is 2 2290339 - 1
has 689461 decimal digits
takes 0.155 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LD8165595C3A19852double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26952.126368.1159 %960000049498834770265.058915.8394 %317.185273.1662 %
Target2620.268264.5161 %1200010000000.00641.7361 %0.274765.1322 %
Difference+7+51.8580+3.5998 %+9588000+49497834770+265.0525+14.1033%+316.9105+8.0340 %

Known prime factors (1 factor, 83.0 bits, 0.00362389% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
229033996673725661588412987610792582.9992110467613344321801
3 × 59 × 193 × 3143561 × 19652881
2023-08-24314356119652881501,7960.39600.6267

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-08-08ANONYMOUSv4_computers2048204800--0.0010.788%
2010-11-07JossManual testing1500015000--0.0020.585%
2010-11-15JossManual testing2000020000--0.0020.721%
2010-11-28Oscar Östlin7501175011--0.0081.603%
2011-01-16Oscar Östlin8500017425006--0.0184.504%
2014-06-11JossManual testing113024113024--0.0111.966%
2014-10-03JossManual testing141048141048--0.0142.180%
2016-01-01JossManual testing35981435981406--0.0546.178%
2019-10-01BigBrotherWinston30000009000000012--0.73812.221%
2023-01-01JossManual testing1000000571651080--3.50214.180%
2023-03-13JossManual testing10000001647746100--9.9015.716%
2023-07-11JossJoss10000003799936140--22.7016.911%
2023-08-24Sid & AndyMagic_8_Ball96000004949883477022582.999303.023.562%


Trial Factoring results:
57585960616263646566676869
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2016-02-23Mark RoseManual testing212600.067
2009-01-11Sturle Sundehindemith.ifi2602610.067
2012-05-12Sebastian HornbostelManual testing2612620.134
2013-01-23dbaughManual testing2622630.429
2015-03-12VictordeHollanderManual testing2632652.489
2015-11-02ramgeisManual testing2652663.263
2017-05-20Gordon SpenceManual testing2662676.525
2019-06-17TJAOIManual testing26726813.05
2021-06-24TJAOIManual testing26826926.10


ECM factoring results:
Total ECM effort:17.742 GHz-days
Estimated T-Level:23.558
DigitsB1CompleteFacMiss
20110007.7220.044%
25500000.71249.088%
302500000.04595.618%
3510000000.00299.791%


ECM Summary

B1B2factorcurvesGHz-days
5000050000140.710
50000500000019116.36
50000645000070.675


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15dawiltsv4_computersD8165595C3A198520.155


PRP results:
dateuseridcompidcofactorsres64
2023-08-24Naegi Makoto12500H
9667372566158841298761079
C1ADA9C0ACD4E12E


CERT results:
dateuseridcompid
2023-08-24junkman2usaCampbell-Server


P-1 factor-bounds graph:
B1 = 9600000, B2 = 49498834770 (P-1 stage 2)
B1 = 1000000, B2 = 3799936140 (P-1 stage 2)
B1 = 1000000, B2 = 1647746100 (P-1 stage 2)
B1 = 1000000, B2 = 571651080 (P-1 stage 2)
B1 = 9600000 (P-1 stage 1)
B1 = 3000000, B2 = 90000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 359814, B2 = 3598140 (P-1 stage 2)
B1 = 359814 (P-1 stage 1)
B1 = 85000, B2 = 1742500 (P-1 stage 2)
B1 = 141048 (P-1 stage 1)
B1 = 113024 (P-1 stage 1)
B1 = 85000 (P-1 stage 1)
B1 = 75011 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
B1 = 15000 (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:
269
268
267
266
265
263
262
261
260
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=23.56 ~= 62-bit
250
260
270
280
290
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00