
|
|
177739
|
30,291777785
|
2 * 3 * 11 * 2693
|
|
358909
|
30,291885386
|
2^2 * 3 * 11 * 2719
|
|
360229
|
30,291926225
|
2^2 * 3 * 11 * 2729
|
|
180247
|
30,291934356
|
2 * 3 * 11 * 2731
|
|
180907
|
30,291974838
|
2 * 3 * 11 * 2741
|
|
363397
|
30,292023027
|
2^2 * 3 * 11 * 2753
|
|
183283
|
30,292118157
|
2 * 3 * 11 * 2777
|
|
368149
|
30,292165108
|
2^2 * 3 * 11 * 2789
|
|
184999
|
30,292219375
|
2 * 3 * 11 * 2803
|
|
369997
|
30,292219375
|
2^2 * 3 * 11 * 2803
|
|
187639
|
30,292371481
|
2 * 3 * 11 * 2843
|
|
188563
|
30,292423712
|
2 * 3 * 11 * 2857
|
|
188827
|
30,292438541
|
2 * 3 * 11 * 2861
|
|
377653
|
30,292438541
|
2^2 * 3 * 11 * 2861
|
|
190543
|
30,29253393
|
2 * 3 * 11 * 2887
|
|
191599
|
30,292591781
|
2 * 3 * 11 * 2903
|
|
193183
|
30,292677372
|
2 * 3 * 11 * 2927
|
|
299479
|
30,292709314
|
2 * 3 * 19 * 37 * 71
|
|
194899
|
30,292768525
|
2 * 3 * 11 * 2953
|
|
389797
|
30,292768525
|
2^2 * 3 * 11 * 2953
|
|
195163
|
30,292782406
|
2 * 3 * 11 * 2957
|
|
391117
|
30,292803158
|
2^2 * 3 * 11 * 2963
|
|
196087
|
30,292830697
|
2 * 3 * 11 * 2971
|
|
398509
|
30,292992863
|
2^2 * 3 * 11 * 3019
|
|
200443
|
30,293052354
|
2 * 3 * 11 * 3037
|
|
411709
|
30,293314679
|
2^2 * 3 * 11 * 3119
|
|
208759
|
30,293449832
|
2 * 3 * 11 * 3163
|
|
419893
|
30,293504044
|
2^2 * 3 * 11 * 3181
|
|
422797
|
30,293569476
|
2^2 * 3 * 11 * 3203
|
|
212587
|
30,293622346
|
2 * 3 * 11 * 3221
|
|
426229
|
30,293645654
|
2^2 * 3 * 11 * 3229
|
|
429397
|
30,293714893
|
2^2 * 3 * 11 * 3253
|
|
435733
|
30,293850348
|
2^2 * 3 * 11 * 3301
|
|
438637
|
30,293911124
|
2^2 * 3 * 11 * 3323
|
|
439429
|
30,29392756
|
2^2 * 3 * 11 * 3329
|
|
219847
|
30,293933026
|
2 * 3 * 11 * 3331
|
|
439693
|
30,293933026
|
2^2 * 3 * 11 * 3331
|
|
220903
|
30,293976514
|
2 * 3 * 11 * 3347
|
|
443389
|
30,294008859
|
2^2 * 3 * 11 * 3359
|
|
221827
|
30,294014227
|
2 * 3 * 11 * 3361
|
|
222619
|
30,294046304
|
2 * 3 * 11 * 3373
|
|
224863
|
30,294135959
|
2 * 3 * 11 * 3407
|
|
453157
|
30,294203321
|
2^2 * 3 * 11 * 3433
|
|
455269
|
30,294244269
|
2^2 * 3 * 11 * 3449
|
|
228427
|
30,294274732
|
2 * 3 * 11 * 3461
|
|
228559
|
30,294279789
|
2 * 3 * 11 * 3463
|
|
457117
|
30,294279789
|
2^2 * 3 * 11 * 3463
|
|
460813
|
30,294349974
|
2^2 * 3 * 11 * 3491
|
|
463453
|
30,29439942
|
2^2 * 3 * 11 * 3511
|
|
466357
|
30,294453165
|
2^2 * 3 * 11 * 3533
|
|
234103
|
30,294487018
|
2 * 3 * 11 * 3547
|
|
236479
|
30,294572857
|
2 * 3 * 11 * 3583
|
|
238723
|
30,294652357
|
2 * 3 * 11 * 3617
|
|
239119
|
30,294666232
