is 2 1846511 - 1
has 555856 decimal digits
takes 0.100 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L35583B3CDC2A8CBCdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26832.279769.1176 %18465111846511000.92878.0334 %33.208471.5986 %
Target2610.166465.5738 %90007500000.00391.6303 %0.170266.1350 %
Difference+7+32.1134+3.5439 %+1837511+183901100+0.9248+6.4031%+33.0382+5.4635 %

Known prime factors (2 factors, 146.6 bits, 0.00794040% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
184651135439249964617822324312271.586959627371963065
3 × 5 × 13 × 4921166010067
2021-05-28134921166010067258.9121,09139,392
1846511386920866091445586657432375.03410477079911558761
3 × 3492359970519587
2019-12-12334923599705195874,144.014,967,38227,954,901

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2011-02-07Carsten Kossendeymother10000017000006--0.0154.967%
2014-06-09JossManual testing138622138622--0.0112.371%
2014-10-03JossManual testing173382173382--0.0142.614%
2015-07-16mikrMSI27800009176000012--0.60012.890%
2018-08-06JossManual testing184651118465110012--0.92913.778%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2003-01-16ANONYMOUSv4_computers212580.021
2016-02-23Mark RoseManual testing2582600.062
2010-04-08Architects CubedManual testing2602610.083
2016-02-23Mark RoseManual testing2612620.166
2011-01-21GrunwalderGIMPManual testing212630.864
2016-02-23Mark RoseManual testing2622630.532
2015-04-27snme2pm1Manual testing2632641.063
2015-04-27snme2pm1Manual testing2642652.023
2015-09-07ramgeisManual testing2652664.047
2017-10-27TJAOIManual testing2662678.094
2019-06-17TJAOIManual testing26726816.19


ECM factoring results:
Total ECM effort:39.021 GHz-days
Estimated T-Level:25.709
DigitsB1CompleteFacMiss
201100014.9500.000%
25500001.67818.668%
302500000.14286.772%
3510000000.01099.031%


ECM Summary

B1B2factorcurvesGHz-days
500005000000634.250
50000500000020.138
500006600000997.718
500006600000876.782
250000400000004720.13


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-17ANONYMOUSv4_computers35583B3CDC2A8CBC0.100
1999-04-13ANONYMOUSv4_computers35583B3CDC2A8CBC0.100
2015-06-29MadPooManual testing35583B3CDC2A8CBC0.100


PRP results:
dateuseridcompidcofactorsres64
2019-12-15fre_gamesgpu
38692086609144558665743
8B62FCE8420266C1
2019-12-16marssystemsSystem01
38692086609144558665743
8B62FCE8420266C1
2021-05-29marssystemssystem11
38692086609144558665743
3543924996461782232431
8B62FCE8420266C1


CERT results:
dateuseridcompid
2021-05-29curtiscwcm202--31l


P-1 factor-bounds graph:
B1 = 1846511, B2 = 184651100 (P-1 stage 2)
B1 = 2780000, B2 = 91760000 (P-1 stage 2)
B1 = 2780000 (P-1 stage 1)
B1 = 1846511 (P-1 stage 1)
B1 = 100000, B2 = 1700000 (P-1 stage 2)
B1 = 173382 (P-1 stage 1)
B1 = 138622 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
258
this exponent TF target: 61
TF double-checked to: 67
ECM T-Level=25.71 ~= 69-bit
250
260
270
280
JSON version of this page
Last modified: 2024-02-29T14:28:04+00:00