is 2 2227739 - 1
has 670617 decimal digits
takes 0.146 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LD0303D64C5972A46double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272429.284469.4444 %100000000500118878259025,986.439221.2081 %26,415.723675.9247 %
Target2620.275864.5161 %110009000000.00571.6310 %0.281465.0949 %
Difference+10+429.0086+4.9283 %+99989000+5001187882590+25,986.4335+19.5771%+26,415.4421+10.8298 %

Known prime factors:
No known factors for M2227739

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-03-27ANONYMOUSv4_computers204820480012--0.0010.782%
2010-10-23Oscar Östlin7501175011--0.0071.595%
2011-01-13Oscar Östlin8500016150006--0.0164.412%
2014-05-26JossManual testing113811113811--0.0111.963%
2014-09-29JossManual testing142622142622--0.0142.181%
2015-05-04Squeeky_SquirrelP4_260016000046000006--0.0385.952%
2015-11-22Alexander DubrovinManual testing100000050000006--0.1167.042%
2015-11-22Alexander DubrovinManual testing160000070000006--0.1817.704%
2015-12-25Alexander DubrovinManual testing20000006500000012--0.51811.418%
2022-01-23LaurVbutu69725936972593--0.6657.770%
2022-01-30LaurVbutu6972593112580788320--670.124.411%
2022-02-07LaurVbutu5788516157885161--5.51911.785%
2022-03-04LaurVbutu57885161579246627960--3,45029.365%
2022-03-22LaurVbutu8258993382589933--7.87412.491%
2022-05-07LaurVZero818578851612100390512220--12,82231.425%
2022-10-02LaurVZero818100000000100000000--9.8012.873%
2023-01-20LaurVZero8181000000005001188782590--30,52633.378%


Trial Factoring results:
57585960616263646566676869707172
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2016-02-23Mark RoseManual testing212600.069
2009-01-10Sturle Sundegopher.ifi2602610.069
2012-04-20Sebastian HornbostelManual testing2612620.138
2013-12-03LaurVManual testing2622630.441
2015-03-06VictordeHollanderManual testing2632652.559
2015-10-25ramgeisManual testing2652663.354
2016-12-23Gordon SpenceManual testing2662676.709
2019-04-15TJAOIManual testing26726813.42
2021-08-12TJAOIManual testing26826926.84
2022-09-09LaurVManual testing269272375.7


ECM factoring results:
Total ECM effort:387.833 GHz-days
Estimated T-Level:26.141
DigitsB1CompleteFacMiss
201100016.2020.000%
25500002.09912.261%
302500000.22879.594%
3510000000.02497.638%
4030000000.00299.751%


ECM Summary

B1B2factorcurvesGHz-days
50000475000070.604
50000500000017014.45
50000515000070.608
5000069000001009.92
2500005509116802087.54
50000050853621014.327
1000000205403005510163.9
11000000115782767101106.5


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-01JCv4_computersD0303D64C5972A460.146
2018-04-20kkmrkkblmbrbkoldD0303D64C5972A460.146


PRP results:
No PRP results for M2227739


CERT results:
No CERT results for M2227739


P-1 factor-bounds graph:
B1 = 100000000, B2 = 5001188782590 (P-1 stage 2)
B1 = 57885161, B2 = 2100390512220 (P-1 stage 2)
B1 = 57885161, B2 = 579246627960 (P-1 stage 2)
B1 = 6972593, B2 = 112580788320 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 82589933 (P-1 stage 1)
B1 = 57885161 (P-1 stage 1)
B1 = 6972593 (P-1 stage 1)
B1 = 2000000, B2 = 65000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 1600000, B2 = 7000000 (P-1 stage 2)
B1 = 1600000 (P-1 stage 1)
B1 = 1000000, B2 = 5000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 160000, B2 = 4600000 (P-1 stage 2)
B1 = 85000, B2 = 1615000 (P-1 stage 2)
B1 = 160000 (P-1 stage 1)
B1 = 142622 (P-1 stage 1)
B1 = 113811 (P-1 stage 1)
B1 = 85000 (P-1 stage 1)
B1 = 75011 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=26.14 ~= 70-bit
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Last modified: 2024-03-13T02:15:48+00:00