is 2 2238091 - 1
has 673733 decimal digits
takes 0.147 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LB47DDC9FE4481CB8double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26713.276567.1642%500000150000000.12305.1927%13.399468.8693%1.7051%
PrimeNet2580.017262.0690%100001800000.00182.8721%0.019063.1584%1.0894%
GPU722620.274564.5161%110001900000.00201.6582%0.276565.1045%0.5884%
Difference+5+13.0020+2.6481%+489000+14810000+0.1210+3.5345%+13.1230+3.7647%+3.7647%

Known prime factors (1 factor, 72.4 bits, 0.00323397% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
223809161417266743769335585112272.3791372090472276805
32 × 5 × 2917 × 10452828037
2009-12-24291710452828037681.2354.295101.41

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-27T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.282%
2016-04-21T17:46:29alpertronManual testing5000001500000012---0.123--5.193%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-02-07T00:00:00ANONYMOUSv4_computers21258--0.017--
1999-03-15T00:00:00ANONYMOUSv4_computers21258--0.017--
2022-03-09T16:36:48LordJuliusManual testing21260--0.069--
2009-01-10T20:51:00Sturle Sundegoscha.ifi260261--0.069--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.257 GHz-days
Estimated T-Level:0.150
DigitsB1CurvesCompleteFacMiss
20110003 / 1000.03097.030%
25500003 / 2800.01198.932%

New Calculation Method

Total ECM effort:0.257 GHz-days
Estimated T-Level:0.150
DigitsB1CompleteFacMiss
20110000.09790.776%
25500000.00999.129%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50000500000030.257


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-14T00:00:00ANONYMOUSv4_computersB47DDC9FE4481CB80.147
1999-03-15T00:00:00ANONYMOUSv4_computersB47DDC9FE4481CB80.147


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-12T07:26:09kkmrkkblmbrbkc4.xlargeD8B5B88DBB3A8B__no
2017-10-28T07:30:57Oliver KruseGTX-2
6141726674376933558511
D8B5B88DBB3A8B__no


P-1 factor-bounds graph:
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
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
267
261
260
258
250
260
270
280
290
2100
Last modified: 2022-03-09T16:36:48+00:00