is 2 513769 - 1
has 154660 decimal digits
takes 0.007 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L06E70F2E4F0CBD__double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26757.835271.6418%1500000500000000.08766.1174%57.922873.3766%1.7348%
PrimeNet2400.000052.5000%50001700000.000319.1617%0.000361.6018%9.1018%
GPU722440.000056.8182%90003000000.000514.5690%0.000563.1093%6.2911%
Difference+23+57.8352+14.8236%+1491000+49700000+0.0871-8.4516%+57.9222+10.2673%+10.2673%

Known prime factors (1 factor, 62.7 bits, 0.01220469% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
51376975120241141790825691962.7047310702002436
22 × 7 × 503 × 519078529
2007-08-185035190785292.78220.59801.1169

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-12-07T00:00:00Alex Kruppav4_computers1000004000000---0.007--2.508%
2002-06-23T00:00:00ANONYMOUSv4_computers327683276800---0.004--1.766%
2002-08-31T00:00:00ANONYMOUSv4_computers655366553600---0.009--2.506%
2003-04-27T00:00:00ANONYMOUSv4_computers13107213107200---0.018--3.373%
2016-03-16T12:42:33alpertronManual testing15000005000000012---0.088--6.117%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-03-08T00:00:00ANONYMOUSv4_computers253254--0.002--
2022-03-07T07:50:59LordJuliusManual testing254255--0.005--
2001-04-01T00:00:00ANONYMOUSv4_computers21256--0.019--
2001-12-22T00:00:00ANONYMOUSv4_computers21257--0.037--
2003-12-13T00:00:00ANONYMOUSv4_computers21258--0.075--


ECM factoring results:

Old Calculation Method

Total ECM effort:16.097 GHz-days
Estimated T-Level:26.125
DigitsB1CurvesCompleteFacMiss
2011000425 / 1004.2501.396%
2550000425 / 2801.51821.859%
30250000144 / 6400.22579.838%

New Calculation Method

Total ECM effort:16.097 GHz-days
Estimated T-Level:26.125
DigitsB1CompleteFacMiss
201100023.8990.000%
25500003.0284.840%
302500000.28775.049%
3510000000.02297.832%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002814.519
2500002500000014411.58


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-03-31T00:00:00Team Prime Ribv4_computers06E70F2E4F0CBD__0.007
2002-04-28T00:00:00Team Prime Ribv4_computers06E70F2E4F0CBD__0.007


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-27T09:50:39Oliver KruseGTX-2
7512024114179082569
CC416BA611D304__no
2017-09-28T09:42:35Oliver KruseManual testing
7512024114179082569
CC416BA611D304__no
2017-11-07T05:56:34kkmrkkblmbrbkc4.xlarge
7512024114179082569
CC416BA611D304__no
2020-04-19T01:00:29Oliver KruseAddPrpType5
7512024114179082569
C64D27519A3142__no


P-1 factor-bounds graph:
B1 = 1500000, B2 = 50000000 (P-1 stage 2)
B1 = 1500000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 100000, B2 = 4000000 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
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101
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109
TF factor-bounds graph:
267
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257
256
255
254
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2100
Last modified: 2022-03-07T07:50:59+00:00