is 2 517043 - 1
has 155646 decimal digits
takes 0.008 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LE61F969535F804__double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26757.468971.6418%1500000500000000.08766.1216%57.556573.3778%1.7360%
PrimeNet2400.000052.5000%50001800000.000319.3382%0.000361.6856%9.1856%
GPU722440.000056.8182%90003000000.000514.5804%0.000563.1143%6.2961%
Difference+23+57.4689+14.8236%+1491000+49700000+0.0871-8.4587%+57.5560+10.2635%+10.2635%

Known prime factors (1 factor, 62.3 bits, 0.01204604% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
51704356119432497462324791962.2835426959894773
3 × 54403 × 33251597
2008-01-2354403332515972.87850.03940.0715

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-12-07T00:00:00Alex Kruppav4_computers1000004000000---0.007--2.510%
2002-06-23T00:00:00ANONYMOUSv4_computers327683276800---0.004--1.768%
2002-08-31T00:00:00ANONYMOUSv4_computers655366553600---0.009--2.508%
2003-04-27T00:00:00ANONYMOUSv4_computers13107213107200---0.018--3.376%
2016-03-16T12:43:05alpertronManual testing15000005000000012-
skipped known factor: 5611943249746232479
--0.088--6.122%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-03-15T00:00:00ANONYMOUSv4_computers253254--0.002--
2022-03-07T07:51:04LordJuliusManual 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--0.074--


ECM factoring results:

Old Calculation Method

Total ECM effort:16.071 GHz-days
Estimated T-Level:26.125
DigitsB1CurvesCompleteFacMiss
2011000423 / 1004.2301.425%
2550000423 / 2801.51122.016%
30250000144 / 6400.22579.838%

New Calculation Method

Total ECM effort:16.071 GHz-days
Estimated T-Level:26.125
DigitsB1CompleteFacMiss
201100023.8220.000%
25500003.0214.875%
302500000.28775.083%
3510000000.02297.834%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002794.488
2500002500000014411.58


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-04-07T00:00:00Team Prime Ribv4_computersE61F969535F804__0.008
2002-04-28T00:00:00Team Prime Ribv4_computersE61F969535F804__0.008


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-27T09:52:54Oliver KruseGTX-0
5611943249746232479
55DE66CCCD3F3A__no
2017-11-03T03:41:09kkmrkkblmbrbkc4.xlarge
5611943249746232479
55DE66CCCD3F3A__no
2020-04-19T01:40:36Oliver KruseAddPrpType5
5611943249746232479
71F0C234271522__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)
103
104
105
106
107
103
104
105
106
107
108
TF factor-bounds graph:
267
258
257
256
255
254
250
260
270
280
290
2100
Last modified: 2022-03-07T07:51:04+00:00