is 2 6997411 - 1
has 2106431 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-LC2707B54C93D2EA0double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272136.669668.0556%20000002586265505.05316.9849%141.722870.2869%2.2313%
PrimeNet2630.228163.4921%300008000000.02273.3134%0.250864.7017%1.2096%
GPU722674.246465.6716%450009000000.02902.2404%4.275466.4407%0.7691%
Difference+5+132.4232+2.3839%+1955000+257726550+5.0242+4.7445%+137.4474+3.8461%+1.4622%

Known prime factors:
No known factors for M6997411

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-09-22T00:00:00ANONYMOUSv4_computers3000030000---0.009--0.235%
2002-03-03T00:00:00ANONYMOUSv4_computers3000030000---0.009--0.235%
2011-09-09T04:42:00Carsten Kossendeymother44500013572500---0.367--3.529%
2021-11-12T18:21:23Seth_TrManual testing30000007500000012---2.189--5.988%
2021-12-06T08:04:37Seth_TrManual testing2000000258626550---5.053--6.985%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-10-29T00:00:00ANONYMOUSv4_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--
2015-07-03T01:16:00VictordeHollanderManual testing265266--1.068--
2016-04-28T01:09:03Gordon SpenceManual testing266267--2.136--
2018-02-26T00:49:27-Anonymous-Manual testing267268--4.272--
2020-04-03T12:20:53TJAOIManual testing268269--8.543--
2020-07-29T12:59:51takahashiManual testing269270--17.09--
2020-09-20T07:15:33takahashiManual testing270271--34.17--
2021-09-25T07:19:05SRBaseManual testing271272--68.35--


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)
1999-04-02T00:00:00ANONYMOUSv4_computersCE9BB56F09A862__1.526
1999-08-16T00:00:00ANONYMOUSv4_computersC2707B54C93D2EA01.526
2002-09-29T00:00:00shaneamyv4_computersC2707B54C93D2EA01.526


PRP results:
No PRP results for M6997411


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 = 445000, B2 = 13572500 (P-1 stage 2)
B1 = 445000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-12-06T08:04:37+00:00