is 2 1106993 - 1
has 333239 decimal digits
takes 0.033 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LC98308C10108FEF4double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26726.842068.6567 %300000100000000.03564.1181 %26.877669.9475 %
Target2600.138765.0000 %45001100000.00040.6848 %0.139265.2397 %
Difference+7+26.7033+3.6567 %+295500+9890000+0.0352+3.4334%+26.7384+4.7078 %

Known prime factors (1 factor, 61.8 bits, 0.00558102% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
110699339636473709918514811961.7821790276619180
22 × 3 × 5 × 7 × 19 × 224345441
2011-01-04192243454410.27750.52530.9811

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-03-03Jossv4_computers15000165000--0.0012.039%
2016-03-17alpertronManual testing3000001000000012---8.203%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-12-01ANONYMOUSv4_computers212570.017
2022-03-07firejugglerManual testing257260
2022-03-07LordJuliusManual testing257260
2022-04-12LordJuliusManual testing21261
2009-02-16Sturle Sundegopher.ifi2602610.139
2022-04-12LordJuliusManual testing262263
2022-04-12LordJuliusManual testing263264


ECM factoring results:
Total ECM effort:17.516 GHz-days
Estimated T-Level:25.654
DigitsB1CompleteFacMiss
201100014.6920.000%
25500001.60920.008%
302500000.13187.737%
3510000000.00999.133%


ECM Summary

B1B2factorcurvesGHz-days
10.106
5000050000002789.66
25000025000000447.751


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-04-20ANONYMOUSv4_computersC98308C10108FEF40.033


PRP results:
dateuseridcompidcofactorsres64
2017-09-29Oliver KruseGTX-3
3963647370991851481
48111331E507C1FF
2017-10-16Oliver KruseThreadripper-PC
3963647370991851481
48111331E507C1FF
2018-01-02ATHec2-1xh
3963647370991851481
48111331E507C1FF


CERT results:
No CERT results for M1106993


P-1 factor-bounds graph:
B1 = 300000, B2 = 10000000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 15000, B2 = 165000 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
264
263
261
260
257
this exponent TF target: 60
TF double-checked to: 67
ECM T-Level=25.65 ~= 69-bit
250
260
270
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Last modified: 2024-02-09T03:30:02+00:00