|
2 * 3 * 11 * 3623
|
|
240043
|
30,294698428
|
2 * 3 * 11 * 3637
|
|
242419
|
30,294780091
|
2 * 3 * 11 * 3673
|
|
487213
|
30,294820325
|
2^2 * 3 * 11 * 3691
|
|
244003
|
30,294833649
|
2 * 3 * 11 * 3697
|
|
245983
|
30,294899627
|
2 * 3 * 11 * 3727
|
|
492757
|
30,294912695
|
2^2 * 3 * 11 * 3733
|
|
496453
|
30,294973129
|
2^2 * 3 * 11 * 3761
|
|
497509
|
30,294990231
|
2^2 * 3 * 11 * 3769
|
|
500677
|
30,295041104
|
2^2 * 3 * 11 * 3793
|
|
252319
|
30,295103798
|
2 * 3 * 11 * 3823
|
|
252979
|
30,295124477
|
2 * 3 * 11 * 3833
|
|
254299
|
30,295165514
|
2 * 3 * 11 * 3853
|
|
254959
|
30,295185874
|
2 * 3 * 11 * 3863
|
|
256147
|
30,295222256
|
2 * 3 * 11 * 3881
|
|
257863
|
30,295274216
|
2 * 3 * 11 * 3907
|
|
258127
|
30,295282149
|
2 * 3 * 11 * 3911
|
|
258919
|
30,29530585
|
2 * 3 * 11 * 3923
|
|
261823
|
30,295391526
|
2 * 3 * 11 * 3967
|
|
264463
|
30,29546778
|
2 * 3 * 11 * 4007
|
|
267763
|
30,295560983
|
2 * 3 * 11 * 4057
|
|
268819
|
30,295590325
|
2 * 3 * 11 * 4073
|
|
272383
|
30,295687674
|
2 * 3 * 11 * 4127
|
|
280699
|
30,295905208
|
2 * 3 * 11 * 4253
|
|
281227
|
30,295918585
|
2 * 3 * 11 * 4261
|
|
281887
|
30,295935236
|
2 * 3 * 11 * 4271
|
|
282019
|
30,295938557
|
2 * 3 * 11 * 4273
|
|
282679
|
30,295955115
|
2 * 3 * 11 * 4283
|
|
286243
|
30,296043208
|
2 * 3 * 11 * 4337
|
|
293107
|
30,296206833
|
2 * 3 * 11 * 4441
|
|
293767
|
30,296222163
|
2 * 3 * 11 * 4451
|
|
295879
|
30,29627076
|
2 * 3 * 11 * 4483
|
|
301027
|
30,296386359
|
2 * 3 * 11 * 4561
|
|
301423
|
30,296395087
|
2 * 3 * 11 * 4567
|
|
303007
|
30,296429774
|
2 * 3 * 11 * 4591
|
|
307759
|
30,29653169
|
2 * 3 * 11 * 4663
|
|
313567
|
30,29665206
|
2 * 3 * 11 * 4751
|
|
316339
|
30,296707952
|
2 * 3 * 11 * 4793
|
|
317923
|
30,296739452
|
2 * 3 * 11 * 4817
|
|
323599
|
30,296849795
|
2 * 3 * 11 * 4903
|
|
325447
|
30,29688489
|
2 * 3 * 11 * 4931
|
|
327163
|
30,296917124
|
2 * 3 * 11 * 4957
|
|
327823
|
30,296929431
|
2 * 3 * 11 * 4967
|
|
329143
|
30,296953898
|
2 * 3 * 11 * 4987
|
|
330199
|
30,296973331
|
2 * 3 * 11 * 5003
|
|
331519
|
30,296997448
|
2 * 3 * 11 * 5023
|
|
333367
|
30,297030891
|
2 * 3 * 11 * 5051
|
|
335347
|
30,297066314
|
2 * 3 * 11 * 5081
|
|
335743
|
30,297073348
|
2 * 3 * 11 * 5087
|
|
336667
|
30,297089697
|
2 * 3 * 11 * 5101
|
|
341287
|
30,297170115
|
2 * 3 * 11 * 5171
|
|
345379
|
30,297239546
|
2 * 3 * 11 * 5233
|
|
345643
|
30,297243969
|
2 * 3 * 11 * 5237
|
|
347227
|
30,297270366
|
2 * 3 * 11 * 5261
|
|
348547
|
30,29729218
|
2 * 3 * 11 * 5281
|
|
349603
