is 2 3315593 - 1
has 998093 decimal digits
takes 0.348 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L987E55F9851E8CFAdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26936.007768.1159 %40000001500000001.82068.1263 %37.828270.7069 %
Target2641.073565.6250 %1700015000000.01491.7237 %1.088466.2175 %
Difference+5+34.9342+2.4909 %+3983000+148500000+1.8057+6.4026%+36.7398+4.4894 %

Known prime factors (1 factor, 77.3 bits, 0.00233160% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
33155931868855412839647654642972477.30728182822994855636
22 × 41 × 5869 × 29280368321
2022-06-185869292803683219,231.6242.95453.75

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2009-08-14Carsten Kossendeymother15000195000--0.0041.467%
2011-10-03USAFSSP4_2600550008800006--0.0152.996%
2012-11-19Squeeky_SquirrelP4_260018000032850006--0.0534.831%
2017-05-30JossManual testing36000036000006--0.0825.303%
2020-03-31mikrMSI400000015000000012--1.56211.858%
2022-08-25JossManual testing10000001000000--0.1313.920%
2022-09-13JossManual testing1000000118249950--1.12510.489%


Trial Factoring results:
57585960616263646566676869
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-01-21ANONYMOUSv4_computers212600.023
2009-03-31S485122USB-Z2602610.046
2011-09-10Grant McCrackenthumper2612620.093
2011-10-25Aaron HavilandManual testing2622630.296
2011-10-25Aaron HavilandManual testing2632640.592
2011-10-25Aaron HavilandManual testing2642651.127
2016-03-02YxinityManual testing2652662.254
2017-02-25Gordon SpenceManual testing2662674.508
2018-11-26TJAOIManual testing2672689.015
2021-07-08TJAOIManual testing26826918.03


ECM factoring results:
Total ECM effort:9.878 GHz-days
Estimated T-Level:21.371
DigitsB1CompleteFacMiss
20110002.9685.141%
25500000.27476.024%
302500000.01798.283%


ECM Summary

B1B2factorcurvesGHz-days
50000480000070.860
500005000000506.368
50000500000050.626
50000669976171.010
50000675000071.014


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-03-09ANONYMOUSv4_computers987E55F9851E8CFA0.348
1999-07-04ANONYMOUSv4_computers987E55F9851E8CFA0.348


PRP results:
dateuseridcompidcofactorsres64
2022-06-24Poaooffice-CN3
186885541283964765464297
B4CD09CE60DC18C7


CERT results:
dateuseridcompid
2022-06-24Aerow5950X


P-1 factor-bounds graph:
B1 = 4000000, B2 = 150000000 (P-1 stage 2)
B1 = 1000000, B2 = 118249950 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 360000, B2 = 3600000 (P-1 stage 2)
B1 = 360000 (P-1 stage 1)
B1 = 180000, B2 = 3285000 (P-1 stage 2)
B1 = 180000 (P-1 stage 1)
B1 = 55000, B2 = 880000 (P-1 stage 2)
B1 = 55000 (P-1 stage 1)
B1 = 15000, B2 = 195000 (P-1 stage 2)
B1 = 15000 (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
264
263
262
261
260
this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=21.37 ~= 54-bit
250
260
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280
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Last modified: 2024-02-29T14:28:04+00:00