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發表于 2021-3-6 22:25:46 | 只看該作者 |只看大圖回帖獎勵

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沙發

樓主| 發表于 2021-3-6 22:29:29 | 只看該作者

網友：給出數據值900...01，有140位數據，檢驗和驗證，沒有找到反例

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板凳

發表于 2021-3-7 08:54:51 | 只看該作者

不知道怎么證明~

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地板

樓主| 發表于 2021-3-7 16:42:08 | 只看該作者

f>1正整數，有反例存在，900....01，140位數據中，f取值7，13，17，19，23，還沒找到反例

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樓主| 發表于 2021-3-7 16:50:26 | 只看該作者

yangchuanju網友：9000...01，140位數據值
數字       分解式
91       91=P1 * P2
      P1 = 7
      P2 = 13
901       901=P2 * P2
      P2 = 17
      P2 = 53
9001       9001 is prime
90001       90001 is prime
900001       900001 is prime
9000001       9000001=P2 * P6
      P2 = 61
      P6 = 147541
90000001       90000001=P1 * P2 * P6
      P1 = 7
      P2 = 13
      P6 = 989011
900000001       900000001=P3 * P7
      P3 = 409
      P7 = 2200489
9000000001       9000000001 is prime
90000000001       90000000001=P3 * P9
      P3 = 113
      P9 = 796460177
9E+11       900000000001=P6 * P7
      P6 = 634939
      P7 = 1417459
9E+12       9000000000001=P7 * P7
      P7 = 1072157
      P7 = 8394293
9E+13       90000000000001=P1 * P2 * P3 * P10
      P1 = 7
      P2 = 13
      P3 = 103
      P10 = 9602048437
9E+14       900000000000001=P4 * P12
      P4 = 1097
      P12 = 820419325433
9E+15       9000000000000001=P2 * P2 * P13
      P2 = 23
      P2 = 53
      P13 = 7383100902379
9E+16       90000000000000001=P2 * P5 * P6 * P6
      P2 = 29
      P5 = 12553
      P6 = 286469
      P6 = 863017
9E+17       900000000000000001=P2 * P17
      P2 = 19
      P17 = 47368421052631579
9E+18       9000000000000000001=P2 * P3 * P6 * P11
      P2 = 17
      P3 = 173
      P6 = 264601
      P11 = 11565276061
9E+19       90000000000000000001=P1 * P2 * P7 * P12
      P1 = 7
      P2 = 13
      P7 = 9642641
      P12 = 102566401571
9E+20       900000000000000000001=P10 * P12
      P10 = 1669850621
      P12 = 538970365781
9E+21       9000000000000000000001=P6 * P17
      P6 = 101477
      P17 = 88690047991170413
9E+22       90000000000000000000001 is prime
9E+23       900000000000000000000001=P2 * P2 * P3 * P18
      P2 = 59
      P2 = 89
      P3 = 419
      P18 = 409059485884947929
9E+24       9000000000000000000000001=P4 * P5 * P18
      P4 = 1277
      P5 = 34781
      P18 = 202632707706349273
9E+25       90000000000000000000000001=P1 * P2 * P24
      P1 = 7
      P2 = 13
      P24 = 989010989010989010989011
9E+26       900000000000000000000000001=P6 * P10 * P12
      P6 = 876653
      P10 = 2462224309
      P12 = 416953065713
9E+27       9000000000000000000000000001 is prime
9E+28       90000000000000000000000000001=P2 * C28
      P2 = 53
      C28 = 1698113207547169811320754717
9E+29       900000000000000000000000000001 is not prime
9E+30       9000000000000000000000000000001=P3 * P7 * P22
      P3 = 661
      P7 = 9338569
      P22 = 1458010722709494472789
9E+31       90000000000000000000000000000001=P1 * P2 * P3 * P4 * P8 * P17
      P1 = 7
      P2 = 13
      P3 = 487
      P4 = 1493
      P8 = 28195807
      P17 = 48242279334679103
9E+32       900000000000000000000000000000001=P5 * P5 * P25
      P5 = 16901
      P5 = 48817
      P25 = 1090834891658648232287453
9E+33       9000000000000000000000000000000001=P2 * P9 * P10 * P15
      P2 = 47
      P9 = 909983219
      P10 = 1065587651
      P15 = 197479531885607
9E+34       90000000000000000000000000000000001=P2 * P8 * P27
      P2 = 17
      P8 = 41043601
      P27 = 128987650159127692753171553
9E+35       900000000000000000000000000000000001=P2 * P4 * P14 * P19
      P2 = 19
      P4 = 1289
      P14 = 36477404545339
      P19 = 1007423463151225049
9E+36       9000000000000000000000000000000000001 is prime
9E+37       90000000000000000000000000000000000001=P1 * P1 * P2 * P2 * P5 * P6 * P24
      P1 = 7
      P1 = 7
      P2 = 13
      P2 = 23
      P5 = 87407
      P6 = 197339
      P24 = 356136186044107373212487
9E+38       900000000000000000000000000000000000001 is not prime
9E+39       9000000000000000000000000000000000000001=P5 * P36
      P5 = 38201
      P36 = 235595926808198738252925316091201801
9E+40       90000000000000000000000000000000000000001=P4 * C38
      P4 = 4129
      C38 = 21797045289416323565027851780092031969

