is 2 2180141 - 1
has 656288 decimal digits
takes 0.143 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
Actual26713.629467.1642%500000150000000.12305.1764%13.752368.8639%1.6997%
PrimeNet2580.017662.0690%100001800000.00182.8583%0.019463.1532%1.0842%
GPU722620.281864.5161%110001600000.00181.5688%0.283665.0728%0.5567%
Difference+5+13.3476+2.6481%+489000+14840000+0.1212+3.6077%+13.4687+3.7911%+3.7911%

Known prime factors (2 factors, 109.7 bits, 0.00502996% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
218014167148342811032.6451540
22 × 5 × 7 × 11
-7113.499e-106.881e-71.358e-6
21801411527522628268321202677292477.01635032656793031304
23 × 3 × 11 × 7537 × 17606402753
2022-06-1175371760640275324,87091.453170.81

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
2180141102570613092993428780566158721784934109.660
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-20T14:55:30alpertronManual testing5000001500000012-
skipped known factor: 6714834281
--0.123--5.176%


Trial Factoring results:
No TF results for M2180141


ECM factoring results:

Old Calculation Method

Total ECM effort:1.609 GHz-days
Estimated T-Level:0.900
DigitsB1CurvesCompleteFacMiss
201100018 / 1000.18083.451%
255000018 / 2800.06493.763%

New Calculation Method

Total ECM effort:1.609 GHz-days
Estimated T-Level:0.900
DigitsB1CompleteFacMiss
20110000.71448.976%
25500000.06693.642%
302500000.00499.585%


ECM Summary

B1B2factorcurvesGHz-days
50000490000010.085
50000500000030.257
50000545000070.621
50000597871870.647


Lucas-Lehmer results:
No L-L results for M2180141


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-09T04:06:06Oliver KruseGTX-2
6714834281
164FF49E862018__no
2017-11-19T06:22:42kkmrkkblmbrbkc4.xlarge
6714834281
164FF49E862018__no
2022-06-17T10:30:27riccardo ubertiNomad2C
6714834281
152752262826832120267729
48E56779F2C998ADno


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
230
240
250
260
270
280
290
2100
Last modified: 2022-06-21T21:02:35+00:00