is 2 338773 - 1
has 101981 decimal digits
takes 0.002 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L81355BEC0DF51369double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26787.710471.6418 %2000000018200000001.217411.8921 %88.927875.0142 %
Target2440.000056.8182 %60008500000.000511.9888 %0.000561.9952 %
Difference+23+87.7104+14.8236 %+19994000+1819150000+1.2169-0.0966 %+88.9273+13.0190 %

Known prime factors (2 factors, 141.9 bits, 0.04189190% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
338773237561730775359059132064.36535062081508172
22 × 3 × 541 × 5400813541
2008-09-29541540081354110.5073.03415.6668
3387732217874156928532617014972477.554327339273928048076
22 × 349 × 499 × 3539 × 132779671
2015-02-06353913277967190,3500.07460.1393

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-06-09ANONYMOUSv4_computers32768327680012--0.00221.331%
2002-08-17ANONYMOUSv4_computers65536655360012--0.00423.963%
2003-03-27ANONYMOUSv4_computers1310721310720030--0.00926.546%
2006-01-15Jossv4_computers338773338773--0.00315.612%
2021-06-22George WoltmanManual testing200000001820000000
skipped known factor: 221787415692853261701497
--1.21743.153%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-06-22George WoltmanManual testing1000000083000000027--0.608


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-04-19ANONYMOUSv4_computers212540.007
2022-03-07LordJuliusManual testing254255
2001-03-11ANONYMOUSv4_computers212560.028
2002-02-24ANONYMOUSv4_computers212570.057
2004-01-27ANONYMOUSv4_computers212580.113


ECM factoring results:
Total ECM effort:13.408 GHz-days
Estimated T-Level:27.599
DigitsB1CompleteFacMiss
201100037.4580.000%
25500005.1340.589%
302500000.52059.460%
3510000000.04295.920%
4030000000.00399.726%


ECM Summary

B1B2factorcurvesGHz-days
10.014
5000050000002601.981
500005000000190.146
2500002500000029411.27


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-01-15ANONYMOUSv4_computers81355BEC0DF513690.002


PRP results:
dateuseridcompidcofactorsres64
2017-09-22Oliver KruseOllaptop919EE9DC4DB596__
2017-10-13kkmrkkblmbrbkc4.xlarge
23756173077535905913
221787415692853261701497
919EE9DC4DB5961E
2020-04-18Oliver KruseAddPrpType5
23756173077535905913
221787415692853261701497
1642607B34627FA0


CERT results:
No CERT results for M338773


P-1 factor-bounds graph:
B1 = 20000000, B2 = 1820000000 (P-1 stage 2)
B1 = 20000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 338773 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
101
102
103
104
105
106
107
108
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
258
257
256
255
254
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=27.6 ~= 75-bit
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Last modified: 2024-02-09T03:30:02+00:00