is 2 2684237 - 1
has 808036 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-LF2C1431E2BA0EFA3double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26944.477068.1159%3000000900000000.86687.1886%45.343870.4080%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+43.8824+3.0366%+2987000+89780000+0.8641+5.5658%+44.7465+4.7619%+4.7619%

Known prime factors:
No known factors for M2684237

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%
2010-12-21T22:27:00Jocelyn LaroucheManual testing2000020000---0.002--0.225%
2010-12-26T02:29:00Jocelyn LaroucheManual testing3000030000---0.003--0.314%
2011-02-03T09:37:00markrtiny1050002283750---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%
2019-07-05T15:32:03BigBrotherWinston30000009000000012---0.867--7.189%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:19Mark RoseManual testing21260--0.057--
2009-01-31T02:32:00Sturle Sundegoober.ifi260261--0.057--
2012-05-11T06:18:00markroldgamer261262--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--
2021-07-26T11:06:12TJAOIManual testing268269--22.27--


ECM factoring results:

Old Calculation Method

Total ECM effort:14.186 GHz-days
Estimated T-Level:22.429
DigitsB1CurvesCompleteFacMiss
2011000136 / 1001.36025.491%
2550000136 / 2800.48661.472%

New Calculation Method

Total ECM effort:14.186 GHz-days
Estimated T-Level:22.429
DigitsB1CompleteFacMiss
20110005.2530.523%
25500000.48661.508%
302500000.03196.979%
3510000000.00199.857%


ECM Summary

B1B2factorcurvesGHz-days
50000500000012212.63
50000505000070.727
50000675000070.833


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-13T00:00:00ANONYMOUSv4_computersF2C1431E2BA0EFA30.207
1999-09-14T00:00:00ANONYMOUSv4_computersF2C1431E2BA0EFA30.207
2018-07-27T06:46:50kkmrkkblmbrbkoldF2C1431E2BA0EFA30.207


PRP results:
No PRP results for M2684237


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 = 30000 (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: 2022-04-13T13:43:42+00:00