|
30,297309512
|
2 * 3 * 11 * 5297
|
|
355939
|
30,297411347
|
2 * 3 * 11 * 5393
|
|
358447
|
30,297450662
|
2 * 3 * 11 * 5431
|
|
363067
|
30,297521663
|
2 * 3 * 11 * 5501
|
|
363199
|
30,297523665
|
2 * 3 * 11 * 5503
|
|
363463
|
30,297527665
|
2 * 3 * 11 * 5507
|
|
367819
|
30,297592831
|
2 * 3 * 11 * 5573
|
|
369007
|
30,297610337
|
2 * 3 * 11 * 5591
|
|
373363
|
30,297673571
|
2 * 3 * 11 * 5657
|
|
376927
|
30,297724222
|
2 * 3 * 11 * 5711
|
|
379039
|
30,297753787
|
2 * 3 * 11 * 5743
|
|
382867
|
30,297806543
|
2 * 3 * 11 * 5801
|
|
383659
|
30,297817327
|
2 * 3 * 11 * 5813
|
|
384187
|
30,297824491
|
2 * 3 * 11 * 5821
|
|
385639
|
30,297844092
|
2 * 3 * 11 * 5843
|
|
394747
|
30,297963754
|
2 * 3 * 11 * 5981
|
|
399499
|
30,29802402
|
2 * 3 * 11 * 6053
|
|
404779
|
30,298089323
|
2 * 3 * 11 * 6133
|
|
405439
|
30,298097366
|
2 * 3 * 11 * 6143
|
|
405967
|
30,298103782
|
2 * 3 * 11 * 6151
|
|
410323
|
30,298156082
|
2 * 3 * 11 * 6217
|
|
410587
|
30,298159216
|
2 * 3 * 11 * 6221
|
|
412303
|
30,29817949
|
2 * 3 * 11 * 6247
|
|
413887
|
30,298198055
|
2 * 3 * 11 * 6271
|
|
414283
|
30,298202674
|
2 * 3 * 11 * 6277
|
|
419827
|
30,298266425
|
2 * 3 * 11 * 6361
|
|
422203
|
30,298293234
|
2 * 3 * 11 * 6397
|
|
432499
|
30,298406004
|
2 * 3 * 11 * 6553
|
|
434347
|
30,298425679
|
2 * 3 * 11 * 6581
|
|
441607
|
30,298501379
|
2 * 3 * 11 * 6691
|
|
442399
|
30,298509487
|
2 * 3 * 11 * 6703
|
|
446227
|
30,298548269
|
2 * 3 * 11 * 6761
|
|
448207
|
30,298568069
|
2 * 3 * 11 * 6791
|
|
448999
|
30,29857594
|
2 * 3 * 11 * 6803
|
|
455863
|
30,29864301
|
2 * 3 * 11 * 6907
|
|
456523
|
30,298649353
|
2 * 3 * 11 * 6917
|
|
459427
|
30,298677045
|
2 * 3 * 11 * 6961
|
|
460087
|
30,29868329
|
2 * 3 * 11 * 6971
|
|
461407
|
30,298695726
|
2 * 3 * 11 * 6991
|
|
461803
|
30,298699443
|
2 * 3 * 11 * 6997
|
|
462067
|
30,298701917
|
2 * 3 * 11 * 7001
|
|
474343
|
30,298813936
|
2 * 3 * 11 * 7187
|
|
475927
|
30,298827969
|
2 * 3 * 11 * 7211
|
|
476059
|
30,298829134
|
2 * 3 * 11 * 7213
|
|
478039
|
30,298846535
|
2 * 3 * 11 * 7243
|
|
482263
|
30,29888318
|
2 * 3 * 11 * 7307
|
|
485167
|
30,298908003
|
2 * 3 * 11 * 7351
|
|
489127
|
30,298941377
|
2 * 3 * 11 * 7411
|
|
490579
|
30,298953479
|
2 * 3 * 11 * 7433
|
|
493747
|
30,298979637
|
2 * 3 * 11 * 7481
|
|
496123
|
30,298999037
|
2 * 3 * 11 * 7517
|
|
498103
|
30,299015061
|
2 * 3 * 11 * 7547
|
|
499027
|
30,299022496
|
2 * 3 * 11 * 7561
|
|
499819
|
30,299028847
|
2 * 3 * 11 * 7573
|
|
500083
|
30,299030959
|
2 * 3 * 11 * 7577
|