is 2 867233 - 1
has 261064 decimal digits
takes 0.021 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L224544747BF87A9Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26868.729970.5882%1500000011010818882702,109.896320.1664%2,178.626376.5195%5.9313%
PrimeNet2400.000050.0000%80003400000.000923.0599%0.000961.5300%11.5300%
GPU722440.000054.5455%140005500000.001517.6075%0.001562.5489%8.0034%
Difference+24+68.7299+16.0428%+14986000+1101081338270+2,109.8948+2.5589%+2,178.6248+13.9707%-2.0721%

Known prime factors:
No known factors for M867233

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-01-08T00:00:00ANONYMOUSv4_computers2000200000---0.000--0.167%
2002-02-17T00:00:00ANONYMOUSv4_computers4096409600---0.001--0.366%
2002-04-14T00:00:00ANONYMOUSv4_computers8192819200---0.002--0.674%
2002-05-25T00:00:00ANONYMOUSv4_computers163841638400---0.004--1.112%
2002-06-29T00:00:00ANONYMOUSv4_computers327683276800---0.007--1.691%
2002-12-16T00:00:00ANONYMOUSv4_computers655376553700---0.015--2.407%
2003-08-25T00:00:00ANONYMOUSv4_computers13107213107200---0.029--3.250%
2011-02-20T14:43:00Jocelyn LaroucheManual testing200000200000---0.007--1.006%
2011-07-12T13:44:00Jocelyn LaroucheManual testing239769239769---0.008--1.108%
2011-08-31T00:06:00Jocelyn LaroucheManual testing399616399616---0.014--1.427%
2012-01-22T03:55:00Jocelyn LaroucheManual testing799232799232---0.028--1.939%
2012-03-29T23:12:00Jocelyn LaroucheManual testing11988481198848---0.042--2.282%
2012-09-21T00:58:00Jocelyn LaroucheManual testing17344661734466---0.061--2.622%
2012-10-25T06:30:00Jocelyn LaroucheManual testing19438821943882---0.068--2.732%
2013-11-09T05:36:00David Campeaui5-2500k202000072720000---0.206--6.497%
2015-12-01T09:50:57Sid & AndyRocky867233026016990012---0.787--8.849%
2022-08-30T23:21:24lycorncolab_DG_1150000001101081888270---2,110--20.166%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-08-24T00:00:00ANONYMOUSv4_computers21255--0.006--
2000-12-31T00:00:00ANONYMOUSv4_computers21256--0.011--
2001-12-01T00:00:00ANONYMOUSv4_computers21257--0.022--
2003-09-09T00:00:00ANONYMOUSv4_computers21258--0.044--
2022-03-07T09:34:17LordJuliusManual testing258259--0.044--
2004-05-11T00:00:00Sturle Sundev4_computers21260--0.177--
2010-05-25T01:20:00Architects Cubeda3_bu2260261--0.177--
2015-02-06T11:10:00TJAOIManual testing261262--0.354--
2015-10-11T18:08:10Gordon SpenceManual testing262263--1.132--
2015-10-11T18:08:10Gordon SpenceManual testing263264--2.264--
2016-02-12T13:56:18lycornManual testing264265--4.308--
2018-05-18T04:21:48BloodERazorManual testing265266--8.617--
2019-03-21T09:31:51lycornManual testing266267--17.23--
2022-02-23T21:46:30Gordon SpenceManual testing267268--34.47--


ECM factoring results:
Total ECM effort:14.825 GHz-days
Estimated T-Level:25.703
DigitsB1CompleteFacMiss
201100015.3150.000%
25500001.70118.256%
302500000.14186.883%
3510000000.01099.052%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002807.832
25000025000000506.993


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-01-28T00:00:00ANONYMOUSv4_computers224544747BF87A9F0.021
2015-04-11T21:16:00MadPooManual testing224544747BF87A9F0.021


PRP results:
No PRP results for M867233


P-1 factor-bounds graph:
B1 = 15000000, B2 = 1101081888270 (P-1 stage 2)
B1 = 8672330, B2 = 260169900 (P-1 stage 2)
B1 = 15000000 (P-1 stage 1)
B1 = 8672330 (P-1 stage 1)
B1 = 2020000, B2 = 72720000 (P-1 stage 2)
B1 = 2020000 (P-1 stage 1)
B1 = 1943882 (P-1 stage 1)
B1 = 1734466 (P-1 stage 1)
B1 = 1198848 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 799232 (P-1 stage 1)
B1 = 65537, B2 = 6553700 (P-1 stage 2)
B1 = 399616 (P-1 stage 1)
B1 = 239769 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 65537 (P-1 stage 1)
B1 = 8192, B2 = 819200 (P-1 stage 2)
B1 = 32768 (P-1 stage 1)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 16384 (P-1 stage 1)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 8192 (P-1 stage 1)
B1 = 4096 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-08-30T23:21:24+00:00