is 2 6998909 - 1
has 2106882 decimal digits
takes 1.526 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LF8A0DA1CD7A128A9double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272136.640468.0556%20000002586265505.05316.9851%141.693570.2869%2.2313%
PrimeNet2630.228063.4921%300008000000.02273.3135%0.250864.7017%1.2097%
GPU722674.245565.6716%450009000000.02902.2405%4.274566.4408%0.7691%
Difference+5+132.3949+2.3839%+1955000+257726550+5.0242+4.7446%+137.4190+3.8461%+1.4622%

Known prime factors:
No known factors for M6998909

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-09-22T00:00:00ANONYMOUSv4_computers35000481250---0.019--0.891%
2012-08-26T09:12:00NesowaEPC850001530000---0.052--1.573%
2014-08-17T09:32:00Nesowanewfs4100009840000---0.292--3.266%
2021-11-19T00:41:14Seth_TrManual testing30000007500000012---2.189--5.989%
2021-12-06T08:18:52Seth_TrManual testing2000000258626550---5.053--6.985%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-07-21T00:00:00Phantomasv4_computers21262--0.088--
2005-09-22T00:00:00ANONYMOUSv4_computers21263--0.228--
2014-02-09T10:18:00NesowaManual testing263264--0.281--
2014-02-14T08:55:00lycornManual testing264265--0.534--
2014-07-19T23:22:00lycornManual testing265266--1.068--
2016-04-28T01:09:03Gordon SpenceManual testing266267--2.135--
2018-02-25T11:47:56-Anonymous-Manual testing267268--4.271--
2020-04-03T12:20:52TJAOIManual testing268269--8.542--
2020-07-29T12:59:51takahashiManual testing269270--17.08--
2020-09-22T23:36:40takahashiManual testing270271--34.17--
2021-09-25T07:18:42SRBaseManual testing271272--68.33--


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)
1999-06-15T00:00:00richsv4_computersF8A0DA1CD7A128A91.526
2001-10-13T00:00:00ANONYMOUSv4_computersF8A0DA1CD7A128A91.526


PRP results:
No PRP results for M6998909


P-1 factor-bounds graph:
B1 = 2000000, B2 = 258626550 (P-1 stage 2)
B1 = 3000000, B2 = 75000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 2000000 (P-1 stage 1)
B1 = 410000, B2 = 9840000 (P-1 stage 2)
B1 = 410000 (P-1 stage 1)
B1 = 85000, B2 = 1530000 (P-1 stage 2)
B1 = 85000 (P-1 stage 1)
B1 = 35000, B2 = 481250 (P-1 stage 2)
B1 = 35000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-12-06T08:18:52+00:00