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樓主| 發表于 2021-3-7 16:54:26 | 只看該作者

9E+41       900000000000000000000000000000000000000001=P2 * P5 * P36
      P2 = 53
      P5 = 31081
      P36 = 546350892039242563405538662520875157
9E+42       9000000000000000000000000000000000000000001=P7 * C37
      P7 = 1032841
      C37 = 8713829137301869309990598746564088761
9E+43       90000000000000000000000000000000000000000001=P1 * P2 * C42
      P1 = 7
      P2 = 13
      C42 = 989010989010989010989010989010989010989011
9E+44       900000000000000000000000000000000000000000001=P2 * P2 * P3 * P4 * P5 * P8 * P24
      P2 = 29
      P2 = 97
      P3 = 313
      P4 = 8641
      P5 = 11813
      P8 = 16493429
      P24 = 607146191816885557369397
9E+45       9000000000000000000000000000000000000000000001=P4 * P10 * P11 * P24
      P4 = 1303
      P10 = 5532177317
      P11 = 10909587209
      P24 = 114444172630926939804739
9E+46       90000000000000000000000000000000000000000000001=P5 * P43
      P5 = 40697
      P43 = 2211465218566479101653684546772489372681033
9E+47       900000000000000000000000000000000000000000000001=P3 * P46
      P3 = 103
      P46 = 8737864077669902912621359223300970873786407767
9E+48       9000000000000000000000000000000000000000000000001 is not prime
9E+49       90000000000000000000000000000000000000000000000001=P1 * P2 * C48
      P1 = 7
      P2 = 13
      C48 = 989010989010989010989010989010989010989010989011
9E+50       900000000000000000000000000000000000000000000000001=P2 * P6 * P45
      P2 = 17
      P6 = 185177
      P45 = 285894989499712357874453344955494091662380889
9E+51       9000000000000000000000000000000000000000000000000001=P4 * P49
      P4 = 5303
      P49 = 1697152555157458042617386385065057514614369224967
9E+52       90000000000000000000000000000000000000000000000000001=P6 * C48
      P6 = 535637
      C48 = 168024240297066856845214202902338710731334840573
9E+53       900000000000000000000000000000000000000000000000000001=P2 * P3 * P3 * P9 * P39
      P2 = 19
      P3 = 317
      P3 = 373
      P9 = 621654619
      P39 = 644423915856720982631763433468126261601
9E+54       9000000000000000000000000000000000000000000000000000001=P2 * C54
      P2 = 53
      C54 = 169811320754716981132075471698113207547169811320754717
9E+55       90000000000000000000000000000000000000000000000000000001=P1 * P2 * C54
      P1 = 7
      P2 = 13
      C54 = 989010989010989010989010989010989010989010989010989011
9E+56       900000000000000000000000000000000000000000000000000000001=P5 * P53
      P5 = 22349
      P53 = 40270258177099646516622667680880576312139245603830149
9E+57       9000000000000000000000000000000000000000000000000000000001 is prime
9E+58       90000000000000000000000000000000000000000000000000000000001=P7 * C53
      P7 = 2836549
      C53 = 31728695679150968306910968222301113077898530926135949
9E+59       900000000000000000000000000000000000000000000000000000000001=P2 * P2 * P3 * P6 * P50
      P2 = 23
      P2 = 23
      P3 = 223
      P6 = 433241
      P50 = 17609718952061731403087007685427467197151800957383
9E+60       9000000000000000000000000000000000000000000000000000000000001=P8 * P12 * P13 * P30
      P8 = 52069729
      P12 = 165220125649
      P13 = 2903138521729
      P30 = 360351625548496622538364964689
9E+61       90000000000000000000000000000000000000000000000000000000000001=P1 * P2 * P2 * P3 * C57
      P1 = 7
      P2 = 13
      P2 = 13
      P3 = 173
      C57 = 439755886621160076028906620280564255664300128506442423739
9E+62       900000000000000000000000000000000000000000000000000000000000001 is prime
9E+63       9000000000000000000000000000000000000000000000000000000000000001=P7 * P7 * P51
      P7 = 1846367
