is 2 1033337 - 1
has 311066 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-LA7774F76E09ACB86double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26728.755370.1493%1000000011100000003.005411.7900%31.760773.6687%3.5194%
PrimeNet2560.009364.2857%4500600000.00031.9523%0.009664.9830%0.6973%
GPU722600.148666.6667%4500180000.00020.6153%0.148966.8718%0.2051%
Difference+7+28.6067+3.4826%+9995500+1109982000+3.0052+11.1748%+31.6118+6.7969%+6.7969%

Known prime factors (1 factor, 63.6 bits, 0.00615769% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1033337142709445117301453192063.6306905271228907
61 × 113201167687
2008-02-19611132011676871.8188265.06495.05

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%
2016-03-17T18:59:23alpertronManual testing3000001000000012---0.036--4.082%
2021-07-13T00:06:21ViliamF3100000001110000000---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 testing21261--0.297--
2022-04-12T03:49:26LordJuliusManual testing261262--0.297--
2022-04-12T03:49:26LordJuliusManual testing262263--0.950--
2022-04-12T03:49:26LordJuliusManual testing26326463.630200.2740.0620.556


ECM factoring results:

Old Calculation Method

Total ECM effort:17.385 GHz-days
Estimated T-Level:25.344
DigitsB1CurvesCompleteFacMiss
2011000322 / 1003.2203.931%
2550000322 / 2801.15031.599%
3025000044 / 6400.06993.351%

New Calculation Method

Total ECM effort:17.385 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100014.6920.000%
25500001.60920.008%
302500000.13187.737%
3510000000.00999.133%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002789.70
25000025000000447.680


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-02-10T00:00:00ANONYMOUSv4_computersA7774F76E09ACB860.031


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-28T18:44:20Oliver KruseGTX-0
14270944511730145319
8250A7F77EA283__no
2017-10-15T20:05:58Oliver KruseThreadripper
14270944511730145319
8250A7F77EA283__no
2017-12-28T01:31:21ATHec2-1xf
14270944511730145319
8250A7F77EA283__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)
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100
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TF factor-bounds graph:
267
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262
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258
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2100
Last modified: 2022-04-12T03:49:26+00:00