is 2 1668211 - 1
has 502182 decimal digits
takes 0.079 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LF5C35CA708ADF5F3double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26717.811868.6567%1000000200000000.13895.6949%17.950770.4417%1.7850%
PrimeNet2570.011563.1579%70001200000.00092.5689%0.012464.1043%0.9465%
GPU722610.184165.5738%7000800000.00071.2065%0.184965.9891%0.4153%
Difference+6+17.6277+3.0829%+993000+19920000+0.1381+4.4884%+17.7658+4.4526%+4.4526%

Known prime factors (1 factor, 69.8 bits, 0.00418225% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
166821110057971586808638645932269.769301459814939736
23 × 32 × 145069 × 28861727
2013-03-2314506928861727125.180.11670.2004

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2004-02-07T00:00:00markrv4_computers20000315000---0.002--1.033%
2012-02-29T17:09:00AxonManual testing100000100000---0.007--0.880%
2012-02-29T17:13:00AxonManual testing200000200000---0.014--1.284%
2012-02-29T18:09:00AxonManual testing300000300000---0.020--1.565%
2012-02-29T18:12:00AxonManual testing400000400000---0.027--1.785%
2012-02-29T19:10:00AxonManual testing500000500000---0.034--1.967%
2012-02-29T19:13:00AxonManual testing600000600000---0.041--2.124%
2012-02-29T20:09:00AxonManual testing700000700000---0.048--2.262%
2012-02-29T20:12:00AxonManual testing800000800000---0.055--2.385%
2012-02-29T21:10:00AxonManual testing900000900000---0.061--2.496%
2012-02-29T21:14:00AxonManual testing10000001000000---0.068--2.598%
2012-03-01T06:08:00AxonManual testing10000008000000---0.094--4.729%
2012-03-01T07:09:00AxonManual testing100000020000000---0.139--5.695%
2016-03-17T19:18:09alpertronManual testing5000001500000012---0.088--5.012%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-11-14T00:00:00ANONYMOUSv4_computers21257--0.012--
2010-04-30T00:12:00Architects Cubedi4l_1260261--0.092--
2010-08-22T04:21:00GrunwalderGIMPManual testing21263--0.957--


ECM factoring results:

Old Calculation Method

Total ECM effort:14.712 GHz-days
Estimated T-Level:24.429
DigitsB1CurvesCompleteFacMiss
2011000248 / 1002.4808.270%
2550000248 / 2800.88641.177%

New Calculation Method

Total ECM effort:14.712 GHz-days
Estimated T-Level:24.429
DigitsB1CompleteFacMiss
20110008.0000.034%
25500000.72348.528%
302500000.04595.645%
3510000000.00299.796%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50000500000024814.71


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-21T00:00:00ANONYMOUSv4_computersF5C35CA708ADF5F30.079


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-02T21:59:37Oliver KruseGTX-1
1005797158680863864593
6F57A064C4E207__no
2017-11-02T21:39:16ATHec2-1xf
1005797158680863864593
6F57A064C4E207__no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 20000000 (P-1 stage 2)
B1 = 1000000, B2 = 8000000 (P-1 stage 2)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 900000 (P-1 stage 1)
B1 = 800000 (P-1 stage 1)
B1 = 700000 (P-1 stage 1)
B1 = 600000 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 400000 (P-1 stage 1)
B1 = 300000 (P-1 stage 1)
B1 = 200000 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 20000, B2 = 315000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
103
104
105
106
103
104
105
106
107
108
TF factor-bounds graph:
267
263
261
257
250
260
270
280
290
2100
Last modified: 2019-12-16T13:28:02+00:00