      P7 = 6443011
      P51 = 756546466489705346851565812353711496009046424433973
9E+64       90000000000000000000000000000000000000000000000000000000000000001=P3 * C63
      P3 = 509
      C63 = 176817288801571709233791748526522593320235756385068762278978389
9E+65       900000000000000000000000000000000000000000000000000000000000000001=P4 * P4 * P59
      P4 = 4721
      P4 = 7459
      P59 = 25558060971253457331200579406921787420600688835179728118459
9E+66       9000000000000000000000000000000000000000000000000000000000000000001=P2 * P2 * C64
      P2 = 17
      P2 = 61
      C64 = 8678881388621022179363548698167791706846673095467695274831243973
9E+67       90000000000000000000000000000000000000000000000000000000000000000001=P1 * P2 * P2 * P2 * P3 * P60
      P1 = 7
      P2 = 13
      P2 = 53
      P2 = 89
      P3 = 967
      P60 = 216824706300274768218062939196360764018857398893392710120649
9E+68       900000000000000000000000000000000000000000000000000000000000000000001=P10 * P60
      P10 = 1937018929
      P60 = 464631494574310378357691309892201884620818798410410371369169
9E+69       9000000000000000000000000000000000000000000000000000000000000000000001=P6 * P14 * C51
      P6 = 223849
      P14 = 56519161534037
      C51 = 711363602530245908762799315716791946722922712239477
9E+70       90000000000000000000000000000000000000000000000000000000000000000000001=P6 * P66
      P6 = 177481
      P66 = 507096534276908514150810509293952592108451045464021500893053340921
9E+71       900000000000000000000000000000000000000000000000000000000000000000000001=P2 * P10 * C62
      P2 = 19
      P10 = 1021624687
      C62 = 46365775666334870926399629037773613381142209078813674896413717
9E+72       9000000000000000000000000000000000000000000000000000000000000000000000001=P2 * P7 * P15 * C51
      P2 = 29
      P7 = 1193737
      P15 = 369568350763637
      C51 = 703462716197286561893566473716153635964886210257401
9E+73       90000000000000000000000000000000000000000000000000000000000000000000000001=P1 * P2 * P3 * P3 * P10 * P20 * P39
      P1 = 7
      P2 = 13
      P3 = 131
      P3 = 157
      P10 = 3434714219
      P20 = 40505281728310780921
      P39 = 345643109794933143493746424616869980967
9E+74       900000000000000000000000000000000000000000000000000000000000000000000000001=P5 * P71
      P5 = 26513
      P71 = 33945611586768754950401689737110096933579753328555802813714027081054577
9E+75       9000000000000000000000000000000000000000000000000000000000000000000000000001=P3 * P5 * C69
      P3 = 761
      P5 = 27259
      C69 = 433858322793388134138773633889811266326872042020239105106469073445899
9E+76       90000000000000000000000000000000000000000000000000000000000000000000000000001=P8 * P70
      P8 = 39191309
      P70 = 2296427506414751290904827904574455525330883946744417238015703940891589
9E+77       900000000000000000000000000000000000000000000000000000000000000000000000000001=P3 * P3 * P10 * P63
      P3 = 797
      P3 = 997
      P10 = 1347545921
      P63 = 840514975997107693570604695977849746413871622498980856073069009
9E+78       9000000000000000000000000000000000000000000000000000000000000000000000000000001 is prime
9E+79       90000000000000000000000000000000000000000000000000000000000000000000000000000001=P1 * P1 * P2 * P2 * P4 * P6 * P9 * P58
      P1 = 7
      P1 = 7
      P2 = 13
      P2 = 47
      P4 = 1361
      P6 = 939179
      P9 = 362132527
      P58 = 6494282636470574357798239086613389616047164558265238476143
9E+80       900000000000000000000000000000000000000000000000000000000000000000000000000000001=P2 * P7 * C73
      P2 = 53
      P7 = 7228517
      C73 = 2349186157474859381697178988416478892519306675501416362182340796482848601

