is 2 1033667 - 1
has 311165 decimal digits
takes 0.031 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LD69C472DFD4BA2D2double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26728.746170.1493%1000000011100000003.005411.7903%31.751573.6688%3.5195%
PrimeNet2560.009364.2857%4500600000.00031.9525%0.009664.9830%0.6973%
GPU722600.148666.6667%4500180000.00020.6153%0.148866.8718%0.2051%
Difference+7+28.5975+3.4826%+9995500+1109982000+3.0052+11.1750%+31.6027+6.7970%+6.7970%

Known prime factors (1 factor, 60.8 bits, 0.00588397% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
103366720362355850861161591960.821984957237237
3 × 8537 × 38458367
2007-09-228537384583670.17740.09040.1682

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-01-22T00:00:00Jocelyn Larouchev4_computers100010000---6.40496e-5--0.036%
2002-01-28T00:00:00Jocelyn Larouchev4_computers100010000---6.40496e-5--0.036%
2002-05-11T00:00:00Jocelyn Larouchev4_computers50005000---0.000--0.062%
2016-03-17T18:59:24alpertronManual testing3000001000000012---0.036--4.082%
2021-07-14T11:50:08ViliamF3100000001110000000-
skipped known factor: 2036235585086116159
--3.005--11.790%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-11-10T00:00:00ANONYMOUSv4_computers21257--0.019--
2003-02-02T00:00:00ANONYMOUSv4_computers21258--0.037--
2022-04-12T03:49:26LordJuliusManual testing2126160.821190.1770.0620.360
2022-04-12T03:49:26LordJuliusManual testing261262--0.297--
2022-04-12T03:49:26LordJuliusManual testing262263--0.950--
2022-04-12T03:49:26LordJuliusManual testing263264--1.899--


ECM factoring results:

Old Calculation Method

Total ECM effort:17.490 GHz-days
Estimated T-Level:25.344
DigitsB1CurvesCompleteFacMiss
2011000325 / 1003.2503.815%
2550000325 / 2801.16131.261%
3025000044 / 6400.06993.351%

New Calculation Method

Total ECM effort:17.490 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100014.8080.000%
25500001.62019.795%
302500000.13287.678%
3510000000.00999.129%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002819.81
25000025000000447.680


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-02-10T00:00:00ANONYMOUSv4_computersD69C472DFD4BA2D20.031


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-28T18:45:11Oliver KruseGTX-3
2036235585086116159
62FF04C2AE4398__no
2017-10-15T20:11:57Oliver KruseThreadripper
2036235585086116159
62FF04C2AE4398__no
2017-12-28T02:52:15ATHec2-1xf
2036235585086116159
62FF04C2AE4398__no


P-1 factor-bounds graph:
B1 = 10000000, B2 = 1110000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 300000, B2 = 10000000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 5000 (P-1 stage 1)
B1 = 1000, B2 = 10000 (P-1 stage 2)
B1 = 1000 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
264
263
262
261
258
257
250
260
270
280
290
2100
Last modified: 2022-04-12T03:49:26+00:00