is 2 2807303 - 1
has 845083 decimal digits
takes 0.217 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LB6FFB5B272039FB2double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26942.527268.1159%50000002000000001.74988.4830%44.277070.8207%2.7047%
PrimeNet2590.027462.7119%120002400000.00272.9285%0.030163.8038%1.0920%
GPU722630.568565.0794%150002600000.00321.7906%0.571765.7047%0.6253%
Difference+6+41.9587+3.0366%+4985000+199740000+1.7466+6.6924%+43.7053+5.1160%+5.1160%

Known prime factors (1 factor, 90.6 bits, 0.00322626% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
280730318389688330072553083042773692890.571327533015318840771428
22 × 17 × 137 × 35158116715204033
2021-11-2713735158116715204033118,859,074214,522,621400,668,515

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-28T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.196%
2010-11-12T22:13:00Jocelyn LaroucheManual testing1500015000---0.002--0.176%
2010-11-19T06:47:00markrtiny1000002100000---0.023--2.212%
2014-11-25T02:49:00Jocelyn LaroucheManual testing122863122863---0.014--0.823%
2015-01-29T22:02:00Jocelyn LaroucheManual testing148663148663---0.017--0.918%
2015-01-30T21:42:00Jocelyn LaroucheManual testing163529163529---0.018--0.968%
2015-01-31T14:55:00Jocelyn LaroucheManual testing179881179881---0.020--1.019%
2015-02-01T13:32:00Jocelyn LaroucheManual testing197869197869---0.022--1.073%
2015-02-06T22:00:00Jocelyn LaroucheManual testing435310435310---0.049--1.580%
2015-02-25T03:47:00Jocelyn LaroucheManual testing478841478841---0.054--1.649%
2015-03-02T13:10:00Jocelyn LaroucheManual testing526725526725---0.059--1.720%
2015-03-12T10:39:00Jocelyn LaroucheManual testing579397579397---0.065--1.793%
2015-03-15T18:55:00Jocelyn LaroucheManual testing637336637336---0.071--1.868%
2015-03-29T20:50:00Jocelyn LaroucheManual testing771175771175---0.086--2.023%
2015-04-08T16:59:00Jocelyn LaroucheManual testing848292848292---0.095--2.102%
2015-05-01T17:21:00Jocelyn LaroucheManual testing10264331026433---0.115--2.268%
2015-05-22T00:29:00Jocelyn LaroucheManual testing11290761129076---0.126--2.353%
2015-05-26T18:17:00Jocelyn LaroucheManual testing12419831241983---0.139--2.440%
2015-06-08T13:43:00Jocelyn LaroucheManual testing13661811366181---0.153--2.528%
2015-06-25T21:15:00Jocelyn LaroucheManual testing15027991502799---0.168--2.619%
2015-07-07T18:13:00Jocelyn LaroucheManual testing16530781653078---0.185--2.711%
2016-05-09T02:17:49mognutsStanley15000135000---0.002--0.577%
2016-08-04T04:14:10Jocelyn LaroucheManual testing165307833061566---0.195--3.409%
2018-04-29T00:33:48Jocelyn Larouchelow 4M280730356146066---0.332--4.026%
2019-11-13T13:54:42masserManual testing30000003000000012---0.501--5.945%
2020-01-11T17:53:47masserManual testing500000020000000012---1.750--8.483%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:22Mark RoseManual testing21260--0.055--
2009-02-12T23:47:00Sturle Sundefungo.ifi260261--0.055--
2012-02-25T13:35:00markroldgamer261262--0.109--
2013-01-14T12:31:00dbaughManual testing262263--0.350--
2015-04-21T09:19:00VictordeHollanderManual testing263264--0.699--
2015-04-21T09:19:00VictordeHollanderManual testing264265--1.331--
2016-02-10T11:15:46ramgeisManual testing265266--2.662--
2017-10-24T17:48:47Gordon SpenceManual testing266267--5.324--
2018-12-30T14:49:39chuenkitManual testing267268--10.65--
2021-06-07T10:36:04TJAOIManual testing268269--21.30--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.556 GHz-days
Estimated T-Level:21.946
DigitsB1CurvesCompleteFacMiss
2011000109 / 1001.09033.438%
2550000109 / 2800.38967.707%

New Calculation Method

Total ECM effort:11.556 GHz-days
Estimated T-Level:21.946
DigitsB1CompleteFacMiss
20110003.5472.880%
25500000.32172.548%
302500000.02098.042%


ECM Summary

B1B2factorcurvesGHz-days
500005000000939.69
50000500000020.208
50000645000070.821
50000665000070.834


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-02T00:00:00ANONYMOUSv4_computersB6FFB5B272039FB20.217
2018-09-02T19:50:21kkmrkkblmbrbkoldB6FFB5B272039FB20.217


PRP results:
dateuseridcompidcofactorsres64PRP
2021-11-27T23:00:48MarkSdesktop-i7
1838968833007255308304277369
F3679D294ABD64DFno
2021-11-27T23:12:56Tucker KaoOld_Timer_2013
1838968833007255308304277369
F3679D294ABD64DFno


P-1 factor-bounds graph:
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 3000000, B2 = 30000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 2807303, B2 = 5614606 (P-1 stage 2)
B1 = 2807303 (P-1 stage 1)
B1 = 1653078, B2 = 3306156 (P-1 stage 2)
B1 = 1653078 (P-1 stage 1)
B1 = 1502799 (P-1 stage 1)
B1 = 1366181 (P-1 stage 1)
B1 = 1241983 (P-1 stage 1)
B1 = 1129076 (P-1 stage 1)
B1 = 1026433 (P-1 stage 1)
B1 = 848292 (P-1 stage 1)
B1 = 771175 (P-1 stage 1)
B1 = 637336 (P-1 stage 1)
B1 = 579397 (P-1 stage 1)
B1 = 526725 (P-1 stage 1)
B1 = 478841 (P-1 stage 1)
B1 = 435310 (P-1 stage 1)
B1 = 100000, B2 = 2100000 (P-1 stage 2)
B1 = 197869 (P-1 stage 1)
B1 = 179881 (P-1 stage 1)
B1 = 163529 (P-1 stage 1)
B1 = 148663 (P-1 stage 1)
B1 = 122863 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 15000, B2 = 135000 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-11-27T23:12:56+00:00