is 2 924709 - 1
has 278366 decimal digits
takes 0.022 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LDE1AF88754A5137Edouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26732.133370.1493 %965000250900000.08015.5334 %32.213471.8010 %
Target2440.000054.5455 %1500030000000.006218.0394 %0.006262.7452 %
Difference+23+32.1333+15.6038 %+950000+22090000+0.0739-12.5060 %+32.2072+9.0558 %

Known prime factors (1 factor, 89.2 bits, 0.00964587% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
9247097091392144064474607504310812789.196383439122148939537060
22 × 32 × 5 × 633571 × 1779133 × 1889819
2014-01-1517791331889819191,924,5110.06280.1273

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-07-17ANONYMOUSv4_computers600001400000--0.00521.731%
2002-04-28ANONYMOUSv4_computers163841638400--0.00420.677%
2002-07-20ANONYMOUSv4_computers32768327680012--0.00723.394%
2002-12-25ANONYMOUSv4_computers65536655360012--0.01526.058%
2003-08-31ANONYMOUSv4_computers1310721310720012--0.02928.664%
2011-06-03JossManual testing200000200000--0.00715.582%
2011-07-13JossManual testing220627220627--0.00815.887%
2011-10-22JossManual testing735424735424--0.02619.635%
2013-10-09David Campeaui5-2500k9650002509000012--0.08031.787%
2016-03-17alpertronManual testing20000050000006---26.246%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-06-11ANONYMOUSv4_computers212550.005
2000-12-14ANONYMOUSv4_computers212560.010
2001-10-13ANONYMOUSv4_computers212570.021
2003-05-19ANONYMOUSv4_computers212580.042
2022-03-07LordJuliusManual testing258260
2010-05-18Architects Cubedm1_fw2602610.166


ECM factoring results:
Total ECM effort:14.016 GHz-days
Estimated T-Level:25.658
DigitsB1CompleteFacMiss
201100014.8080.000%
25500001.62019.795%
302500000.13287.678%
3510000000.00999.129%


ECM Summary

B1B2factorcurvesGHz-days
10.028
5000050000002817.789
25000025000000446.199


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-08-31ANONYMOUSv4_computersDE1AF88754A5137E0.022
2002-01-08ANONYMOUSv4_computersDE1AF88754A5137E0.022


PRP results:
dateuseridcompidcofactorsres64
2017-09-28Oliver KruseGTX-1
709139214406447460750431081
EB9FE9A8EBDE0EE9
2017-10-14Oliver KruseThreadripper-PC
709139214406447460750431081
EB9FE9A8EBDE0EE9
2017-12-21ATHec2-1xh
709139214406447460750431081
EB9FE9A8EBDE0EE9
2020-04-23Oliver KruseAddPrpType5
709139214406447460750431081
9883D119ACE9F3C3


CERT results:
No CERT results for M924709


P-1 factor-bounds graph:
B1 = 965000, B2 = 25090000 (P-1 stage 2)
B1 = 965000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 735424 (P-1 stage 1)
B1 = 200000, B2 = 5000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 220627 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 60000, B2 = 1400000 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 16384 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
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
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Last modified: 2024-03-13T02:15:48+00:00