is 2 2166833 - 1
has 652282 decimal digits
takes 0.142 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L8E0D817C88DA4E52double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26827.507867.6471%25000001250000000.87467.9231%28.382570.2104%2.5633%
PrimeNet2580.017762.0690%100001800000.00182.8551%0.019663.1519%1.0830%
GPU722620.283564.5161%100001600000.00171.5202%0.285365.0556%0.5394%
Difference+6+27.2243+3.1309%+2490000+124840000+0.8729+6.4029%+28.0972+5.1548%+5.1548%

Known prime factors (1 factor, 73.1 bits, 0.00337211% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
216683399004648105128411199032273.0682284547265643647
3 × 67 × 23911 × 475342177
2020-07-14239114753421771,163.12.47124.6115

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-07T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.225%
2010-11-03T21:28:00Jocelyn LaroucheManual testing2000020000---0.002--0.255%
2010-12-30T22:21:00Jocelyn LaroucheManual testing3000030000---0.003--0.354%
2011-01-15T02:57:00Jocelyn LaroucheManual testing5000050000---0.005--0.513%
2011-01-21T14:41:00markrtiny1200002370000---0.023--2.555%
2014-10-05T22:22:00Jocelyn LaroucheManual testing149621149621---0.014--1.009%
2016-03-05T00:24:32Jocelyn LaroucheManual testing22443140397586---0.041--3.211%
2017-09-05T23:15:03Jocelyn Larouchelow 4M44886244886206---0.064--3.601%
2018-01-10T17:48:45mikrMSI250000012500000012---0.875--7.923%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1997-12-09T00:00:00ANONYMOUSv4_computers21257--0.009--
1999-01-29T00:00:00Martijn Ottov4_computers21258--0.018--
2016-02-23T16:29:07Mark RoseManual testing258260--0.053--
2009-01-04T10:26:00Sturle Sundehomilius.ifi260261--0.071--
2009-01-07T00:02:00Sturle Sundegonzo.ifi261262--0.142--
2013-09-08T17:50:00ramgeisManual testing262263--0.453--
2015-03-25T10:09:00VictordeHollanderManual testing263264--0.906--
2015-03-25T10:09:00VictordeHollanderManual testing264265--1.724--
2015-12-30T18:01:39ramgeisManual testing265266--3.449--
2016-11-11T01:20:37Gordon SpenceManual testing266267--6.897--
2019-05-06T12:23:34TJAOIManual testing267268--13.79--


ECM factoring results:

Old Calculation Method

Total ECM effort:8.202 GHz-days
Estimated T-Level:4.800
DigitsB1CurvesCompleteFacMiss
201100096 / 1000.96038.105%
255000096 / 2800.34370.930%

New Calculation Method

Total ECM effort:8.202 GHz-days
Estimated T-Level:4.800
DigitsB1CompleteFacMiss
20110003.0974.519%
25500000.28075.587%
302500000.01798.291%


ECM Summary

B1B2factorcurvesGHz-days
500005000000937.946
50000500000030.256


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-12-09T00:00:00ANONYMOUSv4_computers8E0D817C88DA4E520.142
1999-01-29T00:00:00Martijn Ottov4_computers8E0D817C88DA4E520.142
2018-04-11T14:48:57kkmrkkblmbrbkold8E0D817C88DA4E520.142


PRP results:
dateuseridcompidcofactorsres64PRP
2020-07-15T17:22:57kotenok2000shodan1
9900464810512841119903
7D43938333E79D21no
2020-07-17T07:20:21Sébastien BrouckePortable_Seb
9900464810512841119903
7D43938333E79D21no


P-1 factor-bounds graph:
B1 = 2500000, B2 = 125000000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 448862, B2 = 4488620 (P-1 stage 2)
B1 = 448862 (P-1 stage 1)
B1 = 224431, B2 = 4039758 (P-1 stage 2)
B1 = 120000, B2 = 2370000 (P-1 stage 2)
B1 = 224431 (P-1 stage 1)
B1 = 149621 (P-1 stage 1)
B1 = 120000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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109
TF factor-bounds graph:
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265
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Last modified: 2020-07-17T07:20:21+00:00