is 2 146681 - 1
has 44156 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-L907C264FA8C5B9F6double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267202.575173.1343%10000000020000000000.942712.0568%203.517876.3735%3.2391%
PrimeNet2400.000055.0000%1600320000.000010.4749%0.000059.7137%4.7137%
GPU722440.000059.0909%2600500000.00007.1101%0.000061.9996%2.9087%
Difference+23+202.5751+14.0434%+99997400+1999950000+0.9427+4.9467%+203.5177+14.3739%+14.3739%

Known prime factors (1 factor, 92.3 bits, 0.06291861% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
14668160527352871655489709861323292892.29020632308503369723996244
22 × 3 × 1013 × 20899 × 4125311 × 19686791
2009-01-054125311196867916.873e+90.02300.0389

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-11-25T00:00:00ANONYMOUSv4_computers100000025000000---0.011--4.484%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.001--1.409%
2002-07-20T00:00:00ANONYMOUSv4_computers655366553600---0.002--2.048%
2003-02-09T00:00:00ANONYMOUSv4_computers13107213107200---0.004--2.814%
2003-09-29T00:00:00ANONYMOUSv4_computers26214426214400---0.008--3.697%
2017-04-15T11:31:02kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 6052735287165548970986132329
--0.943--12.057%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-10-15T00:00:00ANONYMOUSv4_computers252253--0.004--
2000-04-27T00:00:00ANONYMOUSv4_computers21254--0.016--
2022-03-07T03:53:25LordJuliusManual testing254255--0.016--
2001-01-08T00:00:00ANONYMOUSv4_computers21256--0.065--
2002-07-06T00:00:00ANONYMOUSv4_computers21257--0.131--
2022-03-07T03:53:25LordJuliusManual testing257258--0.131--
2008-12-31T07:35:00Sturle Sundeginy.ifi258259--0.262--


ECM factoring results:

Old Calculation Method

Total ECM effort:12.410 GHz-days
Estimated T-Level:29.867
DigitsB1CurvesCompleteFacMiss
2011000889 / 1008.8900.013%
2550000889 / 2803.1754.156%
30250000623 / 6400.97337.749%
35100000021 / 15660.01398.668%

New Calculation Method

Total ECM effort:12.410 GHz-days
Estimated T-Level:29.867
DigitsB1CompleteFacMiss
201100068.4580.000%
255000010.1250.004%
302500001.10433.148%
3510000000.09690.885%
4030000000.00799.315%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002660.893
2500002500000060210.11
1000000100000000211.410


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-02-11T00:00:00ANONYMOUSv4_computers907C264FA8C5B9F60.000


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T23:01:04Oliver KruseOllaptop
6052735287165548970986132329
77ED3966517D2F__no
2017-09-22T10:01:34Oliver KruseManual testing
6052735287165548970986132329
77ED3966517D2F__no
2017-09-22T10:02:21Oliver KruseManual testing
6052735287165548970986132329
77ED3966517D2F__no
2017-11-06T13:00:39kkmrkkblmbrbkc4.xlarge
6052735287165548970986132329
77ED3966517D2F__no
2020-04-17T15:46:47Oliver KruseAddPrpType5
6052735287165548970986132329
90767A7A897748__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: 2022-03-07T03:53:25+00:00