is 2 3681481 - 1
has 1108237 decimal digits
takes 0.387 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L3098FC8873869409double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26816.190567.6471 %10000001303648501.22577.7108 %17.416170.1417 %
Target2640.966865.6250 %2200020000000.01982.0394 %0.986666.3260 %
Difference+4+15.2236+2.0221 %+978000+128364850+1.2059+5.6715%+16.4295+3.8157 %

Known prime factors (2 factors, 128.0 bits, 0.00347758% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
368148177447862204987056711962.7481051857421035
3 × 5 × 10211 × 6867479
2009-08-291021168674790.28890.05850.1064
3681481447528221634282371272065.2796078100384523
41621 × 146034463
2018-08-29416211460344633.67901.21772.2631

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2009-07-12Carsten Kossendeymother20000260000--0.0051.765%
2022-05-16JossManual testing500000130364850
skipped known factor: 7744786220498705671
--1.37010.052%
2022-09-27JossManual testing1000000130364850
skipped known factor: 7744786220498705671
--1.45510.729%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-03-17garyfuv4_computers212600.021
2009-03-08S485122USB-A2602610.042
2018-08-29TJAOIManual testing265266*
65.279
20
0.566
2022-06-15LordJuliusManual testing263267
skipped known factors(?)
2022-03-10JossManual testing267268


ECM factoring results:
Total ECM effort:0.299 GHz-days
DigitsB1CompleteFacMiss


ECM Summary

B1B2factorcurvesGHz-days
10.299


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-04-15ANONYMOUSv4_computers3098FC88738694090.387
1999-08-31ANONYMOUSv4_computers3098FC88738694090.387


PRP results:
dateuseridcompidcofactorsres64
2017-09-20kkmrkkblmbrbkManual testing
7744786220498705671
9F2D6D186E071685
2017-11-29Oliver KruseThreadripper-PC
7744786220498705671
9F2D6D186E071685
2018-08-31Oliver KruseGTX-6
7744786220498705671
44752822163428237127
C658713C359EA28A
2018-09-01arnaudstm-11-010
7744786220498705671
44752822163428237127
C658713C359EA28A


CERT results:
No CERT results for M3681481


P-1 factor-bounds graph:
B1 = 1000000, B2 = 130364850 (P-1 stage 2)
B1 = 500000, B2 = 130364850 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 20000, B2 = 260000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
103
104
105
106
103
104
105
106
107
108
109
TF factor-bounds graph:
268
267
261
260
this exponent TF target: 64
TF double-checked to: 67
250
260
270
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Last modified: 2024-03-13T02:15:48+00:00