is 2 2088269 - 1
has 628632 decimal digits
takes 0.137 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L3283337806FFD869double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26714.229068.6567 %500000150000000.12305.1497 %14.352070.2708 %
Target2620.294266.1290 %90007000000.00441.4000 %0.298666.6032 %
Difference+5+13.9348+2.5277 %+491000+14300000+0.1185+3.7497%+14.0533+3.6676 %

Known prime factors (1 factor, 83.0 bits, 0.00397604% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
208826998778969764163200329845672583.0302365092087373877607
33 × 17 × 25243 × 204124156111
2014-09-1125243204124156111938,0661,060.31,980.3

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-02-27ANONYMOUSv4_computers204820480012--0.0010.769%
2009-07-26USAFSSP4_260020000260000--0.0032.110%
2010-12-28JossManual testing3000030000--0.0030.928%
2011-01-08JossManual testing5000050000--0.0051.264%
2011-02-14James HeinrichQ660013500029362506--0.0275.287%
2016-03-16alpertronManual testing5000001500000012---8.224%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-01-17Greg Hewgillv4_computers212580.018
2022-03-09LordJuliusManual testing21260
2009-01-03Sturle Sundeletov.ifi2602610.074
2012-03-19Sebastian HornbostelManual testing2612620.147
2013-09-03ramgeisManual testing2622630.470


ECM factoring results:
Total ECM effort:9.217 GHz-days
Estimated T-Level:21.848
DigitsB1CompleteFacMiss
20110003.9811.867%
25500000.37069.099%
302500000.02397.680%
3510000000.00199.890%


ECM Summary

B1B2factorcurvesGHz-days
10.085
500005000000191.480
50000662838370.674
50000675000070.680
500006900000575.598
50000715000070.700


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-29Greg Hewgillv4_computers3283337806FFD8690.137


PRP results:
dateuseridcompidcofactorsres64
2017-10-06Oliver KruseGTX-3
9877896976416320032984567
04312C58079FED1B
2017-11-16kkmrkkblmbrbkc4.xlarge
9877896976416320032984567
04312C58079FED1B


CERT results:
No CERT results for M2088269


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 135000, B2 = 2936250 (P-1 stage 2)
B1 = 135000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 20000, B2 = 260000 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
263
262
261
260
258
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=21.85 ~= 56-bit
250
260
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Last modified: 2024-02-09T03:30:02+00:00