is 2 1854563 - 1
has 558280 decimal digits
takes 0.101 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
Actual26716.022168.6567%500000150000000.10155.0767%16.123570.2479%1.5912%
PrimeNet2570.010463.1579%90001600000.00143.0245%0.011764.2722%1.1143%
GPU722610.165665.5738%90001500000.00131.6318%0.166966.1355%0.5618%
Difference+6+15.8564+3.0829%+491000+14850000+0.1002+3.4449%+15.9566+4.1124%+4.1124%

Known prime factors (4 factors, 177.2 bits, 0.00955238% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1854563122401159926.86733
3 × 11
-3114.855e-122.703e-74.803e-7
1854563393352812311135.19510605
3 × 5 × 7 × 101
2008-07-1571013.197e-99.535e-71.121e-6
18545638268079716324311549.555222911805
3 × 5 × 1217 × 12211
2014-05-061217122115.291e-50.00010.0002
1854563535742786313635517292065.53814443909058728
23 × 5821 × 310168121
2017-12-1658213101681214.53401.32972.4828

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
185456348146840122653467291962.062
18545631012022539982486763875292476.422
1854563325227240881943435452025612684.750
185456365575537970678324819860539112892.405
1854563210735931671263908426323129839931100.733
1854563398081912223220586717696235616819934111.617
18545634429564064686838977751991424252319935115.093
185456325794322279507509386251817200911244444139127.600
1854563542183775382420062923218964886544664198764143141.960
1854563174238148215188287134287134843265237170677796946150.288
185456321326951283552827748461533943604948374100843156126
6071
54177.155
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-16T12:36:11alpertronManual testing5000001500000012-
skipped known factor: 122401159
skipped known factor: 39335281231
skipped known factor: 826807971632431
--0.101--5.077%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-15T07:47:00J FeitsmaManual testing??35.195117.29227e-100.2151.55825e-9
2014-05-06T12:36:00TJAOIManual testing??49.555151.24728e-50.2152.66425e-5


ECM factoring results:

Old Calculation Method

Total ECM effort:19.815 GHz-days
Estimated T-Level:24.607
DigitsB1CurvesCompleteFacMiss
2011000258 / 1002.5807.480%
2550000258 / 2800.92139.729%

New Calculation Method

Total ECM effort:19.815 GHz-days
Estimated T-Level:24.607
DigitsB1CompleteFacMiss
201100010.6380.002%
25500000.97937.570%
302500000.06293.976%
3510000000.00399.709%


ECM Summary

B1B2factorcurvesGHz-days
500005000000332.283
50000500000020.138
50000660000022317.39


Lucas-Lehmer results:
No L-L results for M1854563


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-04T07:04:26Oliver KruseGTX-2
122401159
39335281231
826807971632431
83526A79230D9D__no
2017-11-07T02:52:36kkmrkkblmbrbkc4.xlarge
122401159
39335281231
826807971632431
83526A79230D9D__no
2017-12-19T03:34:24Oliver KruseGTX-0
122401159
39335281231
826807971632431
53574278631363551729
7D8124FD1D3CB3__no
2017-12-19T10:54:21kkmrkkblmbrbkc4.xlarge
122401159
39335281231
826807971632431
53574278631363551729
7D8124FD1D3CB3__no


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
TF factor-bounds graph:
267
2
220
230
240
250
260
270
280
290
2100
Last modified: 2021-07-09T11:24:37+00:00