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樓主| 發表于 2021-3-7 16:56:25 | 只看該作者

900...01分解式（含81-140個0）：
9E+80       900000000000000000000000000000000000000000000000000000000000000000000000000000001=P2 * P7 * C73
      P2 = 53
      P7 = 7228517
      C73 = 2349186157474859381697178988416478892519306675501416362182340796482848601
9E+81       9000000000000000000000000000000000000000000000000000000000000000000000000000000001=P2 * P2 * P3 * P4 * P5 * P69
      P2 = 23
      P2 = 59
      P3 = 103
      P4 = 9539
      P5 = 15569
      P69 = 433572640799482999983753283405797953951283348120523679061716819187841
9E+82       90000000000000000000000000000000000000000000000000000000000000000000000000000000001=P2 * P3 * P7 * P15 * C59
      P2 = 17
      P3 = 197
      P7 = 4373989
      P15 = 444342046542949
      C59 = 13827136953803135915227779562819305309247744855725029151109
9E+83       900000000000000000000000000000000000000000000000000000000000000000000000000000000001=P8 * P8 * P11 * P58
      P8 = 73235077
      P8 = 82599773
      P11 = 43082588561
      P58 = 3453366913153286556653523424034883035479542624501723609121
9E+84       9000000000000000000000000000000000000000000000000000000000000000000000000000000000001=P4 * P6 * C77
      P4 = 1229
      P6 = 166349
      C77 = 44022067166610283366084365425399101982112650405733539680740523170278906355481
9E+85       90000000000000000000000000000000000000000000000000000000000000000000000000000000000001=P1 * P2 * C84
      P1 = 7
      P2 = 13
      C84 = 989010989010989010989010989010989010989010989010989010989010989010989010989010989011
9E+86       900000000000000000000000000000000000000000000000000000000000000000000000000000000000001=P7 * P8 * C74
      P7 = 2684897
      P8 = 16342553
      C74 = 20511384588721237948664065474561600385631983983167661345986948771736735561
9E+87       9000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=P3 * P9 * C77
      P3 = 887
      P9 = 386371357
      C77 = 26261163668678774102910222964726950487592747255637280662376555551200627554739
9E+88       90000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=P3 * C87
      P3 = 769
      C87 = 117035110533159947984395318595578673602080624187256176853055916775032509752925877763329
9E+89       900000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=P2 * P4 * P4 * P83
      P2 = 19
      P4 = 1013
      P4 = 1637
      P83 = 28564773432627871239776865954944655910167469236294439209861550034422138918173953059
9E+90       9000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=P4 * P4 * C84
      P4 = 1913
      P4 = 6353
      C84 = 740540276792562079285697888036728164696815816689622043876353141935487586940457023609
9E+91       90000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=P1 * P2 * P3 * P6 * C82
      P1 = 7
      P2 = 13
      P3 = 823
      P6 = 288931
      C82 = 4159174494750921523372414780632662165069892884998547063789420925456629331456173047
9E+92       900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=P10 * C84
      P10 = 1645448113
      C84 = 546963464170930074171229731143761687245619029738435757044135976349683899148268068177
9E+93       9000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=P2 * P4 * C89
      P2 = 53
      P4 = 3253
      C89 = 52201451200343369545673369719678207054156105539734004605328028119181713251628395269388489
9E+94       90000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=P4 * P11 * C82
      P4 = 6113
      P11 = 13693948969
      C82 = 1075126108696142426199572830688768662376780750405651587919247117002743359677355833
9E+95       900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001 is not prime
9E+96       9000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=P3 * C95
      P3 = 821
      C95 = 10962241169305724725943970767356881851400730816077953714981729598051157125456760048721071863581
9E+97       90000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=P1 * P2 * P5 * C92
      P1 = 7
      P2 = 13
      P5 = 11251
      C92 = 87904274198825794239535240335169230378545106124876811926851923296683762420141408675761177761
9E+98       900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=P2 * P6 * P10 * P83
      P2 = 17
      P6 = 665117
      P10 = 1302994037
      P83 = 61087606833217334930936140025570390625015013586542691774287192644976828132114177457
9E+99       9000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=P3 * P7 * P92
      P3 = 647
      P7 = 1159303
      P92 = 11998895445679379799918978391750473540741698203219135396897417073903734149720758838785348561
9E+100       90000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=P2 * P5 * P6 * P7 * P83
      P2 = 29
      P5 = 44497
      P6 = 852673
      P7 = 6267889
      P83 = 13049983777688172742896635745449048831681908684773511663795549758829314812199285941

