is 2 1800577 - 1
has 542028 decimal digits
takes 0.098 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
Actual26716.502468.6567%500000150000000.10155.0587%16.603970.2423%1.5856%
PrimeNet2570.010763.1579%80001500000.00122.8703%0.011964.2154%1.0575%
GPU722610.170665.5738%90001300000.00121.5545%0.171866.1089%0.5351%
Difference+6+16.3318+3.0829%+491000+14870000+0.1002+3.5042%+16.4321+4.1334%+4.1334%

Known prime factors (4 factors, 226.8 bits, 0.01259434% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1800577400016186331135.21911108
22 × 2777
-427773.570e-91.220e-52.224e-5
1800577328649071033750631754.8679126215403
3 × 59 × 51560539
2014-12-1959515605390.00170.22100.4127
18005771332400835368582804572166.85336999273992964
22 × 3 × 19 × 9337 × 17380049
2019-09-0793371738004910.5090.07520.1391
180057710503852852561236455192269.831291680190643367
12577 × 23191555271
2020-04-291257723191555271132.5299.394185.64

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
180057713146494803581819772883488792890.087
1800577532981900827046673380907095528131102.072
18005774201711159853037579594471735552732105.051
1800577437892296788478048914721006331404379137121.720
18005773452081482269461982810765472431629269738124.699
180057713995342315341262884715211323970855332218342136.684
180057717516400658461149581178589234862816384064355770348156.939
1800577138088846943784369578488241835014109213379702320149159.918
180057755983634593656842316297532819548516620621095450358
39
52171.903
180057745995562507362467152368605885464573887760911333005
26922529
58191.551
180057718398969502298266657270384752722331626900621214274
0444532954193882857
69226.771
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-16T12:35:41alpertronManual testing5000001500000012-
skipped known factor: 40001618633
--0.101--5.059%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2014-12-19T12:39:00TJAOIManual testing254255*54.867170.0000.2070.001


ECM factoring results:

Old Calculation Method

Total ECM effort:17.788 GHz-days
Estimated T-Level:24.607
DigitsB1CurvesCompleteFacMiss
2011000258 / 1002.5807.480%
2550000258 / 2800.92139.729%

New Calculation Method

Total ECM effort:17.788 GHz-days
Estimated T-Level:24.607
DigitsB1CompleteFacMiss
20110008.3230.024%
25500000.75247.133%
302500000.04695.474%
3510000000.00299.788%


ECM Summary

B1B2factorcurvesGHz-days
50000500000025517.58
50000500000020.138
50000500000010.069


Lucas-Lehmer results:
No L-L results for M1800577


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-03T18:48:30Oliver KruseGTX-2
40001618633
32864907103375063
4D6F447C73B7AD__no
2017-11-05T11:11:29ATHec2-1xf
40001618633
32864907103375063
4D6F447C73B7AD__no
2019-09-10T12:56:37mnd975211backdoorb
40001618633
32864907103375063
133240083536858280457
5CF32603C61F487Eno
2019-09-11T07:07:48kkmrkkblmbrbkc5.large
40001618633
32864907103375063
133240083536858280457
5CF32603C61F487Eno
2020-04-30T03:33:52atrenchDesktop
40001618633
32864907103375063
133240083536858280457
1050385285256123645519
5CF32603C61F487Eno
2020-04-30T20:08:43oodairacom1
40001618633
32864907103375063
133240083536858280457
1050385285256123645519
5CF32603C61F487Eno


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
267
255
230
240
250
260
270
280
290
2100
Last modified: 2021-01-29T12:54:25+00:00