is 2 1842853 - 1
has 554755 decimal digits
takes 0.100 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L2CFD37EE0A002702double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26832.343869.1176 %2500000069189473430298.388218.0156 %330.732074.6813 %
Target2610.166765.5738 %90007000000.00371.5969 %0.170466.1235 %
Difference+7+32.1771+3.5439 %+24991000+69188773430+298.3845+16.4187%+330.5617+8.5578 %

Known prime factors:
No known factors for M1842853

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2011-02-11Carsten Kossendeymother10000017000006--0.0154.966%
2014-05-19JossManual testing134829134829--0.0112.341%
2014-09-23JossManual testing169658169658--0.0132.589%
2015-07-12mikrMSI27800009176000012--0.60012.888%
2018-08-06JossManual testing184285318428530012--0.92713.771%
2023-01-09JossManual testing18428531644202560--8.70717.265%
2023-06-08JossJoss18428538776507740--45.7519.834%
2023-11-16kurlybeans2500000069189473430--298.426.078%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2022-10-27masserManual testing200000440000019543--0.042
2022-10-29masserManual testing4000001080000065--0.092
2022-10-30masserManual testing8000002560000027--0.200


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2003-01-16ANONYMOUSv4_computers212580.021
2016-02-23Mark RoseManual testing2582600.063
2010-04-08Architects CubedManual testing2602610.083
2011-01-21GrunwalderGIMPManual testing212630.866
2016-02-23Mark RoseManual testing2612630.699
2015-04-27snme2pm1Manual testing2632653.093
2015-09-06ramgeisManual testing2652664.055
2017-12-04TJAOIManual testing2662678.110
2019-06-24TJAOIManual testing26726816.22


ECM factoring results:
Total ECM effort:37.043 GHz-days
Estimated T-Level:25.679
DigitsB1CompleteFacMiss
201100014.4950.000%
25500001.62119.779%
302500000.13687.306%
3510000000.00999.080%


ECM Summary

B1B2factorcurvesGHz-days
50000500000020514.06
500006600000524.053
60000600000010.083
250000400000004418.84


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-21ANONYMOUSv4_computers2CFD37EE0A0027020.100
2015-07-16MadPooManual testing2CFD37EE0A0027020.100


PRP results:
No PRP results for M1842853


CERT results:
No CERT results for M1842853


P-1 factor-bounds graph:
B1 = 25000000, B2 = 69189473430 (P-1 stage 2)
B1 = 1842853, B2 = 8776507740 (P-1 stage 2)
B1 = 1842853, B2 = 1644202560 (P-1 stage 2)
B1 = 25000000 (P-1 stage 1)
B1 = 1842853, B2 = 184285300 (P-1 stage 2)
B1 = 2780000, B2 = 91760000 (P-1 stage 2)
B1 = 2780000 (P-1 stage 1)
B1 = 1842853 (P-1 stage 1)
B1 = 100000, B2 = 1700000 (P-1 stage 2)
B1 = 169658 (P-1 stage 1)
B1 = 134829 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
104
105
106
107
108
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
268
267
266
265
263
261
260
258
this exponent TF target: 61
TF double-checked to: 67
ECM T-Level=25.68 ~= 69-bit
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Last modified: 2024-03-13T02:15:48+00:00