is 2 951019 - 1
has 286286 decimal digits
takes 0.023 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L33B882787694EEF3double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26731.244370.1493 %855000256500000.07765.5029 %31.321971.7919 %
Target2440.000054.5455 %1600032500000.006818.3789 %0.006862.8995 %
Difference+23+31.2443+15.6038 %+839000+22400000+0.0708-12.8760 %+31.3151+8.8924 %

Known prime factors (1 factor, 82.6 bits, 0.00868022% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
95101970826313641258962741362892582.5513723706552721815376
24 × 173 × 13242547 × 101586931
2014-01-28132425471015869311,029,9130.63490.9477

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-08ANONYMOUSv4_computers2000200000--0.00012.245%
2002-02-24ANONYMOUSv4_computers4096409600--0.00115.171%
2002-05-05ANONYMOUSv4_computers8192819200--0.00217.972%
2002-05-11Jossv4_computers50005000--0.0004.985%
2002-05-11Jossv4_computers60006000--0.0005.429%
2002-05-25ANONYMOUSv4_computers163841638400--0.00420.735%
2002-07-27ANONYMOUSv4_computers32768327680012--0.00723.453%
2003-01-09ANONYMOUSv4_computers65536655360012--0.01526.118%
2003-09-14ANONYMOUSv4_computers1310721310720012--0.02928.725%
2011-06-07JossManual testing200000200000--0.00715.627%
2011-07-14JossManual testing212745212745--0.00715.820%
2011-10-13JossManual testing709152709152--0.02519.570%
2013-10-14David Campeaui5-2500k8550002565000012--0.07831.880%
2016-03-17alpertronManual testing20000050000006---26.304%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-06-23ANONYMOUSv4_computers212550.005
2000-11-25ANONYMOUSv4_computers212560.010
2001-10-25ANONYMOUSv4_computers212570.020
2003-08-25ANONYMOUSv4_computers212580.040
2022-03-07LordJuliusManual testing258260
2010-05-28Architects Cubeda3_bu22602610.162


ECM factoring results:
Total ECM effort:14.048 GHz-days
Estimated T-Level:25.656
DigitsB1CompleteFacMiss
201100014.7690.000%
25500001.61619.866%
302500000.13187.697%
3510000000.00999.130%


ECM Summary

B1B2factorcurvesGHz-days
10.028
5000050000002807.800
25000025000000446.219


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-12-08ANONYMOUSv4_computers33B882787694EEF30.023


PRP results:
dateuseridcompidcofactorsres64
2017-09-28Oliver KruseGTX-0
7082631364125896274136289
ECB1E89384D6968B
2017-10-15Oliver KruseGTX-1
7082631364125896274136289
ECB1E89384D6968B
2017-12-24ATHec2-1xh
7082631364125896274136289
ECB1E89384D6968B
2020-04-24Oliver KruseAddPrpType5
7082631364125896274136289
09818AB32C32F2B6


CERT results:
No CERT results for M951019


P-1 factor-bounds graph:
B1 = 855000, B2 = 25650000 (P-1 stage 2)
B1 = 855000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 709152 (P-1 stage 1)
B1 = 200000, B2 = 5000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 212745 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 65536 (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 = 6000 (P-1 stage 1)
B1 = 5000 (P-1 stage 1)
B1 = 4096 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
102
103
104
105
106
107
108
102
103
104
105
106
107
108
109
TF factor-bounds graph:
261
260
258
257
256
255
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=25.66 ~= 69-bit
250
260
270
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290
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Last modified: 2024-03-03T02:29:32+00:00