is 2 2239219 - 1
has 674073 decimal digits
takes 0.147 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L4A429CF9364F2F43double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26713.269867.1642 %500000150000000.12305.1931 %13.392868.8694 %
Target2620.274464.5161 %110009500000.00591.6584 %0.280365.1046 %
Difference+5+12.9954+2.6481 %+489000+14050000+0.1171+3.5347%+13.1125+3.7648 %

Known prime factors (1 factor, 69.9 bits, 0.00312034% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
223921910798412624869317671832269.871241120065184989
3 × 389297 × 206457679
2015-12-0238929720645767953.3161.10752.0029

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-03-27ANONYMOUSv4_computers204820480012--0.0010.783%
2010-11-08Oscar Östlin7501175011--0.0071.597%
2011-01-14Oscar Östlin8500016362506--0.0164.428%
2014-06-01JossManual testing113664113664--0.0111.964%
2014-09-30JossManual testing142328142328--0.0142.180%
2015-12-02Alexander DubrovinManual testing10000006000000622269.8710.1217.325%
2016-04-23alpertronManual testing5000001500000012---8.287%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2009-01-11Sturle Sundegoscha.ifi2602610.069
2012-04-27Sebastian HornbostelManual testing2612620.137
2013-01-23dbaughManual testing2622630.438
2015-03-10VictordeHollanderManual testing2632640.877
2015-03-10VictordeHollanderManual testing2642651.669
2015-10-25ramgeisManual testing2652663.337


ECM factoring results:
Total ECM effort:7.466 GHz-days
Estimated T-Level:21.502
DigitsB1CompleteFacMiss
20110003.2213.991%
25500000.30074.049%
302500000.01998.111%


ECM Summary

B1B2factorcurvesGHz-days
500005000000151.147
50000538889370.620
500007000000575.699


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-14ANONYMOUSv4_computers4A429CF9364F2F430.147


PRP results:
dateuseridcompidcofactorsres64
2017-09-30alpertronManual testing
1079841262486931767183
A71F38D523DF5F43
2017-10-28Oliver KruseGTX-0
1079841262486931767183
A71F38D523DF5F43


CERT results:
No CERT results for M2239219


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 1000000, B2 = 6000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 85000, B2 = 1636250 (P-1 stage 2)
B1 = 142328 (P-1 stage 1)
B1 = 113664 (P-1 stage 1)
B1 = 85000 (P-1 stage 1)
B1 = 75011 (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
TF factor-bounds graph:
266
265
264
263
262
261
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=21.5 ~= 55-bit
250
260
270
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Last modified: 2024-02-29T14:28:04+00:00