is 2 147107 - 1
has 44284 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L09DF0860FD255B8Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267201.988573.1343%10000000020000000000.942712.0593%202.931176.3742%3.2398%
PrimeNet2400.000055.0000%1600320000.000010.4801%0.000059.7161%4.7161%
GPU722440.000059.0909%2600500000.00007.1139%0.000062.0012%2.9103%
Difference+23+201.9885+14.0434%+99997400+1999950000+0.9427+4.9454%+202.9311+14.3730%+14.3730%

Known prime factors (1 factor, 82.8 bits, 0.05630830% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
14710786169770163649559921030232582.83329288127065214286173
3 × 292 × 881 × 152203 × 86571557
2009-01-051522038657155712,845,1250.02250.0408

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-11-25T00:00:00ANONYMOUSv4_computers100000025000000---0.011--4.486%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.001--1.410%
2002-07-20T00:00:00ANONYMOUSv4_computers655366553600---0.002--2.049%
2003-02-09T00:00:00ANONYMOUSv4_computers13107213107200---0.004--2.815%
2003-09-29T00:00:00ANONYMOUSv4_computers26214426214400---0.008--3.699%
2017-04-22T20:53:28kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 8616977016364955992103023
--0.943--12.059%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-10-15T00:00:00ANONYMOUSv4_computers252253--0.004--
2000-04-27T00:00:00ANONYMOUSv4_computers21254--0.016--
2022-03-07T03:53:26LordJuliusManual testing254255--0.016--
2001-01-08T00:00:00ANONYMOUSv4_computers21256--0.065--
2002-07-06T00:00:00ANONYMOUSv4_computers21257--0.131--
2022-03-07T03:53:26LordJuliusManual testing257258--0.131--
2008-12-31T16:18:00Sturle Sundeginy.ifi258259--0.261--


ECM factoring results:

Old Calculation Method

Total ECM effort:12.310 GHz-days
Estimated T-Level:29.820
DigitsB1CurvesCompleteFacMiss
2011000883 / 1008.8300.014%
2550000883 / 2803.1544.246%
30250000617 / 6400.96438.105%
35100000021 / 15660.01398.668%

New Calculation Method

Total ECM effort:12.310 GHz-days
Estimated T-Level:29.820
DigitsB1CompleteFacMiss
201100067.9130.000%
255000010.0410.004%
302500001.09533.459%
3510000000.09590.957%
4030000000.00799.320%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002660.893
2500002500000059610.01
1000000100000000211.410


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-02-18T00:00:00ANONYMOUSv4_computers09DF0860FD255B8F0.000


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T23:02:14Oliver KruseOllaptop
8616977016364955992103023
8482E758976735__no
2017-09-22T10:02:23Oliver KruseManual testing
8616977016364955992103023
8482E758976735__no
2017-10-11T06:55:15kkmrkkblmbrbkc4.large8482E758976735__no
2020-04-17T15:47:00Oliver KruseAddPrpType5
8616977016364955992103023
D96E0C50C2D787__no


P-1 factor-bounds graph:
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 1000000, B2 = 25000000 (P-1 stage 2)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 262144 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
103
104
105
106
107
108
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
259
258
257
256
255
254
253
250
260
270
280
290
2100
Last modified: 2022-03-07T03:53:26+00:00