is 2 285031 - 1
has 85803 decimal digits
takes 0.002 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LA05616701726CBD9double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267104.248071.6418%14500000029725311115501,606.029823.8421%1,710.277878.4030%6.7612%
PrimeNet2400.000052.5000%3000800000.000115.0486%0.000159.6481%7.1481%
GPU722440.000056.8182%50001300000.000110.8678%0.000161.5111%4.6929%
Difference+23+104.2480+14.8236%+144995000+2972530981550+1,606.0297+12.9743%+1,710.2777+16.8919%+16.8919%

Known prime factors:
No known factors for M285031

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-05-06T00:00:00ANONYMOUSv4_computers1000004000000---0.003--2.290%
2001-07-03T00:00:00ANONYMOUSv4_computers10000010000000---0.006--2.766%
2002-06-09T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.590%
2002-08-17T00:00:00ANONYMOUSv4_computers655366553600---0.004--2.281%
2003-03-16T00:00:00ANONYMOUSv4_computers13107213107200---0.008--3.100%
2003-11-28T00:00:00ANONYMOUSv4_computers26214426214400---0.017--4.036%
2006-01-15T00:00:00Jocelyn Larouchev4_computers285031285031---0.003--1.144%
2011-02-18T23:05:00Jocelyn LaroucheManual testing20000002000000---0.020--2.646%
2012-08-06T00:09:00markrManual testing10000000400000000---0.310--9.263%
2012-08-08T08:27:00ANONYMOUSManual testing10000000500000000---0.364--9.556%
2019-05-09T13:07:38Alexhome100000000200000000012---2.017--12.648%
2022-06-23T20:20:44Sid & AndySpeck1450000002972531111550---1,606--23.842%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-24T00:00:00ANONYMOUSv4_computers252253--0.002--
2000-05-05T00:00:00ANONYMOUSv4_computers21254--0.008--
2022-03-07T06:11:39LordJuliusManual testing254255--0.008--
2001-02-25T00:00:00ANONYMOUSv4_computers21256--0.034--
2002-03-10T00:00:00ANONYMOUSv4_computers21257--0.067--
2004-02-07T00:00:00ANONYMOUSv4_computers21258--0.135--
2009-01-02T03:26:00Sturle Sundegollumilla.ifi258259--0.135--
2009-01-23T21:28:00Sturle Sundegorro.ifi259260--0.269--
2013-06-24T20:15:00lycornasteroid260261--0.539--
2015-08-13T13:31:00NRManual testing261262--1.078--
2016-01-06T11:11:14Gordon SpenceManual testing262263--3.444--
2016-01-06T11:11:14Gordon SpenceManual testing263264--6.888--
2018-03-29T22:24:18BloodERazorManual testing264265--13.11--
2019-12-03T22:23:16Gordon SpenceManual testing265266--26.22--


ECM factoring results:

Old Calculation Method

Total ECM effort:23.473 GHz-days
Estimated T-Level:29.570
DigitsB1CurvesCompleteFacMiss
2011000880 / 1008.8000.014%
2550000865 / 2803.0894.528%
30250000585 / 6400.91440.061%

New Calculation Method

Total ECM effort:23.473 GHz-days
Estimated T-Level:29.570
DigitsB1CompleteFacMiss
201100064.0860.000%
25500009.2420.010%
302500000.97337.802%
3510000000.08092.311%
4030000000.00599.466%


ECM Summary

B1B2factorcurvesGHz-days
110002000000150.031
5000050000002802.048
2500002500000058521.39


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-03-03T00:00:00ANONYMOUSv4_computersA05616701726CBD90.002


PRP results:
No PRP results for M285031


P-1 factor-bounds graph:
B1 = 145000000, B2 = 2972531111550 (P-1 stage 2)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 145000000 (P-1 stage 1)
B1 = 100000000 (P-1 stage 1)
B1 = 10000000, B2 = 500000000 (P-1 stage 2)
B1 = 10000000, B2 = 400000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 2000000 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 100000, B2 = 4000000 (P-1 stage 2)
B1 = 285031 (P-1 stage 1)
B1 = 262144 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-06-23T20:20:44+00:00