is 2 6905473 - 1
has 2078755 decimal digits
takes 1.506 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L5E811C669A94260Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272138.489268.0556%40000004143239108.33317.9697%146.822470.6014%2.5459%
PrimeNet2630.231163.4921%280007000000.02043.1589%0.251664.6453%1.1533%
GPU722674.303065.6716%450009000000.02902.2355%4.331966.4391%0.7674%
Difference+5+134.1863+2.3839%+3955000+413423910+8.3042+5.7342%+142.4904+4.1624%+1.7785%

Known prime factors:
No known factors for M6905473

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-08-24T00:00:00ANONYMOUSv4_computers35000341250---0.016--0.798%
2011-11-20T06:20:00James Heinrichi7-9201300002665000---0.085--1.985%
2020-01-08T03:21:34takahashivaio6000001200000012---0.386--3.581%
2021-11-21T15:08:54Seth_TrManual testing400000011000000012---3.091--6.529%
2021-11-29T22:33:31Seth_TrManual testing4000000414323910---8.333--7.970%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-08-24T00:00:00ANONYMOUSv4_computers21261--0.044--
1998-08-24T00:00:00ANONYMOUSv4_computers21262--0.089--
1998-09-20T00:00:00ANONYMOUSv4_computers21262--0.089--
2005-06-19T00:00:00ANONYMOUSv4_computers21263--0.231--
2014-02-09T10:09:00NesowaManual testing263264--0.284--
2014-02-18T07:34:00lycornManual testing264265--0.541--
2015-06-21T19:55:00VictordeHollanderManual testing265266--1.082--
2016-03-31T14:38:49Gordon SpenceManual testing266267--2.164--
2018-02-27T00:21:28-Anonymous-Manual testing267268--4.329--
2019-12-01T14:00:15mnd9Manual testing268269--8.657--
2020-12-20T22:22:44takahashiManual testing269270--17.31--
2021-08-10T15:26:30SRBaseManual testing270271--34.63--
2021-09-25T07:15:48SRBaseManual testing271272--69.26--


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)
1999-06-15T00:00:00ANONYMOUSv4_computers5E811C669A94260D1.506
2001-09-10T00:00:00ANONYMOUSv4_computers5E811C669A94260D1.506


PRP results:
No PRP results for M6905473


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 = 35000, B2 = 341250 (P-1 stage 2)
B1 = 35000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-11-29T22:33:31+00:00