is 2 3441203 - 1
has 1035906 decimal digits
takes 0.361 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L66E6A0772488B1FDdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26817.320967.6471 %10000001146568501.09537.5160 %18.416370.0787 %
Target2641.034365.6250 %1900017000000.01681.8539 %1.051266.2623 %
Difference+4+16.2866+2.0221 %+981000+112956850+1.0785+5.6621%+17.3651+3.8164 %

Known prime factors (1 factor, 75.6 bits, 0.00219629% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3441203564234227317935533414572375.5798198211894473176
23 × 29463347 × 34781401
2012-02-0429463347347814012,223.64.53119.1318

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2010-10-09Rob_Deetwopc1000020000--0.0020.527%
2010-10-10Rob_Deetwopc2000030000--0.0030.736%
2010-10-11Rob_Deetwopc3000040000--0.0050.897%
2010-10-12Rob_Deetwopc4000050000--0.0061.032%
2010-10-13Rob_Deetwopc5000060000--0.0081.150%
2010-10-14Rob_Deetwopc6000070000--0.0091.255%
2010-10-15Rob_Deetwopc7000080000--0.0111.351%
2010-10-16Rob_Deetwopc8000090000--0.0121.439%
2010-10-17Rob_Deetwopc90000100000--0.0141.520%
2010-10-18Rob_Deetwopc100000200000--0.0162.076%
2010-10-19Rob_Deetwopc100000300000--0.0172.407%
2010-10-20Rob_Deetwopc100000400000--0.0182.646%
2010-10-21Rob_Deetwopc100000500000--0.0192.832%
2010-10-22Rob_Deetwopc100000600000--0.0192.986%
2010-10-23Rob_Deetwopc100000700000--0.0203.116%
2010-10-24Rob_Deetwopc100000800000--0.0213.230%
2010-10-25Rob_Deetwopc100000900000--0.0223.331%
2010-10-25Rob_Deetwopc1000001000000--0.0233.422%
2021-03-16JossManual testing34412037853236---5.364%
2021-03-17JossManual testing34412037853236---5.364%
2022-01-22JossManual testing1000000114656850--1.14710.484%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2009-03-22S485122USB-A2602610.045
2011-08-11markrManual testing212620.089
2022-05-11LordJuliusManual testing21262
2022-05-11LordJuliusManual testing262263
2022-05-11LordJuliusManual testing263264
2022-05-11LordJuliusManual testing264265
2021-03-16JossManual testing265266
2022-05-11LordJuliusManual testing265266
2022-05-11LordJuliusManual testing266267
2021-06-10JossManual testing267268


ECM factoring results:
Total ECM effort:0.740 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
10.441
50000500000030.299


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-10-29ANONYMOUSv4_computers66E6A0772488B1FD0.361


PRP results:
dateuseridcompidcofactorsres64
2017-11-06kkmrkkblmbrbkc4.xlarge
56423422731793553341457
FBAF75504D040688
2017-11-22Oliver KruseThreadripper-PC
56423422731793553341457
FBAF75504D040688


CERT results:
No CERT results for M3441203


P-1 factor-bounds graph:
B1 = 1000000, B2 = 114656850 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 344120, B2 = 3785323 (P-1 stage 2)
B1 = 344120 (P-1 stage 1)
B1 = 100000, B2 = 1000000 (P-1 stage 2)
B1 = 100000, B2 = 900000 (P-1 stage 2)
B1 = 100000, B2 = 800000 (P-1 stage 2)
B1 = 100000, B2 = 700000 (P-1 stage 2)
B1 = 100000, B2 = 600000 (P-1 stage 2)
B1 = 100000, B2 = 500000 (P-1 stage 2)
B1 = 100000, B2 = 400000 (P-1 stage 2)
B1 = 100000, B2 = 300000 (P-1 stage 2)
B1 = 100000, B2 = 200000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 90000, B2 = 100000 (P-1 stage 2)
B1 = 90000 (P-1 stage 1)
B1 = 80000, B2 = 90000 (P-1 stage 2)
B1 = 80000 (P-1 stage 1)
B1 = 70000, B2 = 80000 (P-1 stage 2)
B1 = 70000 (P-1 stage 1)
B1 = 60000, B2 = 70000 (P-1 stage 2)
B1 = 60000 (P-1 stage 1)
B1 = 50000, B2 = 60000 (P-1 stage 2)
B1 = 50000 (P-1 stage 1)
B1 = 40000, B2 = 50000 (P-1 stage 2)
B1 = 40000 (P-1 stage 1)
B1 = 30000, B2 = 40000 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
B1 = 20000, B2 = 30000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
B1 = 10000, B2 = 20000 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
103
104
105
106
107
108
103
104
105
106
107
108
109
TF factor-bounds graph:
268
267
266
265
264
263
262
261
this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=0.58 ~= -15-bit
250
260
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280
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Last modified: 2024-02-29T14:28:04+00:00