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Liste des premiers dont l'abondance est 30,75...
Les premiers listés ci-dessous sont inférieurs à 501089 et triés par ordre croissant d'abondance.
Le pic situé à 30,75 contient 133 premiers avec p - 1 multiple de 2, 3 et 13.
Pour les premiers ne contenant que ces facteurs, l 'abondance est égale à 30,769230769 et se calcule à l'aide de 4/ 13.
|
Premier
|
Abondance
|
Décomposition du premier - 1
|
|
250693
|
30,750083768
|
2^2 * 3 * 13 * 1607
|
|
376039
|
30,750083768
|
2 * 3^2 * 13 * 1607
|
|
252877
|
30,750249134
|
2^2 * 3 * 13 * 1621
|
|
259429
|
30,750728526
|
2^2 * 3 * 13 * 1663
|
|
130027
|
30,750772922
|
2 * 3 * 13 * 1667
|
|
130183
|
30,750795041
|
2 * 3 * 13 * 1669
|
|
132367
|
30,751099225
|
2 * 3 * 13 * 1697
|
|
397099
|
30,751099225
|
2 * 3^2 * 13 * 1697
|
|
132523
|
30,751120569
|
2 * 3 * 13 * 1699
|
|
397567
|
30,751120569
|
2 * 3^2 * 13 * 1699
|
|
133303
|
30,751226538
|
2 * 3 * 13 * 1709
|
|
268789
|
30,751372829
|
2^2 * 3 * 13 * 1723
|
|
135799
|
30,75155746
|
2 * 3 * 13 * 1741
|
|
271597
|
30,75155746
|
2^2 * 3 * 13 * 1741
|
|
272533
|
30,751618159
|
2^2 * 3 * 13 * 1747
|
|
410203
|
30,751678441
|
2 * 3^2 * 13 * 1753
|
|
277213
|
30,751915501
|
2^2 * 3 * 13 * 1777
|
|
415819
|
30,751915501
|
2 * 3^2 * 13 * 1777
|
|
278149
|
30,751973769
|
2^2 * 3 * 13 * 1783
|
|
139387
|
30,752012397
|
2 * 3 * 13 * 1787
|
|
280957
|
30,752146244
|
2^2 * 3 * 13 * 1801
|
|
426583
|
30,75235242
|
2 * 3^2 * 13 * 1823
|
|
432199
|
30,752571738
|
2 * 3^2 * 13 * 1847
|
|
290317
|
30,752697061
|
2^2 * 3 * 13 * 1861
|
|
291253
|
30,752750196
|
2^2 * 3 * 13 * 1867
|
|
291877
|
30,752785429
|
2^2 * 3 * 13 * 1871
|
|
146407
|
30,752837998
|
2 * 3 * 13 * 1877
|
|
146563
|
30,752855447
|
2 * 3 * 13 * 1879
|
|
439687
|
30,752855447
|
2 * 3^2 * 13 * 1879
|
|
442027
|
30,752942135
|
2 * 3^2 * 13 * 1889
|
|
148279
|
30,753044956
|
2 * 3 * 13 * 1901
|
|
296557
|
30,753044956
|
2^2 * 3 * 13 * 1901
|
|
148747
|
30,753095882
|
2 * 3 * 13 * 1907
|
|
301237
|
30,753296419
|
2^2 * 3 * 13 * 1931
|
|
304357
|
30,753459764
|
2^2 * 3 * 13 * 1951
|
|
311533
|
30,753823042
|
2^2 * 3 * 13 * 1997
|
|
312469
|
30,753869196
|
2^2 * 3 * 13 * 2003
|
|
468703
|
30,753869196
|
2 * 3^2 * 13 * 2003
|
|
313717
|
30,753930306
|
2^2 * 3 * 13 * 2011
|
|
157327
|
30,753975821
|
2 * 3 * 13 * 2017
|
|
316213
|
30,75405108
|
2^2 * 3 * 13 * 2027
|
|
474319
|
30,75405108
|
2 * 3^2 * 13 * 2027
|
|
474787
|
30,754066042
|
2 * 3^2 * 13 * 2029
|
|
320269
|
30,754243321
|
2^2 * 3 * 13 * 2053
|
|
321829
|
30,75431597
|
2^2 * 3 * 13 * 2063
|
|
482743
|
30,75431597
|
2 * 3^2 * 13 * 2063
|
|
324637
|
30,754444978
|
2^2 * 3 * 13 * 2081
|
|
324949
|
30,754459175
|
2^2 * 3 * 13 * 2083
|
|
487423
|
30,754459175
|
2 * 3^2 * 13 * 2083
|
|
162787
|
30,754487487
|
2 * 3 * 13 * 2087
|
|
488827
|
30,754501602
|
2 * 3^2 * 13 * 2089
|
|
491167
|
30,754571774
|
2 * 3^2 * 13 * 2099
|
|
329317
|
30,754655103
|
2^2 * 3 * 13 * 2111
|
|
329629
|
30,754668899
|
2^2 * 3 * 13 * 2113
|
|
494443
|
30,754668899
|
2 * 3^2 * 13 * 2113
|
|
166063
|
30,754778336
|
2 * 3 * 13 * 2129
|
|
166219
|
30,7547919
|
2 * 3 * 13 * 2131
|
|
333997
|
30,75485934
|
2^2 * 3 * 13 * 2141
|
|
168559
|
30,754992347
|
2 * 3 * 13 * 2161
|
|
172147
|
30,755289115
|
2 * 3 * 13 * 2207
|
|
344293
|
30,755289115
|
2^2 * 3 * 13 * 2207
|
|
345229
|
