is 2 6911273 - 1
has 2080501 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-L748689E579E836E8double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272138.373068.0556%40000004143239108.33317.9703%146.706170.6016%
Target2674.299365.6716%450009000000.02902.2358%4.328366.4392%
Difference+5+134.0737+2.3839%+3955000+413423910+8.3042+5.7345%+142.3778+4.1625%

Known prime factors:
No known factors for M6911273

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-08-24willmorev4_computers3000030000---0.009--0.234%
2011-09-01Carsten Kossendeymother44000013310000---0.361--3.504%
2021-11-22Seth_TrManual testing400000011000000012---3.091--6.530%
2021-12-01Seth_TrManual testing4000000414323910---8.333--7.970%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-07-05ANONYMOUSv4_computers21262--0.089--
2005-02-02ANONYMOUSv4_computers21263--0.231--
2014-02-09NesowaManual testing263264--0.284--
2014-02-17lycornManual testing264265--0.541--
2015-06-26VictordeHollanderManual testing265266--1.081--
2016-04-01Gordon SpenceManual testing266267--2.162--
2018-02-26-Anonymous-Manual testing267268--4.325--
2020-02-04mnd9Manual testing268269--8.650--
2021-07-14takahashiManual testing269270--17.30--
2021-08-11SRBaseManual testing270271--34.60--
2021-09-25SRBaseManual testing271272--69.20--


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_computers2348F077D4478D__1.507
1999-07-04ANONYMOUSv4_computers748689E579E836E81.507
2001-10-06willmorev4_computers748689E579E836E81.507


PRP results:
No PRP results for M6911273


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 = 440000, B2 = 13310000 (P-1 stage 2)
B1 = 440000 (P-1 stage 1)
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
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270
280
Last modified: 2023-04-26T21:34:10+00:00