is 2 1133861 - 1
has 341327 decimal digits
takes 0.034 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L5EFCDD0CB765B294double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26726.206068.6567 %1225000355250000.13306.1676 %26.338970.5898 %
Target2600.135565.0000 %50001300000.00050.7682 %0.136065.2689 %
Difference+7+26.0705+3.6567 %+1220000+35395000+0.1325+5.3993%+26.2030+5.3210 %

Known prime factors (1 factor, 83.3 bits, 0.00734512% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1133861117713486647372045374661272683.2835190825270794746683
3 × 31 × 55815325492416631
2015-07-2231558153254924166311,727,667130,690,034244,092,589

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-03-31Jossv4_computers10000102500--0.0011.587%
2013-10-07David Campeaui5-2500k12250003552500012--0.13811.172%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-07-12ANONYMOUSv4_computers212560.008
2001-11-24ANONYMOUSv4_computers212570.017
2003-04-27ANONYMOUSv4_computers212580.034
2022-03-07LordJuliusManual testing258260
2009-02-17Sturle Sundeduma.ifi2602610.135
2012-08-14AxelssonManual testing2612620.271
2012-10-18dbaughManual testing2622630.866
2014-12-26Matthias WurtingerManual testing2632641.732
2015-01-16lycornManual testing2642653.295
2015-07-06omylistManual testing2652666.591


ECM factoring results:
Total ECM effort:17.587 GHz-days
Estimated T-Level:25.658
DigitsB1CompleteFacMiss
201100014.8080.000%
25500001.62019.795%
302500000.13287.678%
3510000000.00999.129%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002789.70
50000500000030.106
25000025000000447.777


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2004-05-11ANONYMOUSv4_computers5EFCDD0CB765B2940.034


PRP results:
dateuseridcompidcofactorsres64
2017-09-29Oliver KruseGTX-1
11771348664737204537466127
0B135BFCB3222221
2017-10-17Oliver KruseThreadripper-PC
11771348664737204537466127
0B135BFCB3222221
2018-01-04ATHec2-1xh
11771348664737204537466127
0B135BFCB3222221


CERT results:
No CERT results for M1133861


P-1 factor-bounds graph:
B1 = 1225000, B2 = 35525000 (P-1 stage 2)
B1 = 1225000 (P-1 stage 1)
B1 = 10000, B2 = 102500 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
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TF factor-bounds graph:
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this exponent TF target: 60
TF double-checked to: 67
ECM T-Level=25.66 ~= 69-bit
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Last modified: 2024-02-09T03:30:02+00:00