30,755326914
|
2^2 * 3 * 13 * 2213
|
|
174487
|
30,755476084
|
2 * 3 * 13 * 2237
|
|
351157
|
30,755561631
|
2^2 * 3 * 13 * 2251
|
|
353653
|
30,755658105
|
2^2 * 3 * 13 * 2267
|
|
176983
|
30,755670068
|
2 * 3 * 13 * 2269
|
|
179167
|
30,755835371
|
2 * 3 * 13 * 2297
|
|
180259
|
30,75591652
|
2 * 3 * 13 * 2311
|
|
363949
|
30,756042072
|
2^2 * 3 * 13 * 2333
|
|
182443
|
30,756075904
|
2 * 3 * 13 * 2339
|
|
182599
|
30,756087142
|
2 * 3 * 13 * 2341
|
|
183067
|
30,756120743
|
2 * 3 * 13 * 2347
|
|
366133
|
30,756120743
|
2^2 * 3 * 13 * 2347
|
|
369877
|
30,756253447
|
2^2 * 3 * 13 * 2371
|
|
370813
|
30,756286204
|
2^2 * 3 * 13 * 2377
|
|
186343
|
30,756351225
|
2 * 3 * 13 * 2389
|
|
187123
|
30,756404912
|
2 * 3 * 13 * 2399
|
|
188527
|
30,75650043
|
2 * 3 * 13 * 2417
|
|
380797
|
30,756625595
|
2^2 * 3 * 13 * 2441
|
|
191803
|
30,756717865
|
2 * 3 * 13 * 2459
|
|
386413
|
30,756808795
|
2^2 * 3 * 13 * 2477
|
|
197419
|
30,757073823
|
2 * 3 * 13 * 2531
|
|
394837
|
30,757073823
|
2^2 * 3 * 13 * 2531
|
|
198043
|
30,757112128
|
2 * 3 * 13 * 2539
|
|
396709
|
30,75713119
|
2^2 * 3 * 13 * 2543
|
|
198823
|
30,75715967
|
2 * 3 * 13 * 2549
|
|
199447
|
30,757197437
|
2 * 3 * 13 * 2557
|
|
201163
|
30,757300086
|
2 * 3 * 13 * 2579
|
|
202099
|
30,757355342
|
2 * 3 * 13 * 2591
|
|
404197
|
30,757355342
|
2^2 * 3 * 13 * 2591
|
|
204439
|
30,757491269
|
2 * 3 * 13 * 2621
|
|
410749
|
30,757544772
|
2^2 * 3 * 13 * 2633
|
|
206467
|
30,757606579
|
2 * 3 * 13 * 2647
|
|
416677
|
30,757711027
|
2^2 * 3 * 13 * 2671
|
|
208807
|
30,757736847
|
2 * 3 * 13 * 2677
|
|
209743
|
30,75778814
|
2 * 3 * 13 * 2689
|
|
210523
|
30,757830536
|
2 * 3 * 13 * 2699
|
|
423229
|
30,757889365
|
2^2 * 3 * 13 * 2713
|
|
213019
|
30,757964116
|
2 * 3 * 13 * 2731
|
|
213799
|
30,75800522
|
2 * 3 * 13 * 2741
|
|
427597
|
30,75800522
|
2^2 * 3 * 13 * 2741
|
|
429469
|
30,758054151
|
2^2 * 3 * 13 * 2753
|
|
215827
|
30,7581107
|
2 * 3 * 13 * 2767
|
|
216607
|
30,758150744
|
2 * 3 * 13 * 2777
|
|
435397
|
30,758206323
|
2^2 * 3 * 13 * 2791
|
|
218479
|
30,758245681
|
2 * 3 * 13 * 2801
|
|
436957
|
30,758245681
|
2^2 * 3 * 13 * 2801
|
|
442573
|
30,758385076
|
2^2 * 3 * 13 * 2837
|
|
222379
|
30,758438335
|
2 * 3 * 13 * 2851
|
|
224563
|
30,758543298
|
2 * 3 * 13 * 2879
|
|
451933
|
30,758609702
|
2^2 * 3 * 13 * 2897
|
|
452869
|
30,758631654
|
2^2 * 3 * 13 * 2903
|
|
226903
|
30,758653516
|
2 * 3 * 13 * 2909
|
|
455053
|
30,758682524
|
2^2 * 3 * 13 * 2917
|
|
228307
|
30,758718562
|
2 * 3 * 13 * 2927
|
|
456613
|
30,758718562
|
2^2 * 3 * 13 * 2927
|
|
230647
|
30,758825213
|
2 * 3 * 13 * 2957
|
|
233923
|
30,758970939
|
2 * 3 * 13 * 2999
|
|
468157
|
30,758977777
|
2^2 * 3 * 13 * 3001
|
|
469717
|
30,759011828
|
2^2 * 3 * 13 * 3011
|
|
235483
|
30,759038907
|
2 * 3 * 13 * 3019
|
|
471589
|
30,759052393
|
2^2 * 3 * 13 * 3023
|
|
238759
|
30,75917875
|
2 * 3 * 13 * 3061
|
|
477517
|
30,75917875
|
2^2 * 3 * 13 * 3061
|
|
478453
|
30,759198415
|
2^2 * 3 * 13 * 3067
|
|
240943
|
30,759269866
|
2 * 3 * 13 * 3089
|
|
244687
|
30,75942228
|
2 * 3 * 13 * 3137
|
|
247183
|
30,759521324
|
2 * 3 * 13 * 3169
|
|
248119
|
30,759557952
|
2 * 3 * 13 * 3181
|
|
248587
|
30,759576163
|
2 * 3 * 13 * 3187
|
|
499669
|
30,759624391
|
2^2 * 3 * 13 * 3203
|
|
254047
|
30,759783661
|
2 * 3 * 13 * 3257
|
|
257947
|
30,759926496
|
2 * 3 * 13 * 3307
|