is 2 159853 - 1
has 48121 decimal digits
takes 0.001 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LF96FAD5ABE93B593double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267185.882873.1343%10000000020000000000.975512.1324%186.858276.3938%3.2595%
PrimeNet2400.000055.0000%1700360000.000011.0059%0.000059.9526%4.9526%
GPU722440.000059.0909%2800550000.00007.4954%0.000062.1572%3.0663%
Difference+23+185.8827+14.0434%+99997200+1999945000+0.9754+4.6370%+186.8582+14.2366%+14.2366%

Known prime factors (1 factor, 81.9 bits, 0.05124980% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
15985345886509969928767233048472581.92414352720927955298691
3 × 11 × 92921 × 1233779 × 3793753
2009-01-12123377937937535,842,8150.00660.0120

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-04-29T00:00:00ANONYMOUSv4_computers10000010000000---0.003--2.534%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.001--1.432%
2002-07-20T00:00:00ANONYMOUSv4_computers655366553600---0.002--2.077%
2003-02-09T00:00:00ANONYMOUSv4_computers13107213107200---0.004--2.850%
2003-10-08T00:00:00ANONYMOUSv4_computers26214426214400---0.008--3.740%
2017-01-07T10:26:17kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 4588650996992876723304847
--0.975--12.132%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-04T00:00:00ANONYMOUSv4_computers252253--0.004--
2000-04-19T00:00:00ANONYMOUSv4_computers21254--0.015--
2022-03-07T03:54:13LordJuliusManual testing254255--0.015--
2001-01-14T00:00:00ANONYMOUSv4_computers21256--0.060--
2002-07-14T00:00:00ANONYMOUSv4_computers21257--0.120--
2022-03-07T03:54:13LordJuliusManual testing257258--0.120--
2008-12-31T10:42:00Sturle Sundegorky.ifi258259--0.240--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.785 GHz-days
Estimated T-Level:29.727
DigitsB1CurvesCompleteFacMiss
2011000876 / 1008.7600.015%
2550000876 / 2803.1294.354%
30250000605 / 6400.94538.827%
3510000006 / 15660.00499.617%

New Calculation Method

Total ECM effort:11.785 GHz-days
Estimated T-Level:29.727
DigitsB1CompleteFacMiss
201100065.8780.000%
25500009.6010.007%
302500001.02335.940%
3510000000.08691.796%
4030000000.00699.415%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002710.943
2500002500000059910.42
100000010000000060.418


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-01-28T00:00:00ANONYMOUSv4_computersF96FAD5ABE93B5930.001


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T23:37:32Oliver KruseOllaptop
4588650996992876723304847
E81A9EBCA4C91C__no
2017-09-22T10:01:48Oliver KruseManual testing
4588650996992876723304847
E81A9EBCA4C91C__no
2017-09-22T10:03:23Oliver KruseManual testing
4588650996992876723304847
E81A9EBCA4C91C__no
2017-11-06T13:19:13kkmrkkblmbrbkc4.xlarge
4588650996992876723304847
E81A9EBCA4C91C__no
2020-04-17T17:50:06Oliver KruseAddPrpType5
4588650996992876723304847
8255C0F141C595__no


P-1 factor-bounds graph:
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (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 = 100000 (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: 2022-03-07T03:54:13+00:00