is 2 6936977 - 1
has 2088239 decimal digits
takes 1.513 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LFE6EA4D3F30FA503double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272137.860368.0556%40000004143239108.33317.9732%146.193470.6025%
Target2674.283465.6716%450009000000.02902.2372%4.312466.4396%
Difference+5+133.5769+2.3839%+3955000+413423910+8.3042+5.7360%+141.8810+4.1629%

Known prime factors:
No known factors for M6936977

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-06-16Roman MaznichenkoWorkShop850001593750---0.053--1.588%
2019-05-10takahashivaio30000050000006---0.176--2.683%
2021-06-02Dylan DelgadoManual testing6300001890000012---0.514--3.948%
2021-11-19Seth_TrManual testing400000011000000012---3.091--6.532%
2021-12-02Seth_TrManual testing4000000414323910---8.333--7.973%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-07-05ANONYMOUSv4_computers21261--0.044--
1998-07-21ANONYMOUSv4_computers21262--0.089--
2005-03-06ANONYMOUSv4_computers21263--0.230--
2014-02-09NesowaManual testing263264--0.283--
2014-02-16lycornManual testing264265--0.539--
2015-06-26VictordeHollanderManual testing265266--1.077--
2016-04-05Gordon SpenceManual testing266267--2.154--
2018-02-27-Anonymous-Manual testing267268--4.309--
2020-04-24TJAOIManual testing268269--8.618--
2021-07-24takahashiManual testing269270--17.24--
2021-08-11SRBaseManual testing270271--34.47--
2021-09-25SRBaseManual testing271272--68.94--


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)
1997-01-01Paul Victor Novaresegeorge1FE6EA4D3F30FA5031.513
1999-11-17ANONYMOUSv4_computersFE6EA4D3F30FA5031.513


PRP results:
No PRP results for M6936977


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 = 630000, B2 = 18900000 (P-1 stage 2)
B1 = 630000 (P-1 stage 1)
B1 = 300000, B2 = 5000000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 85000, B2 = 1593750 (P-1 stage 2)
B1 = 85000 (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
261
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