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樓主| 發表于 2021-3-7 17:05:10 | 只看該作者

9E+101       900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=P3 * P4 * C96
      P3 = 929
      P4 = 1087
      C96 = 891245297443215296145958252089722654366161198546676001635930257084657410259025591613579805569887
9E+102       9000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=P3 * P4 * P8 * P9 * P10 * P13 * P59
      P3 = 857
      P4 = 4729
      P8 = 27724157
      P9 = 146688169
      P10 = 7824928201
      P13 = 1082959301461
      P59 = 64438650881125819456903404728709964010133394499896709654209
9E+103       90000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=P1 * P2 * P2 * C101
      P1 = 7
      P2 = 13
      P2 = 23
      C101 = 43000477783086478738652651696129956999522216913521261347348303870043000477783086478738652651696129957
9E+104       900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=P3 * P6 * P98
      P3 = 173
      P6 = 401017
      P98 = 12972797010421811792073566252600451214059928931270279995193146281071704670643674584536446143483661
9E+105       9000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=P6 * C101
      P6 = 146173
      C101 = 61570878342785603360401715775143152292146976527812933989177207829079241720427165071524837008202609237
9E+106       90000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=P2 * P3 * P3 * C101
      P2 = 53
      P3 = 109
      P3 = 601
      C101 = 25921830703371594915519313636006229303938361342831476130170217141415395320879141768508259127292605913
9E+107       900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=P2 * P12 * C96
      P2 = 19
      P12 = 140725352693
      C96 = 336601899701529703434021871004838007731653651820999518518992617044366642164251527562746976439503
9E+108       9000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=P6 * P7 * C97
      P6 = 373777
      P7 = 4126417
      C97 = 5835214450292052431336126474646284560227499398302155339750431004300338522096120621448455426681889
9E+109       90000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=P1 * P2 * P8 * P8 * P94
      P1 = 7
      P2 = 13
      P8 = 18480611
      P8 = 36737531
      P94 = 1456715783890529448958356929556268261049304839622936526296628689514369386951968743985378548771
9E+110       900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=P6 * C106
      P6 = 535741
      C106 = 1679916228177421552578578081572998893121862989765577023225775141346284865261385632236472474572601312947861
9E+111       9000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=P2 * C111
      P2 = 89
      C111 = 101123595505617977528089887640449438202247191011235955056179775280898876404494382022471910112359550561797752809
9E+112       90000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001 is not prime
9E+113       900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=P5 * P7 * C104
      P5 = 22699
      P7 = 1184459
      C104 = 33474627453340210450558941161791675296296994782280919086160013356355525225661891419848286880377772846761
9E+114       9000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=P2 * C114
      P2 = 17
      C114 = 529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882353
9E+115       90000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=P1 * P2 * P3 * P7 * C106
      P1 = 7
      P2 = 13
      P3 = 103
      P7 = 3391343
      C106 = 2831340987036667571098801337230607550125181781769048544470896338148836442399891898973267857546594570354459
9E+116       900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=P4 * P6 * C108
      P4 = 3917
      P6 = 719189
      C108 = 319481637436666301862417530975811618189214620608706212631721564718698248156838639004348142600655848305387377
9E+117       9000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=P5 * C114
      P5 = 12527
      C114 = 718448151991697932465873712780394348207870998642931268460126127564460764748144008940688113674463159575317314600463
9E+118       90000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=P6 * C114
      P6 = 196073
      C114 = 459012714652195865825483365889235131813151224288912802884639904525355352343259908299459895039092582864545347906137
9E+119       900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=P2 * P6 * C114
      P2 = 53
      P6 = 141413
      C114 = 120081831765620544880651334529437327223925531118606292901736103096390086631036163444181761731227774020402436914009
9E+120       9000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001 is not prime
9E+121       90000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=P1 * P1 * P2 * P4 * P5 * P5 * P6 * C101
      P1 = 7
      P1 = 7
      P2 = 13
      P4 = 8329
      P5 = 13099
      P5 = 45779
      P6 = 398459
      C101 = 70994079165901357774302508596374222973187651738164763773225091228534809576347428381458718947064150183
9E+122       900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=P3 * P3 * P7 * C113
      P3 = 113
      P3 = 229
      P7 = 2618281
      C113 = 13283494167595707594701695021323613648294145264418189068744715504356629299697769452353777609855703091779894048373
9E+123       9000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=P4 * P4 * P5 * P8 * P105
      P4 = 2383
      P4 = 5569
      P5 = 35081
      P8 = 28502281
      P105 = 678249788730965343155876794263068283826182488644313608841077587266701477227270380314651873177483730318783
9E+124       90000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=P12 * P12 * P103
      P12 = 168745086793
      P12 = 360847422557
      P103 = 1478045369332241890902656097128029833077561869578361464994129936119444146965960462980286762223022100301
9E+125       900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=P2 * P2 * P2 * P4 * P7 * P113
      P2 = 19
      P2 = 23
      P2 = 47
      P4 = 1091
      P7 = 2340179
      P113 = 17162849181227637954686586305558908249546272559153601351238220969425254370779811594520448516673293863019660069131
9E+126       9000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=P2 * P4 * P7 * C116
      P2 = 61
      P4 = 1609
      P7 = 4480517
      C116 = 20465789404222357840404381875745801274688927352651621232555433527637138892346348967984191087403221105854908526202697
9E+127       90000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=P1 * P2 * P3 * P3 * P4 * P9 * P111
      P1 = 7
      P2 = 13
      P3 = 167
      P3 = 401
      P4 = 1289
      P9 = 112974047
      P111 = 101416511916384986434377207218778382110001626648805153438789813840049798877618436058332277078236972412647025251
9E+128       900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=P2 * P4 * P4 * P8 * P113
      P2 = 29
      P4 = 2833
      P4 = 6121
      P8 = 19705421
      P113 = 90821744521678073858476364997021996717514800118315880931365217585390573943501211754500252286470470063005559638673
9E+129       9000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=P5 * P7 * C120
      P5 = 32801
      P7 = 2379277
      C120 = 115321536164667735888492935425573063879167720081542955638813507247273800701381449317112867250303185722672231194163915813
9E+130       90000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=P2 * P5 * C126
      P2 = 17
      P5 = 24593
      C126 = 215269289922287786338054109131962466603361549556186480610216680499711778339604048019402938664995539141936610369760883656516321
9E+131       900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001 is not prime

