is 2 2658013 - 1
has 800142 decimal digits
takes 0.205 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L1F2AFA8502F730FCdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26944.915868.1159 %2000000500000000.51696.2948 %45.432770.1230 %
Target2630.600565.0794 %1300011000000.00811.6197 %0.608565.6450 %
Difference+6+44.3154+3.0366 %+1987000+48900000+0.5088+4.6751%+44.8241+4.4780 %

Known prime factors (1 factor, 88.4 bits, 0.00332426% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
26580133969622380803414420664150472788.35974672742022018222271
7 × 109 × 97867289674991117
2022-02-081099786728967499111742,629,395597,152,2201.115e+9

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-10-31ANONYMOUSv4_computers2048204800--0.0010.672%
2009-06-23USAFSSP4_260030000420000--0.0062.406%
2011-01-19James Heinrichi7-920250000800000012--0.0756.433%
2017-09-13JossManual testing50000050000006---6.275%
2017-09-19JossManual testing60000060000006--0.1106.604%
2019-11-26masserManual testing20000005000000012--0.57010.341%


Trial Factoring results:
57585960616263646566676869
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-04-02ANONYMOUSv4_computers212590.014
2016-02-23Mark RoseManual testing2592600.029
2009-01-27Sturle Sundegolli.ifi2602610.058
2012-05-24markroldgamer2612620.116
2013-01-14dbaughManual testing2622630.369
2015-02-23VictordeHollanderManual testing2632652.144
2016-01-22ramgeisManual testing2652662.811
2017-09-08Gordon SpenceManual testing2662675.623
2019-05-13TJAOIManual testing26726811.25
2021-06-03TJAOIManual testing26826922.49


ECM factoring results:
Total ECM effort:15.379 GHz-days
Estimated T-Level:22.406
DigitsB1CompleteFacMiss
20110005.2720.513%
25500000.48161.800%
302500000.03097.030%
3510000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
5000050000352.118
50000500000011811.85
50000500000060.604
50000675000070.810


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-09ANONYMOUSv4_computers1F2AFA8502F730FC0.205
2018-04-25gunhedNumber_61F2AFA8502F730FC0.200
2018-07-21kkmrkkblmbrbkold1F2AFA8502F730FC0.200


PRP results:
dateuseridcompidcofactorsres64
2022-02-10Tucker KaoMistakes_of_the_Past
396962238080341442066415047
5C0E00A7F3775BB9


CERT results:
dateuseridcompid
2022-02-10techn1ciaNCimarron


P-1 factor-bounds graph:
B1 = 2000000, B2 = 50000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 600000, B2 = 6000000 (P-1 stage 2)
B1 = 500000, B2 = 5000000 (P-1 stage 2)
B1 = 250000, B2 = 8000000 (P-1 stage 2)
B1 = 600000 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 250000 (P-1 stage 1)
B1 = 30000, B2 = 420000 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
101
102
103
104
105
106
107
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
1017
TF factor-bounds graph:
269
268
267
266
265
263
262
261
260
259
this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=22.41 ~= 58-bit
250
260
270
280
290
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00