is 2 885803 - 1
has 266654 decimal digits
takes 0.021 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26867.289170.5882%100000000010007503506001,950.434224.0228%2,017.723377.6538%
Target2440.000054.5455%150006000000.001617.9559%0.001762.7072%
Difference+24+67.2891+16.0428%+999985000+1000749750600+1,950.4326+6.0669%+2,017.7217+14.9465%

Known prime factors (9 factors, 491.1 bits, 0.05544338% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
8858031771607720.7571
1
-111.577e-133.516e-87.156e-8
88580323030879824.45713
13
2008-07-161132.530e-125.815e-87.156e-8
88580369730412171032.6993936
25 × 3 × 41
2008-07-1632411.196e-91.142e-62.290e-6
8858032612148293368971547.892147445216
25 × 17 × 131 × 2069
2014-03-2113120693.278e-58.319e-69.375e-6
885803111050804069845371753.3026268369156
22 × 7 × 223870327
2014-09-1672238703270.00250.42890.8010
8858036609382878400770731859.197373072956312
23 × 3 × 7 × 2220672359
2015-11-03822206723590.09934.25437.9458
885803238988818922669013123372374.33913489953122910456
23 × 33 × 227 × 275125491983
2016-02-122272751254919835,362.5527.07984.42
88580359753162081101509323133832582.3053372824549087184697
11 × 172 × 14400587 × 73675489
2016-11-2514400587736754892,019,2900.61991.0305
885803891408901744419617858487746892996.17050316430501162200729648
24 × 3 × 7 × 23741 × 380819 × 16563531217
2021-07-13380819165635312173.195e+1031.74459.266

502 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-17alpertronManual testing3000001000000012-
skipped known factor: 1771607
skipped known factor: 23030879
skipped known factor: 6973041217
skipped known factor: 261214829336897
--0.029--3.606%
2021-02-26Seth_TrManual testing20000000200000000012-
skipped known factor: 1771607
skipped known factor: 23030879
skipped known factor: 6973041217
skipped known factor: 261214829336897
skipped known factor: 11105080406984537
skipped known factor: 5975316208110150932313383
--4.496--12.126%
2021-03-05Seth_TrManual testing260000004186000000-
skipped known factor: 1771607
skipped known factor: 23030879
skipped known factor: 6973041217
skipped known factor: 261214829336897
skipped known factor: 11105080406984537
skipped known factor: 660938287840077073
skipped known factor: 5975316208110150932313383
--8.884--13.339%
2021-03-11Seth_TrManual testing500000009050000000-
skipped known factor: 1771607
skipped known factor: 23030879
skipped known factor: 6973041217
skipped known factor: 261214829336897
skipped known factor: 11105080406984537
skipped known factor: 660938287840077073
skipped known factor: 5975316208110150932313383
--19.00--14.883%
2021-07-13Seth_TrManual testing10000000002410000000002996.170494.90.043989.921.701%
2021-12-21Seth_TrManual testing10000000001000000000-
skipped known factor: 1771607
skipped known factor: 23030879
skipped known factor: 6973041217
skipped known factor: 261214829336897
skipped known factor: 11105080406984537
skipped known factor: 5975316208110150932313383
--35.16--11.761%
2021-12-22Seth_TrManual testing10000000001000750350600-
skipped known factor: 1771607
skipped known factor: 23030879
skipped known factor: 6973041217
skipped known factor: 261214829336897
skipped known factor: 11105080406984537
skipped known factor: 660938287840077073
skipped known factor: 23898881892266901312337
skipped known factor: 5975316208110150932313383
skipped known factor: 89140890174441961785848774689
--1,950--24.023%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-10-05nordisweet161000000001000000000027--23.93
2021-10-16nordisweet161000000001000000000065--23.93


