is 2 2071189 - 1
has 623491 decimal digits
takes 0.136 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L77EBABC1EF9A4770double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26714.346368.6567 %500000150000000.12305.1446 %14.469370.2692 %
Target2620.296666.1290 %90006500000.00421.3665 %0.300866.5919 %
Difference+5+14.0497+2.5277 %+491000+14350000+0.1188+3.7781%+14.1685+3.6773 %

Known prime factors (1 factor, 78.7 bits, 0.00380096% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
20711894995644201976732742105192478.725120598463056165631
9343 × 12907895007617
2014-07-2793431290789500761729,55667,047125,225

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-02-24ANONYMOUSv4_computers204820480012--0.0010.767%
2009-07-25USAFSSP4_260020000260000--0.0032.107%
2010-12-26JossManual testing3000030000--0.0030.926%
2011-01-06JossManual testing5000050000--0.0051.262%
2011-01-19James HeinrichQ660013500030712506--0.0285.330%
2016-03-16alpertronManual testing5000001500000012---8.216%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-01-17ANONYMOUSv4_computers212580.019
2022-03-09LordJuliusManual testing21260
2009-01-03Sturle Sundehindemith.ifi2602610.074
2012-03-16Sebastian HornbostelManual testing2612620.148
2013-09-01ramgeisManual testing2622630.474


ECM factoring results:
Total ECM effort:13.096 GHz-days
Estimated T-Level:22.087
DigitsB1CompleteFacMiss
20110004.3941.235%
25500000.41765.875%
302500000.02797.360%
3510000000.00199.873%


ECM Summary

B1B2factorcurvesGHz-days
10.170
500005000000262.074
50000530000070.609
50000675000070.679
50000700000070.691
50000715000010.100
5000018092760508.772


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-30ANONYMOUSv4_computers77EBABC1EF9A47700.136


PRP results:
dateuseridcompidcofactorsres64
2017-10-06Oliver KruseGTX-3
499564420197673274210519
FDCFFB00D5107955
2017-11-16ATHec2-1xh
499564420197673274210519
FDCFFB00D5107955


CERT results:
No CERT results for M2071189


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 135000, B2 = 3071250 (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
1013
1014
TF factor-bounds graph:
263
262
261
260
258
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=22.09 ~= 57-bit
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Last modified: 2024-02-09T03:30:02+00:00