is 2 6998581 - 1
has 2106783 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-LCC5975E7EEEFB6C0double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272136.646868.0556%20000002586265505.05316.9851%141.699970.2869%
Target2674.245765.6716%450009000000.02902.2405%4.274766.4408%
Difference+5+132.4011+2.3839%+1955000+257726550+5.0242+4.7446%+137.4252+3.8461%

Known prime factors:
No known factors for M6998581

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-10-20ANONYMOUSv4_computers35000507500---0.019--0.905%
2012-08-26NesowaEPC850001530000---0.052--1.573%
2014-08-17Nesowanewfs4100009840000---0.292--3.266%
2021-11-18Seth_TrManual testing30000007500000012---2.189--5.989%
2021-12-06Seth_TrManual testing2000000258626550---5.053--6.985%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-07-29ANONYMOUSv4_computers21262--0.088--
2000-05-10Team_Deutschlandv4_computers21263--0.228--
2014-02-09NesowaManual testing263264--0.281--
2014-02-14lycornManual testing264265--0.534--
2014-07-19lycornManual testing265266--1.068--
2016-04-28Gordon SpenceManual testing266267--2.136--
2018-02-24-Anonymous-Manual testing267268--4.271--
2020-04-03TJAOIManual testing268269--8.542--
2020-07-29takahashiManual testing269270--17.08--
2020-09-22takahashiManual testing270271--34.17--
2021-09-25SRBaseManual 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)
2000-06-29ANONYMOUSv4_computersCC5975E7EEEFB6C01.526
2001-11-03ANONYMOUSv4_computersCC5975E7EEEFB6C01.526


PRP results:
No PRP results for M6998581


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 = 507500 (P-1 stage 2)
B1 = 35000 (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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Last modified: 2023-04-26T21:34:10+00:00