is 2 2335667 - 1
has 703106 decimal digits
takes 0.158 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LBA877A4A48BD5726double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26712.721867.1642 %50000005050000003.158210.9849 %15.880070.7712 %
Target2620.263064.5161 %1300010000000.00651.7843 %0.269665.1493 %
Difference+5+12.4588+2.6481 %+4987000+504000000+3.1517+9.2006%+15.6105+5.6219 %

Known prime factors (2 factors, 141.4 bits, 0.00605231% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
23356675060344132318690090392168.778108327602614557
3 × 175267 × 206023957
2010-01-2117526720602395737.1371.11582.0536
233566770788153863301020087212272.5841515373421453080
23 × 5 × 72 × 727 × 15647 × 67967
2018-03-131564767967583.190.00180.0031

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-09-21ANONYMOUSv4_computers2048204800--0.0010.792%
2018-03-13alpertronlaptop2500000150000001222272.5840.1268.326%
2021-04-20ViliamF35000000505000000
skipped known factor: 506034413231869009039
skipped known factor: 7078815386330102008721
---15.478%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2009-01-14Sturle Sundeginglo.ifi2602610.066


ECM factoring results:
Total ECM effort:7.125 GHz-days
Estimated T-Level:21.308
DigitsB1CompleteFacMiss
20110002.8106.018%
25500000.26276.977%
302500000.01798.351%


ECM Summary

B1B2factorcurvesGHz-days
10.132
50000500000030.198
50000570312980.771
50000680600070.714
500007000000505.310


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-03-09ANONYMOUSv4_computersBA877A4A48BD57260.158
1998-04-11ANONYMOUSv4_computersBA877A4A48BD57260.158
1998-04-21ANONYMOUSv4_computersBA877A4A48BD57260.158
1998-05-23ANONYMOUSv4_computersBA877A4A48BD57260.158
1998-06-01ANONYMOUSv4_computersBA877A4A48BD57260.158
1998-06-28ANONYMOUSv4_computersBA877A4A48BD57260.158
1998-08-09ANONYMOUSv4_computersBA877A4A48BD57260.158
1999-08-07ANONYMOUSv4_computersBA877A4A48BD57260.158


PRP results:
dateuseridcompidcofactorsres64
2017-10-12Oliver KruseGTX-3
506034413231869009039
17E25F7FDDF0D0A8
2017-11-24kkmrkkblmbrbkc4.xlarge
506034413231869009039
17E25F7FDDF0D0A8
2018-03-13ATHxps
506034413231869009039
7078815386330102008721
B43D3D604CAB11DD
2018-03-14csabaofficeC2F9DB7E5B22EC__
2018-03-15kkmrkkblmbrbkc5.large
506034413231869009039
7078815386330102008721
B43D3D604CAB11DD


CERT results:
No CERT results for M2335667


P-1 factor-bounds graph:
B1 = 5000000, B2 = 505000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
TF factor-bounds graph:
261
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=21.31 ~= 54-bit
250
260
270
280
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Last modified: 2024-03-13T02:15:48+00:00