is 2 827899 - 1
has 249223 decimal digits
takes 0.017 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L47B7CC6C33F05CBBdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26871.995370.5882%85000009013252794001,422.348819.0958%1,494.344176.2046%5.6164%
PrimeNet2400.000050.0000%80003200000.000722.7688%0.000761.3844%11.3844%
GPU722440.000054.5455%140005500000.001317.5181%0.001362.5082%7.9628%
Difference+24+71.9953+16.0428%+8486000+901324729400+1,422.3475+1.5777%+1,494.3429+13.6964%+13.6964%

Known prime factors:
No known factors for M827899

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-01-08T00:00:00ANONYMOUSv4_computers2000200000---0.000--0.165%
2002-02-10T00:00:00ANONYMOUSv4_computers4096409600---0.001--0.362%
2002-04-07T00:00:00ANONYMOUSv4_computers8192819200---0.002--0.667%
2002-05-18T00:00:00ANONYMOUSv4_computers163841638400---0.003--1.102%
2002-06-09T00:00:00ANONYMOUSv4_computers327683276800---0.006--1.677%
2002-11-24T00:00:00ANONYMOUSv4_computers655376553700---0.012--2.389%
2003-07-30T00:00:00ANONYMOUSv4_computers13107213107200---0.024--3.228%
2008-11-12T03:26:00markrManual testing100000040000000---0.090--5.437%
2014-03-27T14:49:00mikrBC58129770357709880---0.787--9.190%
2022-05-10T23:04:23lycorncolab_S8500000901325279400---1,422--19.096%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-08-01T00:00:00ANONYMOUSv4_computers21255--0.006--
2001-01-28T00:00:00ANONYMOUSv4_computers21256--0.012--
2001-10-20T00:00:00ANONYMOUSv4_computers21257--0.023--
2003-08-31T00:00:00ANONYMOUSv4_computers21258--0.046--
2008-10-11T05:16:00Sturle Sundemaugrim.ifi258259--0.046--
2008-10-11T05:51:00Sturle Sundemaugrim.ifi259260--0.093--
2010-06-02T01:20:00Architects Cubedm1_f2260261--0.186--
2015-02-20T15:04:00NRManual testing261262--0.371--
2015-09-29T18:56:14Gordon SpenceManual testing262263--1.186--
2015-09-29T18:56:14Gordon SpenceManual testing263264--2.371--
2016-02-21T12:34:48lycornManual testing264265--4.513--
2017-10-31T04:26:31Smok_bmvManual testing265266--9.026--
2017-10-31T04:26:31Smok_bmvManual testing266267--18.05--
2017-10-31T04:26:31Smok_bmvManual testing267268--36.10--


ECM factoring results:

Old Calculation Method

Total ECM effort:12.150 GHz-days
Estimated T-Level:25.344
DigitsB1CurvesCompleteFacMiss
2011000354 / 1003.5402.850%
2550000354 / 2801.26428.180%
3025000044 / 6400.06993.351%

New Calculation Method

Total ECM effort:12.150 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100015.9230.000%
25500001.72317.854%
302500000.13887.109%
3510000000.00999.099%


ECM Summary

B1B2factorcurvesGHz-days
5000050000003107.106
25000025000000445.043


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2015-04-11T15:53:00MadPooManual testing47B7CC6C33F05CBB0.017


PRP results:
No PRP results for M827899


P-1 factor-bounds graph:
B1 = 8500000, B2 = 901325279400 (P-1 stage 2)
B1 = 8129770, B2 = 357709880 (P-1 stage 2)
B1 = 8500000 (P-1 stage 1)
B1 = 8129770 (P-1 stage 1)
B1 = 1000000, B2 = 40000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65537, B2 = 6553700 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
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: 2022-05-10T23:04:23+00:00