is 2 794011 - 1
has 239022 decimal digits
takes 0.016 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26737.422670.1493%500000150000000.03744.5796%37.459971.5163%1.3670%
PrimeNet2400.000050.0000%70003000000.000722.2943%0.000761.1471%11.1471%
GPU722440.000054.5455%130005000000.001117.1042%0.001162.3201%7.7746%
Difference+23+37.4225+15.6038%+487000+14500000+0.0362-12.5246%+37.4588+9.1962%+9.1962%

Known prime factors (2 factors, 122.8 bits, 0.01547070% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
7940113773043295561796331858.389237593893256
23 × 17 × 23 × 75957127
2008-01-1923759571270.07850.11980.2238
794011252081974976805424872064.45115873959868113
359 × 607 × 72845401
2015-09-13607728454016.24790.11500.2147

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
794011951116205618212217226500869466056727137122.839
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-01-02T00:00:00ANONYMOUSv4_computers2000200000---0.000--0.203%
2002-02-10T00:00:00ANONYMOUSv4_computers4096409600---0.001--0.434%
2002-03-31T00:00:00ANONYMOUSv4_computers8192819200---0.002--0.783%
2002-05-25T00:00:00ANONYMOUSv4_computers163841638400---0.003--1.272%
2002-07-27T00:00:00ANONYMOUSv4_computers327683276800---0.006--1.907%
2002-12-31T00:00:00ANONYMOUSv4_computers655376553700---0.012--2.684%
2003-07-21T00:00:00ANONYMOUSv4_computers13107213107200---0.024--3.587%
unknown50000015000000---0.037--4.580%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-02-11T00:00:00ANONYMOUSv4_computers21256--0.012--
2001-12-08T00:00:00ANONYMOUSv4_computers21257--0.024--
2003-09-14T00:00:00ANONYMOUSv4_computers21258--0.048--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.344 GHz-days
Estimated T-Level:25.344
DigitsB1CurvesCompleteFacMiss
2011000321 / 1003.2103.971%
2550000321 / 2801.14631.712%
3025000044 / 6400.06993.351%

New Calculation Method

Total ECM effort:11.344 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100014.6540.000%
25500001.60520.079%
302500000.13187.756%
3510000000.00999.134%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
10.00000e+0
5000050000002776.323
25000025000000445.022


Lucas-Lehmer results:
No L-L results for M794011


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-28T00:52:12Oliver KruseGTX-0
377304329556179633
25208197497680542487
64D976F2B535D6__no
2017-10-13T22:14:26Oliver KruseThreadripper64D976F2B535D6__no
2017-12-17T08:55:04ATHec2-1xf
377304329556179633
25208197497680542487
64D976F2B535D6__no
2020-04-21T05:31:39Oliver KruseAddPrpType5
377304329556179633
25208197497680542487
D5EB5B09126CD3__no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 65537, B2 = 6553700 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 65537 (P-1 stage 1)
B1 = 8192, B2 = 819200 (P-1 stage 2)
B1 = 32768 (P-1 stage 1)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 16384 (P-1 stage 1)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 8192 (P-1 stage 1)
B1 = 4096 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
100
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103
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100
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108
TF factor-bounds graph:
267
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257
256
250
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290
2100
Last modified: 2020-04-21T05:31:39+00:00