is 2 147727 - 1
has 44471 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-L3C3CB425B8B0F2B8double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267201.140773.1343%10000000020000000000.942712.0630%202.083476.3751%3.2408%
PrimeNet2400.000055.0000%1600320000.000010.4877%0.000059.7195%4.7195%
GPU722440.000059.0909%2600500000.00007.1195%0.000062.0034%2.9125%
Difference+23+201.1407+14.0434%+99997400+1999950000+0.9427+4.9436%+202.0834+14.3717%+14.3717%

Known prime factors (1 factor, 103.8 bits, 0.07026463% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1477271765475019427733137222852280392932103.80059754649435368386863026132
22 × 33 × 83 × 4079 × 6311 × 4497973 × 57570649
2009-01-064497973575706491.102e+120.03420.0424

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-11-25T00:00:00ANONYMOUSv4_computers100000025000000---0.011--4.488%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.001--1.411%
2002-07-20T00:00:00ANONYMOUSv4_computers655366553600---0.002--2.050%
2003-02-09T00:00:00ANONYMOUSv4_computers13107213107200---0.004--2.817%
2003-09-29T00:00:00ANONYMOUSv4_computers26214426214400---0.008--3.701%
2017-04-22T20:53:29kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 17654750194277331372228522803929
--0.943--12.063%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-10-21T00:00:00ANONYMOUSv4_computers252253--0.004--
2000-04-27T00:00:00ANONYMOUSv4_computers21254--0.016--
2022-02-28T06:23:24LordJuliusManual testing254255--0.016--
2001-01-08T00:00:00ANONYMOUSv4_computers21256--0.065--
2002-07-14T00:00:00ANONYMOUSv4_computers21257--0.130--
2022-02-28T06:23:24LordJuliusManual testing257258--0.130--
2009-01-01T10:06:00Sturle Sundeginy.ifi258259--0.260--


ECM factoring results:

Old Calculation Method

Total ECM effort:12.311 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:12.311 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_computers3C3CB425B8B0F2B80.000


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T23:03:51Oliver KruseOllaptop
17654750194277331372228522803929
33A69E3972B1D1__no
2017-09-22T10:02:26Oliver KruseManual testing
17654750194277331372228522803929
33A69E3972B1D1__no
2017-10-11T06:57:59kkmrkkblmbrbkc4.large33A69E3972B1D1__no
2020-04-17T15:47:17Oliver KruseAddPrpType5
17654750194277331372228522803929
4FD7EA06F21A29__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
2110
Last modified: 2022-02-28T06:23:24+00:00