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-16J FeitsmaManual testing??24.45787.09983e-150.0451.47453e-14
2008-07-16J FeitsmaManual testing??32.699105.50300e-100.0451.14289e-9
2014-03-21TJAOIManual testing??47.892151.16183e-50.0452.41281e-5
2014-09-16TJAOIManual testing253254*53.302170.0010.0450.002
2022-03-08LordJuliusManual testing254259--0.084--
2015-11-03TJAOIManual testing259260*59.197180.0130.0450.026
2022-09-29LordJuliusManual testing2126053.456170.0020.0450.003
2022-09-29LordJuliusManual testing2126020.75771.57732e-130.0453.27586e-13
2022-09-29LordJuliusManual testing2126024.45782.53027e-120.0455.25499e-12
2022-09-29LordJuliusManual testing2126045.214145.51138e-60.0451.14456e-5
2022-09-29LordJuliusManual testing2126059.197180.0990.0450.206
2022-09-29LordJuliusManual testing2126053.302170.0030.0450.005
2022-09-29LordJuliusManual testing2126057.156180.0330.0450.068
2022-09-29LordJuliusManual testing2126047.892153.27842e-50.0456.80838e-5
2022-09-29LordJuliusManual testing2126032.699101.19623e-90.0452.48439e-9
2022-09-29LordJuliusManual testing260261--0.173--
2022-09-29LordJuliusManual testing261262--0.347--
2022-09-29LordJuliusManual testing262263--1.108--
2022-09-29LordJuliusManual testing263264--2.216--
2022-09-29LordJuliusManual testing264265--4.218--
2022-09-29LordJuliusManual testing265266--8.436--
2022-09-29LordJuliusManual testing266267--16.87--
2022-12-06LordJuliusManual testing267268--33.74--


ECM factoring results:
Total ECM effort:550.786 GHz-days
Estimated T-Level:32.372
DigitsB1CompleteFacMiss
2011000119.6290.000%
255000023.4200.000%
302500003.5762.798%
3510000000.47462.222%
4030000000.05694.527%
45110000000.00699.408%


ECM Summary

B1B2factorcurvesGHz-days
5000050000001293.617
500005000000571.598
50000500000040.112
1500003000000012013.73
2500002500000010014.02
2500003863700454090.58
3000000524128402100213.5
3000000524634253100213.6


Lucas-Lehmer results:
No L-L results for M885803


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-28Oliver KruseGTX-3
1771607
23030879
6973041217
261214829336897
11105080406984537
660938287840077073
23898881892266901312337
5975316208110150932313383
C80546F8871CE319no
2017-10-05Oliver KruseManual testing
1771607
23030879
6973041217
261214829336897
11105080406984537
660938287840077073
23898881892266901312337
5975316208110150932313383
C80546F8871CE3__no
2017-10-15kkmrkkblmbrbkc4.xlarge
1771607
23030879
6973041217
261214829336897
11105080406984537
660938287840077073
23898881892266901312337
5975316208110150932313383
C80546F8871CE3__no
2020-04-22Oliver KruseAddPrpType5
1771607
23030879
6973041217
261214829336897
11105080406984537
660938287840077073
23898881892266901312337
5975316208110150932313383
47395CC6A1BB32__no
2021-07-13mikrNitron
1771607
23030879
6973041217
261214829336897
11105080406984537
660938287840077073
23898881892266901312337
5975316208110150932313383
89140890174441961785848774689
47395CC6A1BB3201no


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 1000750350600 (P-1 stage 2)
B1 = 1000000000, B2 = 241000000000 (P-1 stage 2)
B1 = 1000000000 (P-1 stage 1)
B1 = 50000000, B2 = 9050000000 (P-1 stage 2)
B1 = 26000000, B2 = 4186000000 (P-1 stage 2)
B1 = 20000000, B2 = 2000000000 (P-1 stage 2)
B1 = 50000000 (P-1 stage 1)
B1 = 26000000 (P-1 stage 1)
B1 = 20000000 (P-1 stage 1)
B1 = 300000, B2 = 10000000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
109
100
101
102
103
104
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109
1010
1011
1012
1013
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
259
254
2
this exponent TF target: 44
TF double-checked to: 67.7
ECM T-Level=32.37 ~= 91-bit
250
260
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2100
Last modified: 2023-03-23T17:39:31+00:00