is 2 1861331 - 1
has 560317 decimal digits
takes 0.101 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
Actual26715.963868.6567%500000150000000.10155.0790%16.065370.2486%1.5919%
PrimeNet2570.010363.1579%90001600000.00143.0265%0.011764.2729%1.1150%
GPU722610.165065.5738%90001500000.00131.6330%0.166366.1359%0.5622%
Difference+6+15.7988+3.0829%+491000+14850000+0.1002+3.4460%+15.8989+4.1127%+4.1127%

Known prime factors (6 factors, 393.0 bits, 0.02111299% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1861331576305304231135.74615481
113 × 137
-1131373.322e-98.992e-61.809e-5
1861331141712732008895211753.6543806757960
23 × 3 × 5 × 31722983
2014-10-048317229830.00100.13600.2539
18613312010360412799678250172167.44654003302282068
22 × 353 × 38245964789
2020-12-013533824596478931.703163.91306.14
1861331117921260306353365773692373.3203167659602358564
22 × 761 × 65543 × 15876967
2015-07-1565543158769671,148.70.07290.1271
1861331124304955984326838646332373.3963339141613832436
22 × 3 × 29 × 97 × 98919943531
2021-08-2097989199435312,010.1423.95791.81
18613318282031966364983228126380472789.420222476065954013102133
3 × 7 × 1823 × 5811354020165951
2021-08-2018235811354020165951114,198,99924,906,01046,517,492

57 Composite Factors:
exponentprime factorscomposite factordigitsbits*
18613318166979913365081306523973832789.400
18613311158581369310466960010335899219132103.192
186133167958647796037999464090884779708733109.066
186133171637605475844237857827332022975933109.142
1861331284893666420372751600109990407694685737121.100
18613314772978952018556786504221189652080388138125.166
186133116710943959945426795074581143843785024939126.974
186133117615594914784424173015950011955221079339127.050
1861331237064233547338865734007864835874387424027343140.766
1861331249897762625697138572698857362025105892376143140.842
18613311173669376538584295959498080135806100820548744143.074
186133114658197071997602713140843650429072192729057745146.717
186133116418573109959305368090360732336886757529273051148156.846
186133116649869202721638655583994313167455501865262179948156.866
1861331963060564280683012333265035164271392036971262532749162.720
1861331976627647371264810480734966423795376023880855834349162.740
18613311015196078655727849789532322828232582124289545543950162.796
18613311029497619039787096767896474321581212254977349175150162.816
186133113662137523655089712374052480145130786246893913832
5479
54176.512
186133114401740611639871306097968296419525390020377394808
0903
54176.588
186133167639188711150324701643890083076665464967637118903
1001
54178.820
186133184475967230408736454273073187993902200673527917597
24071
55182.463
186133195954079362642015094104620309685603379374472530559
82490977
58192.612
186133133595020197588178133840063987244295150052069335341
681879233
59194.420
186133135413694664597927988805463134054147411593174444690
122808481
59194.496
186133156283569343772592636399325737886422929070990436685
9031969089
60198.486
186133159330493854478514327725102733104324338325692554811
4945040673
60198.563
186133120772531533975687191066050501171143565045984897121
21841343617
61200.370
186133123594984523084493324303564369769609947121876812646
51385595268279
64210.520
186133129468259116560135638584204699183487865285207462921
950258448964809
65214.163
186133113840057206440186260386053391468065102599406218953
8177535225823703
66216.394
186133114589292019078104369718588385031988054587479316478
3964439355841271
66216.470
186133119360988335584049711674131734331490355782671318645
14186641125218405559
70230.166
186133119633735603208745294766491091474782531923784281228
70166657735059466831
70230.186
186133120409100077589436700216164465757124697331471427338
60253321770472917463
70230.242
186133120696612583891122867985104456431773415775701144219
29542602529060934767
70230.262
186133111971320105315126988070634372101979863550833120075
4290289436098715359991
72236.116
186133112139965671956174523145113865487708951984068999914
3469654125284494783119
72236.137
186133113597914733878350383258169716993463275584507429400
8318792037212517756352017
75246.266
186133116982714035297660000284335415635535606795704742637
90098844035779217930884207
76249.909
186133179760983789181154580896504970190265452829969648315
33932763806987090976016369
76252.140
186133184078863755551179029223634787220042540807631146319
14714844846948891124487633
76252.216
186133111315025969978598521296983675281959306433426187366
3987921647680572876918104899513
81265.932
186133111927567611689819961630465750872241958617041729360
8601563317525642942710411916441
81266.009
186133141760275069537696168105491441022208381606386618516
2190416916684681370600425866489
81267.816
186133169963266099184595377881200226878854048988733471089
49571843844495530128724316329337
82271.883
186133127823503118710254632885232178600131809265940865973
693951598578014438263587061194977951
86283.840
186133129329735125928909273921986428728513633664429835685
845365122187522111374788156154876607
86283.916
186133117203877018671128199885326015093693963139441620011
48084873247011873502731286194774795999
88289.790
186133124066668028678406395613340467651964903548124576294
990566011436050386026449180675450450694847
92303.562
186133124405706399647738365967696530004601970585397020469
099377665727304834280559022662509557488023
92303.583
186133116034832429572667101425690693362334657857108383742
15934795292939744623282909423306339539919703273
97319.586
186133116902881924733777420459678794094317261724682006184
42002385147771105350569923188463690999524514761
97319.662
186133199146855791807699275522450602413048713815903087330
405266215848016569741382962641888784453988177577
98325.537
186133114065138051597047823830456427076617461958274741076
77985415975064165673800730072998903514341776959623
729
103339.329
186133134585993305010587250857086578042116316749024865701
06923818956936610268659452823694914791716578249699
03706983
108357.236
186133119932091393740869668976152608610011481677093819783
68959955113410794449704727993824830421744149712127
4044644664259043809
119392.983
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2015-07-15T06:44:00alpertronManual testing50000015000000122373.3200.1010.2020.2035.079%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2014-10-04T11:10:00TJAOIManual testing253254*53.654170.0000.2140.001


