is 2 870239 - 1
has 261969 decimal digits
takes 0.021 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L5520C4B37B000161double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26734.144570.1493 %2015000725400000.20607.0752 %34.350572.2613 %
Target2440.000054.5455 %1400027500000.005717.6142 %0.005762.5519 %
Difference+23+34.1445+15.6038 %+2001000+69790000+0.2002-10.5390 %+34.3448+9.7093 %

Known prime factors (2 factors, 161.2 bits, 0.01852726% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
87023969893597657585630346712272.5664015770245736265
5 × 37 × 41 × 529435760809
2014-06-05415294357608091,098.91,014.31,894.4
8702394909916662133225110007929992788.666282101621631139555341
3 × 3391 × 27730425796828817
2017-03-2433912773042579682881772,032,95253,124,56399,221,890

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-08ANONYMOUSv4_computers2000200000--0.00012.080%
2002-02-17ANONYMOUSv4_computers4096409600--0.00114.999%
2002-04-14ANONYMOUSv4_computers8192819200--0.00217.794%
2002-05-25ANONYMOUSv4_computers163841638400--0.00420.552%
2002-06-29ANONYMOUSv4_computers32768327680012--0.00723.267%
2002-12-16ANONYMOUSv4_computers65537655370012--0.01525.929%
2003-08-25ANONYMOUSv4_computers1310721310720012--0.02928.534%
2011-02-21JossManual testing200000200000--0.00715.484%
2011-07-12JossManual testing238696238696--0.00816.034%
2011-08-31JossManual testing397827397827--0.01417.624%
2012-01-22JossManual testing795654795654--0.02819.776%
2012-03-29JossManual testing11934821193482--0.04221.028%
2012-09-21JossManual testing17404781740478--0.06122.186%
2012-10-25JossManual testing19344881934488--0.06822.509%
2013-11-04David Campeaui5-2500k20150007254000012--0.20635.107%
2016-03-17alpertronManual testing3000001000000012---28.406%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-08-24ANONYMOUSv4_computers212550.006
2000-12-31ANONYMOUSv4_computers212560.011
2001-12-08ANONYMOUSv4_computers212570.022
2003-09-09ANONYMOUSv4_computers212580.044
2022-03-07LordJuliusManual testing258259
2004-06-04Sturle Sundev4_computers212600.088
2010-05-24Architects Cubeda3_bu22602610.176


ECM factoring results:
Total ECM effort:13.896 GHz-days
Estimated T-Level:25.649
DigitsB1CompleteFacMiss
201100014.5000.000%
25500001.59120.367%
302500000.13087.835%
3510000000.00999.138%


ECM Summary

B1B2factorcurvesGHz-days
10.224
5000050000002577.068
500005000000160.448
25000025000000446.156


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-01-28ANONYMOUSv4_computers5520C4B37B0001610.021


PRP results:
dateuseridcompidcofactorsres64
2017-09-28Oliver KruseGTX-1
6989359765758563034671
490991666213322511000792999
2CD6F0A2F06AE9D2
2017-10-05Oliver KruseManual testing
6989359765758563034671
490991666213322511000792999
2CD6F0A2F06AE9D2
2017-10-14Oliver KruseThreadripper-PC
6989359765758563034671
490991666213322511000792999
2CD6F0A2F06AE9D2
2017-12-19ATHec2-1xh
6989359765758563034671
490991666213322511000792999
2CD6F0A2F06AE9D2
2020-04-22Oliver KruseAddPrpType5
6989359765758563034671
490991666213322511000792999
3A01FB9C21BBBC63


CERT results:
No CERT results for M870239


P-1 factor-bounds graph:
B1 = 2015000, B2 = 72540000 (P-1 stage 2)
B1 = 2015000 (P-1 stage 1)
B1 = 1934488 (P-1 stage 1)
B1 = 1740478 (P-1 stage 1)
B1 = 1193482 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 300000, B2 = 10000000 (P-1 stage 2)
B1 = 795654 (P-1 stage 1)
B1 = 65537, B2 = 6553700 (P-1 stage 2)
B1 = 397827 (P-1 stage 1)
B1 = 300000 (P-1 stage 1)
B1 = 238696 (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 = 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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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