is 2 27506879 - 1
has 8280396 decimal digits
takes 25.463 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2694.340363.7681%285000344967002.88446.2041%7.224766.0160%2.2478%
PrimeNet2660.536962.1212%13000045000000.49415.2804%1.031064.1214%2.0001%
GPU722708.686964.2857%20000060000000.69263.9108%9.379565.6824%1.3967%
Difference-1-4.3467-0.5176%+85000+28496700+2.1918+2.2933%-2.1549+0.3335%+0.3335%

Known prime factors (6 factors, 402.1 bits, 0.00146178% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
27506879143977466051877111753.677261711745
5 × 47 × 1113667
-4711136676.822e-50.08150.1521
275068791035979886201636471856.5241883128737
3 × 7 × 1103 × 81299
2015-04-091103812990.00060.00730.0111
2750687936176332031883480231961.65065758699909
7 × 313 × 1741 × 17239
2016-05-181741172390.02040.00350.0048
2750687917092056750122371793212270.53431068695125540
22 × 5 × 219001 × 7093277
2022-06-21219001709327715.1980.79670.9688
27506879387658329657293539626412375.037704657059889080
23 × 5 × 29 × 59 × 9311 × 1105787
2022-06-2193111105787323.940.09270.1510
27506879307306303183494690401597692684.668558599002059620596
22 × 317 × 5791 × 115259 × 660013
2022-06-21115259660013253,9120.19450.3149

57 Composite Factors:
exponentprime factorscomposite factordigitsbits*
27506879149157758896023626518054797334201734110.200
275068795208576617001938246991039991074535335115.326
2750687937477952341583264102415566184891988136118.174
275068792460871020497500788848592600837252423138124.211
2750687917707027006943687204513658490470434368739127.058
2750687955814063997960366063628777734548630475139128.714
27506879401606232243479437408897693473334431172740131.561
27506879618327920100222216101164996869520683238340132.184
2750687914024056448607594000603305374105364820874342136.687
2750687944245182834129461442420061996033167539875942138.345
27506879318363149001082424626522100740384380571754343141.192
275068796625878170160107675655929853966931985174676144145.571
2750687911117214859456755282310750387602390709528668745146.318
275068795252496773682602535053088185087864784374293684947155.202
27506879119129848185271379830441632254608395928789718992949159.705
2750687953959806109541726496736302642560995230260766047823
91
52171.850
2750687925494128797719058762146887367614658463373043896928
30457
55180.734
2750687957822247669057835108019225316734930593859206730933
586897
56185.238
2750687989025287125157526238260574826295428277988888279428
445313
56185.860
2750687964057528830072277912260313179429246715218734599395
8980801
57188.707
2750687920191481112390081315942918797925101831710807809264
26357273
58190.364
2750687914528640403713821328857267902163691565084402904873
076165721
59193.211
2750687945837119477472038855538191519014062918240817241806
560714073
59194.868
2750687995397714930810052810808529174975591020632589920618
7641254071
60199.248
2750687916006284250188587402868890993890258819400716328807
10994303457
61199.994
2750687968642765127083756364548986318758254760925222983856
38622197367
61202.095
2750687911517210984979151319790595255901773691792247139787
924320467489
62202.841
2750687923969996868652060407496560517726634029831962360913
6638531003503
63207.221
2750687975624117592048095418509728916071767062235072137581
5978063862639
63208.878
2750687954414810098741652825793581775164290235393190479717
65658766528303
64211.725
2750687917152013672860184028901119624237985573203727949971
190410463762519
65213.382
2750687912341612656619567301551764853382257825780781538768
0107119420311063
66216.229
2750687919001606728113856897397019803032906476032837827595
6792422722999527
66216.851
2750687943096809428582491062621616110733283952660823504614
35536137382660367
67221.355
2750687920361741258161210713599804791187393205265786405393
27308453173168258209
70230.239
2750687992228406824988706401008410931455248837897178124100
87505240729964850136511
73242.384
2750687920917968305056368604795284258341388900064414716946
2028674592575127348654631
75246.887
2750687998830113857916754883310232911803896507071664663411
428906651284975600324956937
77255.771
2750687916582188536021418910149773362997808081056072046366
2562307864452824744117827679
78256.518
2750687934511394104199526574050006765442727429243358900270
62759258162520116650513551633
79260.897
2750687924832434628239744069129455429340907301324807876572
819918004718804459818990255441
80263.745
2750687978345064737109160516310309282774407208246482315384
910267175199465727385109284433
80265.402
2750687917769141172938606234587264924728430871076316587277
89383938906933762845697124946793
82269.906
2750687927358031876281325179849475539830208990283141460830
38661445507916757742612799212697
82270.528
2750687919685282375839643368570806135162060166892811620556
460459140685035620012733443594969
83273.375
2750687962049694164479529585395186373777920927168520779410
345257935822537808726540595149937
83275.032
2750687944647427727476502754092851321206802503946577818698
6759000030130146468065283761078449
84277.879
2750687929316319107540112290773191578524155739707412110685
979727459739453163775981717361669599
86283.916
2750687921094354391497017275046089636413015048212537074371
4514178375402984149717633047531128223
87286.763
2750687973661311250254084315010174120110937899992176672792
16704244431776496668910031507018670807
88291.889
2750687935753110136728453343387901281225222469336597565764
2558021048179140519601497368760823007644085551
96317.421
2750687928342370749890670337430232303100051748312411738475
8943348515812938218099531715557634122260900225959
99327.052
2750687964282235099363849605116584177314852846845738999535
54825261894472732673395440113095872708491441740239
100331.555
2750687930371116932880266369660348489090734831995669044868
32207068602217901485491132476454751621503048524867
553
103340.439
2750687910605568939870210862299179293991409931672383354813
99050381372057469794601264131468388722073108419508
52777
105345.565
2750687976311636846501550515771148438153699276651500116914
72404624257908558677777362802183388283171413007615
53129
105348.412
2750687910987156103430351387297737039312443942730743606213
85600949747135801395274885876889534317903886362614
7174388294128944397719
122402.089
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-06-21T21:33:20masserManual testing2850003449670070230.2392.88450.935.7696.204%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2015-04-09T11:50:00TJAOIManual testing256257*56.524180.00052.450.000
2022-06-25T05:08:13LordJuliusManual testing2126156.524180.00152.450.001
2022-06-25T05:08:13LordJuliusManual testing2126153.677176.82194e-552.450.000
2016-05-18T15:05:37TJAOIManual testing261262*61.650190.00952.430.019
2022-07-22T07:48:51LordJuliusManual testing262265--0.243--
2022-07-22T07:48:51LordJuliusManual testing265266--0.272--
2022-07-22T07:48:51LordJuliusManual testing266267--0.543--
2022-07-21T13:55:00masserManual testing267269--3.260--


ECM factoring results:
No ECM results for M27506879


Lucas-Lehmer results:
No L-L results for M27506879


PRP results:
No PRP results for M27506879


P-1 factor-bounds graph:
B1 = 285000, B2 = 34496700 (P-1 stage 2)
B1 = 285000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-07-22T07:48:51+00:00