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Liste des premiers dont l'abondance est 45,45...
Les premiers listés ci-dessous sont inférieurs à 501089 et triés par ordre croissant d'abondance.
Le pic situé à 45,45 contient 179 premiers avec p - 1 multiple de 2 et 11.
Pour les premiers ne contenant que ces facteurs (2 et 11), l 'abondance est égale à 45,454545455 et se calcule à l'aide de 5/ 11.
Avec toutefois deux exceptions en bleu en fin de tableau.
|
Premier
|
Abondance
|
Décomposition du premier - 1
|
|
220859
|
45,450017658
|
2 * 11 * 10039
|
|
445853
|
45,450059661
|
2^2 * 11 * 10133
|
|
223103
|
45,4500632
|
2 * 11 * 10141
|
|
447173
|
45,450072903
|
2^2 * 11 * 10163
|
|
225347
|
45,450107834
|
2 * 11 * 10243
|
|
451397
|
45,450114755
|
2^2 * 11 * 10259
|
|
226007
|
45,450120793
|
2 * 11 * 10273
|
|
455093
|
45,450150739
|
2^2 * 11 * 10343
|
|
458789
|
45,450186143
|
2^2 * 11 * 10427
|
|
460373
|
45,450201142
|
2^2 * 11 * 10463
|
|
461957
|
45,450216038
|
2^2 * 11 * 10499
|
|
465917
|
45,450252835
|
2^2 * 11 * 10589
|
|
234323
|
45,450277823
|
2 * 11 * 10651
|
|
234587
|
45,450282626
|
2 * 11 * 10663
|
|
472253
|
45,450310427
|
2^2 * 11 * 10733
|
|
477797
|
45,450359568
|
2^2 * 11 * 10859
|
|
238943
|
45,450360338
|
2 * 11 * 10861
|
|
478853
|
45,450368799
|
2^2 * 11 * 10883
|
|
239999
|
45,450378753
|
2 * 11 * 10909
|
|
240659
|
45,45039018
|
2 * 11 * 10939
|
|
241847
|
45,450410592
|
2 * 11 * 10993
|
|
486509
|
45,450434525
|
2^2 * 11 * 11057
|
|
487829
|
45,450445649
|
2^2 * 11 * 11087
|
|
244619
|
45,450457448
|
2 * 11 * 11119
|
|
245279
|
45,450468448
|
2 * 11 * 11149
|
|
491789
|
45,450478662
|
2^2 * 11 * 11177
|
|
247259
|
45,450501096
|
2 * 11 * 11239
|
|
494693
|
45,450502535
|
2^2 * 11 * 11243
|
|
248579
|
45,450522572
|
2 * 11 * 11299
|
|
500237
|
45,450547342
|
2^2 * 11 * 11369
|
|
260987
|
45,450713831
|
2 * 11 * 11863
|
|
265079
|
45,45077298
|
2 * 11 * 12049
|
|
265607
|
45,450780479
|
2 * 11 * 12073
|
|
267587
|
45,450808338
|
2 * 11 * 12163
|
|
268643
|
45,450823028
|
2 * 11 * 12211
|
|
272603
|
45,450877103
|
2 * 11 * 12391
|
|
272999
|
45,450882424
|
2 * 11 * 12409
|
|
273527
|
45,450889495
|
2 * 11 * 12433
|
|
276827
|
45,450933077
|
2 * 11 * 12583
|
|
277223
|
45,450938237
|
2 * 11 * 12601
|
|
279863
|
45,450972265
|
2 * 11 * 12721
|
|
281579
|
45,450994041
|
2 * 11 * 12799
|
|
282239
|
45,451002346
|
2 * 11 * 12829
|
|
282767
|
45,451008961
|
2 * 11 * 12853
|
|
285539
|
45,451043294
|
2 * 11 * 12979
|
|
286199
|
45,45105137
|
2 * 11 * 13009
|
|
287387
|
45,451065814
|
2 * 11 * 13063
|
|
288179
|
45,451075377
|
2 * 11 * 13099
|
|
289763
|
45,451094346
|
2 * 11 * 13171
|
|
290027
|
45,451097488
|
2 * 11 * 13183
|
|
293459
|
45,451137812
|
2 * 11 * 13339
|
|
294383
|
45,451148508
|
2 * 11 * 13381
|
|
295703
|