ECM factoring results:

Old Calculation Method

Total ECM effort:19.866 GHz-days
Estimated T-Level:24.607
DigitsB1CurvesCompleteFacMiss
2011000258 / 1002.5807.480%
2550000258 / 2800.92139.729%

New Calculation Method

Total ECM effort:19.866 GHz-days
Estimated T-Level:24.607
DigitsB1CompleteFacMiss
20110008.8280.015%
25500000.80044.932%
302500000.04995.171%
3510000000.00299.773%


ECM Summary

B1B2factorcurvesGHz-days
500005000000261.799
50000500000050.346
50000660000090.702
500006600000151.171
50000660000019615.30
50000675000070.552


Lucas-Lehmer results:
No L-L results for M1861331


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-04T08:54:57Oliver KruseGTX-2
57630530423
14171273200889521
11792126030635336577369
23B18B51DC1EB766no
2017-10-05T21:33:20Oliver KruseManual testing
57630530423
14171273200889521
11792126030635336577369
23B18B51DC1EB7__no
2017-11-11T03:26:25kkmrkkblmbrbkc4.xlarge
57630530423
14171273200889521
11792126030635336577369
23B18B51DC1EB7__no
2020-12-01T15:22:11mrhlanai
57630530423
14171273200889521
201036041279967825017
11792126030635336577369
AE7DEB855E9D9645no
2021-08-20T21:26:31SRJ2877LTOS
57630530423
14171273200889521
201036041279967825017
11792126030635336577369
12430495598432683864633
828203196636498322812638047
AE7DEB855E9D9645no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
TF factor-bounds graph:
267
254
230
240
250
260
270
280
290
2100
Last modified: 2021-08-20T21:26:31+00:00