is 2 548423 - 1
has 165092 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-L2D6DC68DE6E93439double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26754.180770.1493%1500000018150000002.390912.1516%56.571673.7766%3.6273%
PrimeNet2400.000050.0000%55001900000.000319.7650%0.000359.8825%9.8825%
GPU722440.000054.5455%90003200000.000514.8399%0.000661.2909%6.7454%
Difference+23+54.1807+15.6038%+14991000+1814680000+2.3904-2.6883%+56.5710+12.4857%+12.4857%

Known prime factors (1 factor, 102.0 bits, 0.01860625% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
548423521662676903615025065296567353731102.0414756024792027458960194016
25 × 32 × 7 × 17 × 367 × 739 × 101117 × 5060226793
2015-10-0510111750602267932.532e+115.831810.888

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-12-07T00:00:00Alex Kruppav4_computers1000004000000---0.007--2.533%
2002-04-28T00:00:00ANONYMOUSv4_computers163841638400---0.002--1.182%
2002-06-29T00:00:00ANONYMOUSv4_computers327683276800---0.004--1.787%
2002-09-07T00:00:00ANONYMOUSv4_computers655366553600---0.009--2.532%
2003-05-11T00:00:00ANONYMOUSv4_computers13107213107200---0.018--3.405%
2011-06-23T10:06:00Jocelyn LaroucheManual testing400000400000---0.008--1.501%
2011-06-26T19:18:00Jocelyn LaroucheManual testing434354434354---0.009--1.560%
2011-08-01T01:50:00Jocelyn LaroucheManual testing723923723923---0.015--1.951%
2012-07-14T15:56:00Jocelyn LaroucheManual testing10968461096846---0.023--2.308%
2013-10-09T10:31:00David Campeaui5-2500k122500037975000---0.068--5.757%
2015-10-05T20:08:08mikrDell12250003797500031102.0410.0680.0160.1365.757%
2021-08-19T05:28:28ViliamF3150000001815000000---2.391--12.152%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-03-27T00:00:00ANONYMOUSv4_computers21254--0.004--
2022-03-07T08:27:02LordJuliusManual testing254255--0.004--
2001-04-08T00:00:00ANONYMOUSv4_computers21256--0.018--
2002-01-08T00:00:00ANONYMOUSv4_computers21257--0.035--
2003-12-13T00:00:00ANONYMOUSv4_computers21258--0.070--
2022-03-07T08:27:02LordJuliusManual testing258260--0.210--
2022-03-07T08:27:02LordJuliusManual testing260261--0.280--
2015-07-10T21:07:00NRManual testing261262--0.560--
2015-09-13T15:17:00Gordon SpenceManual testing262263--1.790--
2015-09-13T15:17:00Gordon SpenceManual testing263264--3.580--


ECM factoring results:

Old Calculation Method

Total ECM effort:16.152 GHz-days
Estimated T-Level:26.125
DigitsB1CurvesCompleteFacMiss
2011000424 / 1004.2401.410%
2550000424 / 2801.51421.937%
30250000144 / 6400.22579.838%

New Calculation Method

Total ECM effort:16.152 GHz-days
Estimated T-Level:26.125
DigitsB1CompleteFacMiss
201100021.0320.000%
25500002.5517.798%
302500000.23878.858%
3510000000.01898.228%
4030000000.00199.887%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002804.523
2500002500000014411.63


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-08-18T00:00:00ANONYMOUSv4_computers2D6DC68DE6E934390.008
2015-04-11T07:44:00MadPooManual testing2D6DC68DE6E934390.008


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-27T10:43:41Oliver KruseGTX-2
5216626769036150250652965673537
7A483B76167BA8__no
2017-09-28T09:43:04Oliver KruseManual testing
5216626769036150250652965673537
7A483B76167BA8__no
2017-11-07T05:04:28kkmrkkblmbrbkc4.xlarge
5216626769036150250652965673537
7A483B76167BA8__no
2020-04-19T05:55:01Oliver KruseAddPrpType5
5216626769036150250652965673537
106D736136DC00__no


P-1 factor-bounds graph:
B1 = 15000000, B2 = 1815000000 (P-1 stage 2)
B1 = 15000000 (P-1 stage 1)
B1 = 1225000, B2 = 37975000 (P-1 stage 2)
B1 = 1225000 (P-1 stage 1)
B1 = 1096846 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 723923 (P-1 stage 1)
B1 = 434354 (P-1 stage 1)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 400000 (P-1 stage 1)
B1 = 100000, B2 = 4000000 (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 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 16384 (P-1 stage 1)
103
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1010
TF factor-bounds graph:
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Last modified: 2022-03-07T08:27:02+00:00