45,451163672
|
2 * 11 * 13441
|
|
300719
|
45,45122008
|
2 * 11 * 13669
|
|
301247
|
45,451225908
|
2 * 11 * 13693
|
|
301643
|
45,451230266
|
2 * 11 * 13711
|
|
301907
|
45,451233165
|
2 * 11 * 13723
|
|
305339
|
45,451270395
|
2 * 11 * 13879
|
|
305867
|
45,451276049
|
2 * 11 * 13903
|
|
306263
|
45,451280276
|
2 * 11 * 13921
|
|
307187
|
45,451290098
|
2 * 11 * 13963
|
|
308639
|
45,451305413
|
2 * 11 * 14029
|
|
311279
|
45,451332892
|
2 * 11 * 14149
|
|
311807
|
45,451338332
|
2 * 11 * 14173
|
|
312863
|
45,451349157
|
2 * 11 * 14221
|
|
317483
|
45,45139567
|
2 * 11 * 14431
|
|
319727
|
45,451417776
|
2 * 11 * 14533
|
|
320387
|
45,45142422
|
2 * 11 * 14563
|
|
321047
|
45,451430636
|
2 * 11 * 14593
|
|
323027
|
45,451449729
|
2 * 11 * 14683
|
|
326063
|
45,451478553
|
2 * 11 * 14821
|
|
328439
|
45,45150074
|
2 * 11 * 14929
|
|
329627
|
45,451511713
|
2 * 11 * 14983
|
|
330287
|
45,451517776
|
2 * 11 * 15013
|
|
330683
|
45,451521401
|
2 * 11 * 15031
|
|
334247
|
45,451553646
|
2 * 11 * 15193
|
|
334379
|
45,451554827
|
2 * 11 * 15199
|
|
336887
|
45,451577091
|
2 * 11 * 15313
|
|
337283
|
45,451580576
|
2 * 11 * 15331
|
|
338207
|
45,451588677
|
2 * 11 * 15373
|
|
339659
|
45,451601317
|
2 * 11 * 15439
|
|
342299
|
45,451624024
|
2 * 11 * 15559
|
|
344543
|
45,451643051
|
2 * 11 * 15661
|
|
346259
|
45,451657435
|
2 * 11 * 15739
|
|
350087
|
45,451689014
|
2 * 11 * 15913
|
|
350219
|
45,45169009
|
2 * 11 * 15919
|
|
351803
|
45,451702947
|
2 * 11 * 15991
|
|
354443
|
45,451724118
|
2 * 11 * 16111
|
|
357083
|
45,451744977
|
2 * 11 * 16231
|
|
359327
|
45,451762466
|
2 * 11 * 16333
|
|
359987
|
45,451767569
|
2 * 11 * 16363
|
|
361967
|
45,451782764
|
2 * 11 * 16453
|
|
364607
|
45,451802768
|
2 * 11 * 16573
|
|
370547
|
45,451846734
|
2 * 11 * 16843
|
|
371339
|
45,45185249
|
2 * 11 * 16879
|
|
372263
|
45,451859174
|
2 * 11 * 16921
|
|
373187
|
45,451865826
|
2 * 11 * 16963
|
|
374639
|
45,451876211
|
2 * 11 * 17029
|
|
374903
|
45,451878091
|
2 * 11 * 17041
|
|
378467
|
45,451903209
|
2 * 11 * 17203
|
|
380447
|
45,451916961
|
2 * 11 * 17293
|
|
382427
|
45,45193057
|
2 * 11 * 17383
|
|
383219
|
45,451935974
|
2 * 11 * 17419
|
|
383483
|
45,45193777
|
2 * 11 * 17431
|
|
385199
|
45,451949387
|
2 * 11 * 17509
|
|
385859
|
45,451953828
|
2 * 11 * 17539
|
|
387707
|
45,451966181
|
2 * 11 * 17623
|
|
388499
|
45,451971439
|
2 * 11 * 17659
|
|
389027
|
45,451974932
|
2 * 11 * 17683
|
|
389687
|
45,451979286
|
2 * 11 * 17713
|
|
390479
|
45,451984491
|
2 * 11 * 17749
|
|
390743
|
45,451986221
|
2 * 11 * 17761
|
|
391403
|
45,451990537
|
2 * 11 * 17791
|
|
392723
|
45,451999124
|
2 * 11 * 17851
|
|
393383
|
45,452003396
|
2 * 11 * 17881
|
|
396947
|
45,45202622
|
2 * 11 * 18043
|
|
399719
|
45,452043691
|
2 * 11 * 18169
|
|
399983
|
45,452045342
