is 2 500177 - 1
has 150569 decimal digits
takes 0.006 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
Actual26759.406871.6418%1000000011100000001.194311.1102%60.601174.7924%3.1506%
PrimeNet2400.000052.5000%50001700000.000219.1016%0.000261.5733%9.0733%
GPU722440.000056.8182%90002800000.000414.3572%0.000463.0179%6.1997%
Difference+23+59.4068+14.8236%+9991000+1109720000+1.1939-3.2470%+60.6007+11.7746%+11.7746%

Known prime factors (5 factors, 282.7 bits, 0.05652919% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
500177113840285211133.40611380
22 × 5 × 569
-55693.348e-96.102e-79.815e-7
5001778868418309131239.690886528
28 × 3463
2008-07-2125634632.766e-77.356e-68.898e-6
50017768092511168892311652.5966806841495
3 × 5 × 277 × 1171 × 1399
2008-10-30117113990.00162.021e-54.070e-5
50017751620197547476128511372272.1285160193046409184
25 × 72 × 73 × 45081362231
2015-05-2973450813622312,236.541.94678.343
500177367254820864403537339715532684.92536712485866443632688
24 × 2294530366652727043
2020-08-0216229453036665272704311,847,7802.135e+93.987e+9

26 Composite Factors:
exponentprime factorscomposite factordigitsbits*
500177100958326967294514696732373.096
500177775167089213181105017573512686.003
50017760387287276484357970525979032892.286
5001775876458011401224985400973527837732105.535
500177457789505050944820511842519379808134111.818
50017741808393551951157427286100595466311336118.331
5001773256969377470134663620270818957801788938124.615
5001773514948878041945709347453364212140564738124.725
5001776874506006613183437468414226489679146338125.693
50017725007302991538942429168800656871640604574342137.521
5001775211488782114429394704041058880230641906820144145.225
50017718957766403283468388953330980240325875278170576148157.053
50017737077432285143627836363904116759643060302421216948158.021
50017740014278277486460589544985396908408883005845808748158.131
5001773117203698568314275290640079991776168141465736571150164.415
50017728468385048896794229583464900119029127853551426361
03
52170.928
50017722177522371212537851423758991276362828586786454945
3359
54177.211
50017721581575342943459218764664121700875719850098264702
54009481
58190.460
50017716812540267108869841004330470226415623987462076889
6479989793
60196.743
50017735486335810268376576800092234972101343570537507869
6751443431
60197.821
50017712908819205528309676838935292809617237533164502414
67708271559791
64209.650
50017725246954719899908025340013281372030463377621112683
41853815252039
64210.618
50017719139443791122833248207003335756685679107328002971
76477900309300886153
70230.150
50017714695436600816683823405473249661816885517077637887
345727863944273900799111
74243.056
50017711448080859155624205261896725280814714868636830880
25083359916239656791619183
76249.340
50017713032527901134180993025939059515329644818104445113
182902532688980423987044133042718343
86282.746
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-17T18:48:28alpertronManual testing15000005000000012-
skipped known factor: 11384028521
skipped known factor: 886841830913
skipped known factor: 6809251116889231
--0.071--6.100%
2021-08-01T09:09:30ViliamF3100000001110000000-
skipped known factor: 11384028521
skipped known factor: 886841830913
skipped known factor: 6809251116889231
--1.194--11.110%
2021-08-06T18:41:21gLaussManual testing10000000820000000-
skipped known factor: 11384028521
skipped known factor: 886841830913
skipped known factor: 6809251116889231
--0.924--10.703%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-21T09:20:00J FeitsmaManual testing??39.690121.30196e-70.0122.71830e-7
2008-10-30T18:09:00GrunwalderGIMPManual testing??52.596160.0000.0120.001


ECM factoring results:

Old Calculation Method

Total ECM effort:15.635 GHz-days
Estimated T-Level:26.445
DigitsB1CurvesCompleteFacMiss
2011000466 / 1004.6600.925%
2550000466 / 2801.66418.876%
30250000185 / 6400.28974.880%

New Calculation Method

Total ECM effort:15.635 GHz-days
Estimated T-Level:26.445
DigitsB1CompleteFacMiss
201100024.4810.000%
25500003.0484.745%
302500000.29174.750%
3510000000.02297.792%
4030000000.00199.858%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002463.189
500005000000350.454
250000250000001449.334
25000025000000412.658


Lucas-Lehmer results:
No L-L results for M500177


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-27T09:43:05Oliver KruseGTX-0
11384028521
886841830913
6809251116889231
5162019754747612851137
F2A18041E12EEEEBno
2017-10-18T18:08:15Oliver KruseGTX-1
11384028521
886841830913
6809251116889231
5162019754747612851137
7AF5E115DF3DC4__no
2017-10-19T18:48:15kkmrkkblmbrbkc4.xlarge
11384028521
886841830913
6809251116889231
5162019754747612851137
7AF5E115DF3DC4__no
2020-08-02T08:29:22ANONYMOUSdory
11384028521
886841830913
6809251116889231
5162019754747612851137
36725482086440353733971553
7AF5E115DF3DC415no


P-1 factor-bounds graph:
B1 = 10000000, B2 = 1110000000 (P-1 stage 2)
B1 = 10000000, B2 = 820000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 1500000, B2 = 50000000 (P-1 stage 2)
B1 = 1500000 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
TF factor-bounds graph:
267
2
230
240
250
260
270
280
290
2100
Last modified: 2021-08-06T18:41:21+00:00