is 2 822037 - 1
has 247458 decimal digits
takes 0.016 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LFE0A3423657381D0double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26736.146770.1493%1665000566100000.13496.6371%36.281672.1305%1.9812%
PrimeNet2400.000050.0000%70003000000.000722.3766%0.000761.1883%11.1883%
GPU722440.000054.5455%140005500000.001317.5044%0.001362.5020%7.9566%
Difference+23+36.1467+15.6038%+1651000+56060000+0.1337-10.8673%+36.2803+9.6285%+9.6285%

Known prime factors (1 factor, 75.5 bits, 0.00918639% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
822037540043122984098068295112375.51532847859827726615
32 × 5 × 72 × 19 × 784052030737
2015-02-244978405203073716,7131,237.12,310.5

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--0.789%
2002-05-18T00:00:00ANONYMOUSv4_computers163841638400---0.003--1.280%
2002-06-09T00:00:00ANONYMOUSv4_computers327683276800---0.006--1.919%
2002-11-24T00:00:00ANONYMOUSv4_computers655376553700---0.012--2.698%
2003-07-21T00:00:00ANONYMOUSv4_computers13107213107200---0.024--3.605%
2008-10-23T07:51:00markrManual testing100000020000000---0.059--5.252%
2008-10-29T07:51:00markrManual testing100000040000000---0.090--5.951%
2012-09-21T00:58:00Jocelyn LaroucheManual testing16440741644074---0.048--2.835%
2013-11-02T02:32:00David Campeaui5-2500k166500056610000---0.135--6.637%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-07-25T00:00:00ANONYMOUSv4_computers21255--0.006--
2001-01-08T00:00:00ANONYMOUSv4_computers21256--0.012--
2001-10-13T00:00:00ANONYMOUSv4_computers21257--0.023--
2003-08-31T00:00:00ANONYMOUSv4_computers21258--0.047--
2008-10-13T04:21:00Sturle Sundeaeronca.ifi258259--0.047--
2008-10-13T04:57:00Sturle Sundeaeronca.ifi259260--0.093--
2010-06-01T08:30:00Architects Cubedm1_tt260261--0.187--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.476 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:11.476 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100012.7310.000%
25500001.34925.941%
302500000.10889.793%
3510000000.00799.295%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002806.414
50000500000010.023
25000025000000445.040


Lucas-Lehmer results:
No L-L results for M822037


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-28T02:26:02Oliver KruseGTX-1
54004312298409806829511
E0451B6384B23F__no
2017-10-14T01:52:39Oliver KruseThreadripperE0451B6384B23F__no
2017-12-18T00:05:22ATHec2-1xf
54004312298409806829511
E0451B6384B23F__no
2020-04-21T12:44:37Oliver KruseAddPrpType5
54004312298409806829511
02C38385D0AF3B__no


P-1 factor-bounds graph:
B1 = 1665000, B2 = 56610000 (P-1 stage 2)
B1 = 1000000, B2 = 40000000 (P-1 stage 2)
B1 = 1000000, B2 = 20000000 (P-1 stage 2)
B1 = 1665000 (P-1 stage 1)
B1 = 1644074 (P-1 stage 1)
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: 2020-04-21T12:44:37+00:00