is 2 2684233 - 1
has 808035 decimal digits
takes 0.207 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LBFD0A5A136B21111double-checked
PRPEE851C88134ED1F4verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26944.477168.1159%3000000900000000.86687.1886%45.343970.4080%2.2920%
PrimeNet2590.028662.7119%120002200000.00262.8400%0.031263.7709%1.0590%
GPU722630.594665.0794%130002200000.00271.6228%0.597365.6461%0.5667%
Difference+6+43.8825+3.0366%+2987000+89780000+0.8641+5.5658%+44.7466+4.7619%+4.7619%

Known prime factors (1 factor, 75.9 bits, 0.00282825% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2684233713198527054922062902172375.91713284959373029876
22 × 7 × 19 × 24971728144793
2021-12-1819249717281447934,699.4152,369284,583

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-08T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.193%
2003-11-28T00:00:00Team Prime Ribv4_computers15000217500---0.003--0.671%
2010-11-20T12:25:00Jocelyn LaroucheManual testing2000020000---0.002--0.225%
2010-12-04T08:22:00markrtiny1050002283750---0.025--2.264%
2016-06-15T12:00:40Jocelyn LaroucheManual testing16180345675006---0.045--2.883%
2016-12-19T18:37:55Jocelyn Larouchelow 4M194163194163---0.022--1.054%
2017-01-10T10:25:17Jocelyn Larouchelow 4M232995232995---0.026--1.159%
2017-04-07T19:41:23Jocelyn Larouchelow 4M33551233551206---0.056--3.007%
2018-09-03T21:22:24Jocelyn Larouchelow 4M486614486614---0.054--1.650%
2019-07-05T11:46:00BigBrotherWinston30000009000000012---0.867--7.189%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:19Mark RoseManual testing21260--0.057--
2009-01-31T02:11:00Sturle Sundegoober.ifi260261--0.057--
2012-05-11T07:35:00markroldgamer261262--0.114--
2013-01-14T12:26:00dbaughManual testing262263--0.366--
2015-02-23T17:25:00VictordeHollanderManual testing263264--0.731--
2015-02-23T17:25:00VictordeHollanderManual testing264265--1.392--
2016-01-26T10:48:52ramgeisManual testing265266--2.784--
2017-09-13T08:55:33Gordon SpenceManual testing266267--5.568--
2019-05-06T12:23:21TJAOIManual testing267268--11.14--
2021-07-26T11:06:13TJAOIManual testing268269--22.27--


ECM factoring results:

Old Calculation Method

Total ECM effort:12.831 GHz-days
Estimated T-Level:22.196
DigitsB1CurvesCompleteFacMiss
2011000123 / 1001.23029.049%
2550000123 / 2800.43964.399%

New Calculation Method

Total ECM effort:12.831 GHz-days
Estimated T-Level:22.196
DigitsB1CompleteFacMiss
20110003.9831.862%
25500000.36069.748%
302500000.02297.805%
3510000000.00199.898%


ECM Summary

B1B2factorcurvesGHz-days
50000500000011511.90
50000500000010.103
50000665000070.827


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-26T00:00:00ANONYMOUSv4_computersBFD0A5A136B211110.207
1999-11-10T00:00:00ANONYMOUSv4_computersBFD0A5A136B211110.207
2018-07-27T06:31:03kkmrkkblmbrbkoldBFD0A5A136B211110.207


PRP results:
dateuseridcompidcofactorsres64PRP
2021-12-19T02:12:03Tucker KaoMistakes_of_the_Past
71319852705492206290217
EE851C88134ED1F4no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 90000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 335512, B2 = 3355120 (P-1 stage 2)
B1 = 486614 (P-1 stage 1)
B1 = 161803, B2 = 4567500 (P-1 stage 2)
B1 = 335512 (P-1 stage 1)
B1 = 232995 (P-1 stage 1)
B1 = 105000, B2 = 2283750 (P-1 stage 2)
B1 = 194163 (P-1 stage 1)
B1 = 161803 (P-1 stage 1)
B1 = 105000 (P-1 stage 1)
B1 = 15000, B2 = 217500 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
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: 2021-12-19T02:12:03+00:00