is 2 2238703 - 1
has 673917 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-L59410C5A1E9889A9double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26826.624767.6471 %2000000650000000.51797.0396 %27.142669.9246 %
Target2620.274464.5161 %110009500000.00591.6583 %0.280465.1046 %
Difference+6+26.3503+3.1309 %+1989000+64050000+0.5120+5.3813%+26.8623+4.8200 %

Known prime factors (1 factor, 70.3 bits, 0.00314198% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
223870314939113026053209792792270.340333655536845513
5701 × 58525791413
2020-02-17570158525791413106.74304.00567.78

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-03-27ANONYMOUSv4_computers204820480012--0.0010.783%
2010-11-08Oscar Östlin7501175011--0.0071.596%
2011-01-14Oscar Östlin8500016362506--0.0164.428%
2014-06-01JossManual testing113670113670--0.0111.964%
2014-09-30JossManual testing142340142340--0.0142.180%
2015-12-02Alexander DubrovinManual testing100000060000006--0.1217.325%
2016-01-10Alexander DubrovinManual testing20000006500000012--0.51811.423%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-02-07ANONYMOUSv4_computers212580.017
2016-02-23Mark RoseManual testing2582600.051
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 testing2652663.338
2016-12-29Gordon SpenceManual testing2662676.676
2019-04-08TJAOIManual testing26726813.35


ECM factoring results:
Total ECM effort:8.483 GHz-days
Estimated T-Level:21.706
DigitsB1CompleteFacMiss
20110003.6602.573%
25500000.34171.090%
302500000.02297.858%
3510000000.00199.898%


ECM Summary

B1B2factorcurvesGHz-days
500005000000393.206
50000500000020.176
508337167453505.100


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15ANONYMOUSv4_computers59410C5A1E9889A90.147
2018-04-21kkmrkkblmbrbkold59410C5A1E9889A90.147


PRP results:
dateuseridcompidcofactorsres64
2020-02-18Christoph ZengerManual testing
1493911302605320979279
BCCA2847167FB390
2020-02-18AbsolutXTR750D
1493911302605320979279
BCCA2847167FB390


CERT results:
No CERT results for M2238703


P-1 factor-bounds graph:
B1 = 2000000, B2 = 65000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 1000000, B2 = 6000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 85000, B2 = 1636250 (P-1 stage 2)
B1 = 142340 (P-1 stage 1)
B1 = 113670 (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
107
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
258
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=21.71 ~= 55-bit
250
260
270
280
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Last modified: 2024-02-29T14:28:04+00:00