is 2 6998501 - 1
has 2106759 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-LAC287011A0501D82double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272136.648468.0556%20000002416186504.76016.9176%141.408570.2653%
Target2674.245865.6716%4500072000000.13752.2405%4.383266.4408%
Difference+5+132.4026+2.3839%+1955000+234418650+4.6226+4.6771%+137.0252+3.8246%

Known prime factors:
No known factors for M6998501

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-12-22ANONYMOUSv4_computers3000030000---0.009--0.235%
2011-09-09Carsten Kossendeymother44500013683750---0.369--3.535%
2021-11-07Seth_TrManual testing20000005800000012---1.597--5.525%
2021-12-06Seth_TrManual testing2000000241618650---4.760--6.918%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-07-21ANONYMOUSv4_computers21262--0.088--
2005-09-22ANONYMOUSv4_computers21263--0.228--
2014-02-09NesowaManual testing263264--0.281--
2014-02-14lycornManual testing264265--0.534--
2015-07-03VictordeHollanderManual testing265266--1.068--
2016-04-28Gordon SpenceManual testing266267--2.136--
2018-02-27-Anonymous-Manual testing267268--4.271--
2020-04-03TJAOIManual testing268269--8.542--
2020-07-29takahashiManual testing269270--17.08--
2020-09-22takahashiManual testing270271--34.17--
2021-09-26SRBaseManual testing271272--68.34--


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_computers52DBB34E56643B__1.526
1999-08-31ANONYMOUSv4_computersAC287011A0501D821.526
2002-01-08ANONYMOUSv4_computersAC287011A0501D821.526


PRP results:
No PRP results for M6998501


P-1 factor-bounds graph:
B1 = 2000000, B2 = 241618650 (P-1 stage 2)
B1 = 2000000, B2 = 58000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 445000, B2 = 13683750 (P-1 stage 2)
B1 = 445000 (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: 2023-06-05T21:50:05+00:00