|
2 * 11 * 18181
|
|
400643
|
45,452049461
|
2 * 11 * 18211
|
|
401039
|
45,452051925
|
2 * 11 * 18229
|
|
401567
|
45,452055204
|
2 * 11 * 18253
|
|
402359
|
45,452060106
|
2 * 11 * 18289
|
|
405527
|
45,452079521
|
2 * 11 * 18433
|
|
405659
|
45,452080324
|
2 * 11 * 18439
|
|
406583
|
45,452085926
|
2 * 11 * 18481
|
|
414899
|
45,452135224
|
2 * 11 * 18859
|
|
416219
|
45,452142867
|
2 * 11 * 18919
|
|
418199
|
45,452154243
|
2 * 11 * 19009
|
|
421103
|
45,452170733
|
2 * 11 * 19141
|
|
423083
|
45,452181847
|
2 * 11 * 19231
|
|
424007
|
45,452186997
|
2 * 11 * 19273
|
|
426383
|
45,45220014
|
2 * 11 * 19381
|
|
427307
|
45,452205211
|
2 * 11 * 19423
|
|
427439
|
45,452205934
|
2 * 11 * 19429
|
|
428759
|
45,452213137
|
2 * 11 * 19489
|
|
429683
|
45,452218152
|
2 * 11 * 19531
|
|
431267
|
45,4522267
|
2 * 11 * 19603
|
|
431399
|
45,452227409
|
2 * 11 * 19609
|
|
432983
|
45,45223589
|
2 * 11 * 19681
|
|
434699
|
45,452245007
|
2 * 11 * 19759
|
|
435623
|
45,452249886
|
2 * 11 * 19801
|
|
436547
|
45,452254745
|
2 * 11 * 19843
|
|
440507
|
45,452275338
|
2 * 11 * 20023
|
|
441563
|
45,452280767
|
2 * 11 * 20071
|
|
442487
|
45,452285496
|
2 * 11 * 20113
|
|
443147
|
45,452288862
|
2 * 11 * 20143
|
|
443543
|
45,452290877
|
2 * 11 * 20161
|
|
447107
|
45,452308848
|
2 * 11 * 20323
|
|
457799
|
45,452361085
|
2 * 11 * 20809
|
|
461627
|
45,452379199
|
2 * 11 * 20983
|
|
462419
|
45,452382909
|
2 * 11 * 21019
|
|
463343
|
45,452387222
|
2 * 11 * 21061
|
|
464663
|
45,452393353
|
2 * 11 * 21121
|
|
465587
|
45,452397624
|
2 * 11 * 21163
|
|
466247
|
45,452400664
|
2 * 11 * 21193
|
|
468887
|
45,45241274
|
2 * 11 * 21313
|
|
472847
|
45,452430601
|
2 * 11 * 21493
|
|
473507
|
45,452433549
|
2 * 11 * 21523
|
|
474959
|
45,452440005
|
2 * 11 * 21589
|
|
476279
|
45,45244584
|
2 * 11 * 21649
|
|
478259
|
45,452454533
|
2 * 11 * 21739
|
|
478523
|
45,452455686
|
2 * 11 * 21751
|
|
480503
|
45,452464298
|
2 * 11 * 21841
|
|
484067
|
45,452479621
|
2 * 11 * 22003
|
|
485123
|
45,452484117
|
2 * 11 * 22051
|
|
486443
|
45,452489711
|
2 * 11 * 22111
|
|
486839
|
45,452491383
|
2 * 11 * 22129
|
|
493967
|
45,452521024
|
2 * 11 * 22453
|
|
495947
|
45,452529106
|
2 * 11 * 22543
|
|
496079
|
45,452529643
|
2 * 11 * 22549
|
|
497663
|
45,452536059
|
2 * 11 * 22621
|
|
344693
|
45,452752022
|
2^2 * 17 * 37 * 137
|
|
23
|
45,454545455
|
2 * 11
|
|
89
|
45,454545455
|
2^3 * 11
|
|
353
|
45,454545455
|
2^5 * 11
|
|
1409
|
45,454545455
|
2^7 * 11
|
|
2663
|
45,454545455
|
2 * 11^3
|
|
30977
|
45,454545455
|
2^8 * 11^2
|
|
170369
|
45,454545455
|
2^7 * 11^3
|
|
495617
|
45,454545455
|
2^12 * 11^2
|
|
473279
|
45,456581544
|
2 * 13 * 109 * 167
|
L' abondance saute ensuite brutalement (!) à 45,464982778 avec le premier 45293 qui se décompose en 2^2 * 13^2 * 67.