is 2 2794093 - 1
has 841106 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-LECB5EFE92C70D75Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26821.332567.6471%3000000900000000.86687.8350%22.199370.1819%2.5349%
PrimeNet2590.027562.7119%120002400000.00272.9260%0.030263.8029%1.0911%
GPU722630.571265.0794%150002600000.00321.7890%0.574465.7041%0.6247%
Difference+5+20.7612+2.5677%+2985000+89740000+0.8636+6.0460%+21.6249+4.4778%+4.4778%

Known prime factors (1 factor, 80.8 bits, 0.00289136% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
279409320865875181265326475314472580.787373392639065079911
97 × 137 × 1061 × 26482444259
2020-11-0710612648244425995,813161.59301.80

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-28T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.243%
2009-07-24T14:32:00BigBrotherMiniluv2000005000000---0.052--3.422%
2017-08-04T01:06:52Jocelyn Larouchelow 4M40000040000006---0.067--3.576%
2019-12-14T18:28:34BigBrotherWinston30000009000000012---0.867--7.835%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:21Mark RoseManual testing21260--0.055--
2009-02-12T22:21:00Sturle Sundegaudi.ifi260261--0.055--
2012-03-07T07:37:00Grant McCrackenhome261262--0.110--
2013-01-10T10:21:00dbaughManual 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--2.674--
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:5.103 GHz-days
Estimated T-Level:2.450
DigitsB1CurvesCompleteFacMiss
201100049 / 1000.49061.112%
255000049 / 2800.17583.919%

New Calculation Method

Total ECM effort:5.103 GHz-days
Estimated T-Level:2.450
DigitsB1CompleteFacMiss
20110001.88515.189%
25500000.17483.998%
302500000.01198.906%


ECM Summary

B1B2factorcurvesGHz-days
500005000000474.895
50000500000020.208


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-16T00:00:00ANONYMOUSv4_computersECB5EFE92C70D75F0.216
2018-08-30T02:48:22kkmrkkblmbrbkoldECB5EFE92C70D75F0.216


PRP results:
dateuseridcompidcofactorsres64PRP
2020-11-07T15:43:25mrhlanai
2086587518126532647531447
BDA37CECAD27C261no
2020-11-07T16:18:47KuyiytereaHP_OMEN
2086587518126532647531447
BDA37CECAD27C261no


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 = 200000, B2 = 5000000 (P-1 stage 2)
B1 = 400000 (P-1 stage 1)
B1 = 200000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
Last modified: 2020-11-07T16:18:47+00:00