is 2 6938731 - 1
has 2088767 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-L2710157F2DF50987double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272137.825468.0556%20000002588493605.05696.9797%142.882470.2852%2.2296%
PrimeNet2630.230063.4921%280007000000.02043.1614%0.250464.6462%1.1542%
GPU722674.282365.6716%450009000000.02902.2373%4.311366.4397%0.7680%
Difference+5+133.5431+2.3839%+1955000+257949360+5.0280+4.7425%+138.5711+3.8455%+1.4616%

Known prime factors:
No known factors for M6938731

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-06-17T06:39:00Roman MaznichenkoWorkShop850001615000---0.053--1.593%
2019-05-10T14:56:40takahashivaio30000050000006---0.176--2.683%
2021-06-02T21:12:31Dylan DelgadoManual testing6300001890000012---0.514--3.948%
2021-12-06T17:45:05Seth_TrManual testing2000000258849360---5.057--6.980%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-07-11T00:00:00ANONYMOUSv4_computers21262--0.089--
2005-03-06T00:00:00ANONYMOUSv4_computers21263--0.230--
2014-02-09T10:11:00NesowaManual testing263264--0.283--
2014-02-16T23:06:00lycornManual testing264265--0.538--
2015-06-26T13:39:00VictordeHollanderManual testing265266--1.077--
2016-04-05T22:46:23Gordon SpenceManual testing266267--2.154--
2018-02-27T00:21:33-Anonymous-Manual testing267268--4.308--
2020-04-24T07:21:05TJAOIManual testing268269--8.616--
2021-07-25T22:34:55takahashiManual testing269270--17.23--
2021-08-10T15:23:12SRBaseManual testing270271--34.46--
2021-09-26T07:25:19SRBaseManual testing271272--68.93--


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)
1999-06-15T00:00:00ankarsvikv4_computers2710157F2DF509871.513
2001-11-03T00:00:00ANONYMOUSv4_computers2710157F2DF509871.513


PRP results:
No PRP results for M6938731


P-1 factor-bounds graph:
B1 = 2000000, B2 = 258849360 (P-1 stage 2)
B1 = 2000000 (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 = 1615000 (P-1 stage 2)
B1 = 85000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-12-06T17:45:05+00:00