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樓主| 發表于 2021-3-7 17:14:28 | 只看該作者

9E+132       9000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=P2 * P3 * C129
      P2 = 53
      P3 = 317
      C129 = 535682399857151360038092970656508541158264389024462829593476578775072912326647223379560740432117135884768763764061662996250223201
9E+133       90000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=P1 * P2 * C132
      P1 = 7
      P2 = 13
      C132 = 989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989011
9E+134       900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=P3 * P4 * P11 * P120
      P3 = 181
      P4 = 2753
      P11 = 16531089961
      P120 = 109258751591334591151303372851647591688655864712545289987012012810113495421933518921235388716934090390154756359979711637
9E+135       9000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=P4 * P7 * P10 * C117
      P4 = 5927
      P7 = 3426823
      P10 = 4329778969
      C117 = 102341124002116886890802769572431620180185546879491021271962594087713193270517160649114163216150099920249933560241049
9E+136       90000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=P5 * P5 * C129
      P5 = 10037
      P5 = 17333
      C129 = 517326646039550392331618841935447509765129621565614254317238874101553784258498560231085444249745048495665558577899169944223163081
9E+137       900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=P5 * C134
      P5 = 12487
      C134 = 72074957956274525506526787859373748698646592456154400576599663650196204052214302874989989589172739649235204612797309201569632417714423
9E+138       9000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=P4 * P5 * P5 * C127
      P4 = 2477
      P5 = 16193
      P5 = 95401
      C127 = 2351994273131163932011470571366592962213409754392142945080247744180276601507505786882653964394865333813159089372234186818386141
9E+139       90000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=P1 * P2 * P2 * P2 * P10 * C126
      P1 = 7
      P2 = 13
      P2 = 13
      P2 = 59
      P10 = 4424608127
      C126 = 291427774943488532047152968430812186544474227918461927420354897872451236915447049045959903935550375259390389351446759644503379
9E+140       900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=P2 * P3 * P3 * P4 * C131
      P2 = 97
      P3 = 149
      P3 = 293
      P4 = 4733
      C131 = 44903519496482035685920893374806943061833411079228781276315961742360447241922023072917417784572160800690565957656776306254923604493

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樓主| 發表于 2021-3-7 17:15:55 | 只看該作者

140位數據中，f取值7，13，17，19，23，檢驗和驗證，沒有找到反例

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