is 2 827867 - 1
has 249213 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-L737F73B1335530E5double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26735.892170.1493%1000000400000000.09055.9553%35.982671.9270%1.7777%
PrimeNet2400.000050.0000%80003200000.000722.7687%0.000761.3843%11.3843%
GPU722440.000054.5455%140005500000.001317.5180%0.001362.5082%7.9627%
Difference+23+35.8921+15.6038%+986000+39450000+0.0892-11.5627%+35.9814+9.4188%+9.4188%

Known prime factors (1 factor, 110.9 bits, 0.01340179% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
827867250590948690064923168088508025933734110.9491513473472732123174181894604
22 × 32 × 823 × 3299 × 211693 × 258697 × 282743267
2014-03-262586972827432672.068e+110.45320.8332

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-01-08T00:00:00ANONYMOUSv4_computers2000200000---0.000--0.205%
2002-02-10T00:00:00ANONYMOUSv4_computers4096409600---0.001--0.438%
2002-04-07T00:00:00ANONYMOUSv4_computers8192819200---0.002--0.790%
2002-05-18T00:00:00ANONYMOUSv4_computers163841638400---0.003--1.282%
2002-06-09T00:00:00ANONYMOUSv4_computers327683276800---0.006--1.921%
2002-11-24T00:00:00ANONYMOUSv4_computers655376553700---0.012--2.701%
2003-07-30T00:00:00ANONYMOUSv4_computers13107213107200---0.024--3.608%
2008-11-12T03:26:00markrManual testing100000040000000---0.090--5.955%
2014-03-26T18:28:00mikrNWY10000004000000034110.9490.0900.0330.1815.955%
2016-03-17T18:52:28alpertronManual testing3000001000000012---0.024--3.966%


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--
2008-10-11T03:31:00Sturle Sundemaugrim.ifi258259--0.046--
2008-10-11T04:07:00Sturle Sundemaugrim.ifi259260--0.093--
2010-06-01T22:20:00Architects Cubedm1_f2260261--0.186--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.485 GHz-days
Estimated T-Level:25.344
DigitsB1CurvesCompleteFacMiss
2011000325 / 1003.2503.815%
2550000325 / 2801.16131.261%
3025000044 / 6400.06993.351%

New Calculation Method

Total ECM effort:11.485 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100012.7310.000%
25500001.34925.941%
302500000.10889.793%
3510000000.00799.295%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002816.442
25000025000000445.043


Lucas-Lehmer results:
No L-L results for M827867


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-28T02:47:43Oliver KruseGTX-3
2505909486900649231680885080259337
B03EC17DCDFC4E__no
2017-10-14T02:40:34Oliver KruseThreadripperB03EC17DCDFC4E__no
2017-12-18T11:16:13ATHec2-1xf
2505909486900649231680885080259337
B03EC17DCDFC4E__no
2020-04-21T15:16:08Oliver KruseAddPrpType5
2505909486900649231680885080259337
CAE29223FA0D5E__no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 40000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 300000, B2 = 10000000 (P-1 stage 2)
B1 = 65537, B2 = 6553700 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
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: 2020-04-21T15:16:08+00:00