is 2 804059 - 1
has 242046 decimal digits
takes 0.016 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L1CDE820CC43C7C78double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26736.954970.1493 %100000008300000001.583411.1523 %38.538373.4783 %
Target2440.000054.5455 %1300025000000.004317.1282 %0.004362.3310 %
Difference+23+36.9549+15.6038 %+9987000+827500000+1.5791-5.9759 %+38.5340+11.1473 %

Known prime factors (1 factor, 79.9 bits, 0.00993260% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
80405911001283847692504227766792579.864684109241218150921
31 × 22068040039295191
2014-01-253122068040039295191152,26934,819,07665,032,338

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-02ANONYMOUSv4_computers2000200000--0.00011.934%
2002-02-10ANONYMOUSv4_computers4096409600--0.00114.846%
2002-03-31ANONYMOUSv4_computers8192819200--0.00217.635%
2002-05-11ANONYMOUSv4_computers163841638400--0.00320.390%
2002-06-02ANONYMOUSv4_computers32768327680012--0.00623.101%
2002-11-16ANONYMOUSv4_computers65537655370012--0.01225.761%
2003-07-06ANONYMOUSv4_computers1310721310720012--0.02428.364%
2012-08-01JossManual testing16081181608118--0.04721.807%
2013-10-25David Campeaui5-2500k16500005610000012--0.13434.110%
2016-03-17alpertronManual testing3000001000000012---28.243%
2021-09-13gLaussManual testing10000000830000000--1.58342.566%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-09-13gLaussManual testing500000036500000027--0.777


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-07-17ANONYMOUSv4_computers212550.006
2000-12-21ANONYMOUSv4_computers212560.012
2001-10-06ANONYMOUSv4_computers212570.024
2003-08-25ANONYMOUSv4_computers212580.048
2008-10-12Sturle Sundescarpia.ifi2582590.048
2008-10-12Sturle Sundescarpia.ifi2592600.096
2010-05-22Architects Cubedm1_tt2602610.191


ECM factoring results:
Total ECM effort:11.342 GHz-days
Estimated T-Level:25.653
DigitsB1CompleteFacMiss
201100014.6540.000%
25500001.60520.079%
302500000.13187.756%
3510000000.00999.134%


ECM Summary

B1B2factorcurvesGHz-days
10.091
5000050000002776.222
25000025000000445.028


Lucas-Lehmer results:
No L-L results for M804059


PRP results:
dateuseridcompidcofactorsres64
2017-09-28Oliver KruseGTX-1
1100128384769250422776679
89694C7B47D5E1D7
2017-10-13Oliver KruseThreadripper-PC
1100128384769250422776679
89694C7B47D5E1D7
2017-12-18ATHec2-1xh
1100128384769250422776679
89694C7B47D5E1D7
2020-04-21Oliver KruseAddPrpType5
1100128384769250422776679
8F829ABAB5EC310B


CERT results:
No CERT results for M804059


P-1 factor-bounds graph:
B1 = 10000000, B2 = 830000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 1650000, B2 = 56100000 (P-1 stage 2)
B1 = 1650000 (P-1 stage 1)
B1 = 1608118 (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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1010
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1017
TF factor-bounds graph:
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260
259
258
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255
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=25.65 ~= 69-bit
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Last modified: 2024-03-03T02:29:32+00:00