is 2 2793941 - 1
has 841061 decimal digits
takes 0.216 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LF6799F4A263FFC04double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26821.333667.6471%3000000900000000.86687.8350%22.200470.1819%2.5348%
PrimeNet2590.027562.7119%120002400000.00272.9260%0.030263.8029%1.0910%
GPU722630.571265.0794%150002600000.00321.7890%0.574465.7041%0.6247%
Difference+5+20.7624+2.5677%+2985000+89740000+0.8636+6.0460%+21.6260+4.4778%+4.4778%

Known prime factors (1 factor, 97.4 bits, 0.00348433% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
27939412019734844541827309477571359613097.35036144908653078703334780
22 × 32 × 5 × 7 × 112 × 31 × 29587 × 258480979369
2020-12-11295872584809793691.149e+101,577.22,945.7

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-28T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.243%
2010-11-14T17:33:00Jocelyn LaroucheManual testing1500015000---0.002--0.211%
2010-11-22T13:23:00markrtiny1000002075000---0.023--2.484%
2014-11-03T03:43:00Jocelyn LaroucheManual testing122973122973---0.014--0.946%
2016-05-07T02:42:11Jocelyn LaroucheManual testing20000036000006---0.043--3.184%
2017-07-30T01:18:50Jocelyn Larouchelow 4M40000040000006---0.067--3.576%
2019-12-14T11:06:45BigBrotherWinston30000009000000012---0.867--7.835%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:21Mark RoseManual testing21260--0.055--
2009-02-12T21:03:00Sturle Sundegaudi.ifi260261--0.055--
2012-03-08T01:28:00Grant McCrackenthumper261262--0.110--
2013-01-14T12:31:00dbaughManual testing262263--0.351--
2015-04-21T09:20:00VictordeHollanderManual testing263264--0.703--
2015-04-21T09:20:00VictordeHollanderManual testing264265--1.337--
2016-02-09T10:41:51ramgeisManual testing265266--2.675--
2017-10-19T22:32:33Gordon SpenceManual testing266267--5.349--
2019-02-26T09:24:39chuenkitManual testing267268--10.70--


ECM factoring results:

Old Calculation Method

Total ECM effort:6.040 GHz-days
Estimated T-Level:2.900
DigitsB1CurvesCompleteFacMiss
201100058 / 1000.58055.827%
255000058 / 2800.20781.260%

New Calculation Method

Total ECM effort:6.040 GHz-days
Estimated T-Level:2.900
DigitsB1CompleteFacMiss
20110001.87115.397%
25500000.16984.443%
302500000.01098.964%


ECM Summary

B1B2factorcurvesGHz-days
500005000000545.624
50000500000040.417


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-02T00:00:00ANONYMOUSv4_computersF6799F4A263FFC040.216
2018-08-30T01:06:29kkmrkkblmbrbkoldF6799F4A263FFC040.216


PRP results:
dateuseridcompidcofactorsres64PRP
2020-12-12T10:54:18Maciej KmieciakAsrock
201973484454182730947757135961
0CE9FC884938831Ano
2020-12-13T00:18:15Kirill Frolovshodan1
201973484454182730947757135961
0CE9FC884938831Ano


P-1 factor-bounds graph:
B1 = 3000000, B2 = 90000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 400000, B2 = 4000000 (P-1 stage 2)
B1 = 400000 (P-1 stage 1)
B1 = 200000, B2 = 3600000 (P-1 stage 2)
B1 = 100000, B2 = 2075000 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 122973 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
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102
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109
1010
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1012
TF factor-bounds graph:
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266
265
264
263
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261
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2100
Last modified: 2020-12-13T00:18:15+00:00