is 2 3357209 - 1
has 1010621 decimal digits
takes 0.353 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L5BB298314DD22CCFdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26935.561368.1159 %40000001500000001.82068.1361 %37.381970.7101 %
Target2641.060265.6250 %1800015000000.01501.7561 %1.075266.2287 %
Difference+5+34.5011+2.4909 %+3982000+148500000+1.8055+6.3800%+36.3066+4.4814 %

Known prime factors (1 factor, 83.9 bits, 0.00249780% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3357209175103052035777296360542792683.8562607866415760491771
3 × 999763 × 869494875539
2022-05-03999763869494875539583,5017,214.513,474

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2009-07-05Carsten Kossendeymother15000206250--0.0041.496%
2011-10-12USAFSSP4_2600550009075006--0.0153.024%
2014-05-19JossManual testing7411874118--0.0111.291%
2014-09-23JossManual testing9323693236--0.0141.460%
2015-05-24Squeeky_SquirrelP4_2600230000667000012--0.0885.740%
2020-10-30mikrMSI400000015000000012--1.56211.870%
2022-05-24JossManual testing257021115731000--0.9979.072%
2022-08-25JossManual testing10000001000000--0.1313.926%
2022-09-13JossManual testing1000000115731000--1.10410.472%


Trial Factoring results:
57585960616263646566676869
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2009-03-28S485122USB-Z2602610.046
2011-08-15markrManual testing212620.091
2012-11-15GrunwalderGIMPManual testing212630.475
2016-02-23Mark RoseManual testing2622630.292
2015-02-11VictordeHollanderManual testing2632640.585
2015-02-11VictordeHollanderManual testing2642651.113
2016-03-04ramgeisManual testing2652662.226
2017-03-04Gordon SpenceManual testing2662674.452
2018-12-10TJAOIManual testing2672688.904
2021-06-14TJAOIManual testing26826917.81


ECM factoring results:
Total ECM effort:7.900 GHz-days
Estimated T-Level:21.095
DigitsB1CompleteFacMiss
20110002.3699.361%
25500000.21980.325%
302500000.01498.626%


ECM Summary

B1B2factorcurvesGHz-days
500005000000506.382
50000500000040.502
50000675000071.016


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-04ANONYMOUSv4_computers5BB298314DD22CCF0.353


PRP results:
dateuseridcompidcofactorsres64
2022-05-09XZT600G2Mini6
17510305203577729636054279
EAA6FA45CC1EF6F6


CERT results:
dateuseridcompid
2022-05-09curtischum110--03l


P-1 factor-bounds graph:
B1 = 4000000, B2 = 150000000 (P-1 stage 2)
B1 = 1000000, B2 = 115731000 (P-1 stage 2)
B1 = 257021, B2 = 115731000 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 230000, B2 = 6670000 (P-1 stage 2)
B1 = 257021 (P-1 stage 1)
B1 = 230000 (P-1 stage 1)
B1 = 55000, B2 = 907500 (P-1 stage 2)
B1 = 93236 (P-1 stage 1)
B1 = 74118 (P-1 stage 1)
B1 = 55000 (P-1 stage 1)
B1 = 15000, B2 = 206250 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
269
268
267
266
265
264
263
262
261
this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=21.1 ~= 53-bit
250
260
270
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290
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Last modified: 2024-02-29T14:28:04+00:00