is 2 6908833 - 1
has 2079766 decimal digits
takes 1.507 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L13B3993278920AF9double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272138.421968.0556%40000004143239108.33317.9701%146.755070.6015%
Target2674.300965.6716%450009000000.02902.2357%4.329866.4391%
Difference+5+134.1210+2.3839%+3955000+413423910+8.3042+5.7344%+142.4252+4.1624%

Known prime factors:
No known factors for M6908833

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-08-24ANONYMOUSv4_computers3000030000---0.009--0.234%
2001-12-22ANONYMOUSv4_computers30000210000---0.013--0.645%
2011-11-21James Heinrichi7-9201300002665000---0.085--1.985%
2020-01-09takahashivaio6000001200000012---0.386--3.581%
2021-11-23Seth_TrManual testing400000011000000012---3.091--6.530%
2021-11-30Seth_TrManual testing4000000414323910---8.333--7.970%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-08-02ANONYMOUSv4_computers21262--0.089--
1999-04-13ANONYMOUSv4_computers21262--0.089--
2001-12-22ANONYMOUSv4_computers21263--0.231--
2014-02-09NesowaManual testing263264--0.284--
2014-02-18lycornManual testing264265--0.541--
2015-06-21VictordeHollanderManual testing265266--1.082--
2016-04-01Gordon SpenceManual testing266267--2.163--
2018-05-23ramgeisManual testing267268--4.326--
2019-12-11mnd9Manual testing268269--8.653--
2020-12-21takahashiManual testing269270--17.31--
2021-08-12SRBaseManual testing270271--34.61--
2021-09-25SRBaseManual testing271272--69.22--


ECM factoring results:
Total ECM effort:1.989 GHz-days
Estimated T-Level:1.154
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
50000500000061.989


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-26ANONYMOUSv4_computers77F3D2A8640B38__1.507
1999-10-07ANONYMOUSv4_computers13B3993278920AF91.507
2002-03-03ANONYMOUSv4_computers13B3993278920AF91.507


PRP results:
No PRP results for M6908833


P-1 factor-bounds graph:
B1 = 4000000, B2 = 414323910 (P-1 stage 2)
B1 = 4000000, B2 = 110000000 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 600000, B2 = 12000000 (P-1 stage 2)
B1 = 600000 (P-1 stage 1)
B1 = 130000, B2 = 2665000 (P-1 stage 2)
B1 = 130000 (P-1 stage 1)
B1 = 30000, B2 = 210000 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
TF factor-bounds graph:
272
271
270
269
268
267
266
265
264
263
262
this exponent TF target: 67
TF double-checked to: 67.8
ECM T-Level=1.15 ~= -13-bit
250
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270
280
Last modified: 2023-04-26T21:34:10+00:00