is 2 2992973 - 1
has 900975 decimal digits
takes 0.255 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LE9D464EB67B58B0Bdouble-checked
PRP43DA1919A8FBD7A0verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26939.889068.1159%3000000900000000.95527.2682%40.844270.4334%2.3174%
PrimeNet2600.051363.3333%120002200000.00292.5140%0.054264.2551%0.9218%
GPU722641.189265.6250%130002000000.00291.3863%1.192166.1015%0.4765%
Difference+5+38.6998+2.4909%+2987000+89800000+0.9523+5.8819%+39.6521+4.3318%+4.3318%

Known prime factors (1 factor, 72.7 bits, 0.00242763% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
299297374531314437816345593032272.6581245105024967087
67 × 18583657089061
2021-10-316718583657089061440.37124,952233,376

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-03-22T00:00:00ANONYMOUSv4_computers15000165000---0.003--0.627%
2010-11-03T08:49:00Oscar Östlin30000427500---0.006--1.075%
2011-01-29T18:15:00markrtiny1100002420000---0.029--2.356%
2016-09-15T03:47:43Jocelyn Larouchelow 4M14200026620006---0.034--2.531%
2016-09-21T12:09:18Jocelyn Larouchelow 4M1420002928200---0.036--2.588%
2016-09-22T12:02:45Jocelyn Larouchelow 4M1420003221020---0.038--2.645%
2016-12-24T02:28:29Jocelyn Larouchelow 4M204480204480---0.025--1.104%
2017-02-25T21:07:59Jocelyn Larouchelow 4M29445129445106---0.054--2.906%
2017-10-04T07:45:22Jocelyn Larouchelow 4M58890258890206---0.108--3.716%
2019-12-01T03:38:29BigBrotherWinston30000009000000012---0.955--7.268%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-05-09T00:00:00ANONYMOUSv4_computers21260--0.051--
2009-02-12T18:47:00Sturle Sundeghia.ifi260261--0.051--
2011-11-24T19:06:00Sebastian HornbostelManual testing261262--0.103--
2013-01-07T13:51:00dbaughManual testing262263--0.328--
2015-02-04T08:01:00lycornManual testing263264--0.656--
2015-02-04T08:02:00lycornManual testing264265--1.248--
2016-02-24T09:33:32ramgeisManual testing265266--2.497--
2017-12-07T01:23:27Gordon SpenceManual testing266267--4.994--
2018-12-28T09:55:52chuenkitManual testing267268--9.99--
2021-04-21T11:48:38TJAOIManual testing268269--19.97--


ECM factoring results:

Old Calculation Method

Total ECM effort:10.891 GHz-days
Estimated T-Level:4.600
DigitsB1CurvesCompleteFacMiss
201100092 / 1000.92039.668%
255000092 / 2800.32971.953%

New Calculation Method

Total ECM effort:10.891 GHz-days
Estimated T-Level:4.600
DigitsB1CompleteFacMiss
20110003.5772.796%
25500000.33171.831%
302500000.02197.932%


ECM Summary

B1B2factorcurvesGHz-days
500005000000809.287
50000670000050.667
50000675000070.937


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-06-28T00:00:00Filenv4_computers520FE4A208BB06__0.255
1999-05-16T00:00:00ANONYMOUSv4_computersE9D464EB67B58B0B0.255
2000-05-05T00:00:00ANONYMOUSv4_computersE9D464EB67B58B0B0.255
2001-03-25T00:00:00ANONYMOUSv4_computersE9D464EB67B58B0B0.255
2018-10-22T21:43:01kkmrkkblmbrbkoldE9D464EB67B58B0B0.255


PRP results:
dateuseridcompidcofactorsres64PRP
2021-11-01T18:48:08kutensterra
7453131443781634559303
43DA1919A8FBD7A0no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 90000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 588902, B2 = 5889020 (P-1 stage 2)
B1 = 588902 (P-1 stage 1)
B1 = 294451, B2 = 2944510 (P-1 stage 2)
B1 = 142000, B2 = 3221020 (P-1 stage 2)
B1 = 294451 (P-1 stage 1)
B1 = 142000, B2 = 2928200 (P-1 stage 2)
B1 = 142000, B2 = 2662000 (P-1 stage 2)
B1 = 110000, B2 = 2420000 (P-1 stage 2)
B1 = 204480 (P-1 stage 1)
B1 = 142000 (P-1 stage 1)
B1 = 110000 (P-1 stage 1)
B1 = 30000, B2 = 427500 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
B1 = 15000, B2 = 165000 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-11-01T18:48:08+00:00