is 2 735719 - 1
has 221474 decimal digits
takes 0.015 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L5BB048112FFF4CFCdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26740.387670.1493 %1485000490050000.11806.3329 %40.505672.0397 %
Target2440.000054.5455 %1200022500000.003916.5939 %0.003962.0882 %
Difference+23+40.3876+15.6038 %+1473000+46755000+0.1141-10.2610 %+40.5017+9.9515 %

Known prime factors (1 factor, 69.4 bits, 0.00943625% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
7357197921096688156284835112169.424538323509937645
32 × 5 × 2921861 × 4094221
2014-01-2929218614094221162.270.08650.1722

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-02ANONYMOUSv4_computers2000200000--0.00011.771%
2002-02-03ANONYMOUSv4_computers4096409600--0.00114.674%
2002-03-24ANONYMOUSv4_computers8192819200--0.00217.459%
2002-05-11ANONYMOUSv4_computers163841638400--0.00320.208%
2002-07-14ANONYMOUSv4_computers32768327680012--0.00622.916%
2002-11-24ANONYMOUSv4_computers65537655370012--0.01225.573%
2003-06-23ANONYMOUSv4_computers1310721310720012--0.02428.174%
2011-07-10JossManual testing296758296758--0.00916.438%
2011-08-24JossManual testing494596494596--0.01418.021%
2011-10-15JossManual testing989193989193--0.02920.164%
2012-03-29JossManual testing14837901483790--0.04321.409%
2013-10-29David Campeaui5-2500k14850004900500012--0.10433.486%
2016-03-17alpertronManual testing5000001500000012---29.520%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-05-31ANONYMOUSv4_computers212550.007
2001-03-25ANONYMOUSv4_computers212560.013
2001-12-01ANONYMOUSv4_computers212570.026
2003-09-29ANONYMOUSv4_computers212580.052
2008-10-11Sturle Sundemorovan.ifi2582590.052
2008-10-11Sturle Sundemorovan.ifi2592600.104
2010-06-20Architects Cubedm1_tt2602610.209


ECM factoring results:
Total ECM effort:11.241 GHz-days
Estimated T-Level:25.652
DigitsB1CompleteFacMiss
201100014.6150.000%
25500001.60220.151%
302500000.13087.776%
3510000000.00999.135%


ECM Summary

B1B2factorcurvesGHz-days
10.113
5000050000002766.143
25000025000000444.985


Lucas-Lehmer results:
No L-L results for M735719


PRP results:
dateuseridcompidcofactorsres64
2017-09-27Oliver KruseGTX-3
792109668815628483511
ECA47C4133A5F9E7
2017-09-28Oliver KruseManual testing
792109668815628483511
ECA47C4133A5F9E7
2017-11-09kkmrkkblmbrbkc4.large
792109668815628483511
ECA47C4133A5F9E7
2020-04-20Oliver KruseAddPrpType5
792109668815628483511
4FCC6D8D305E8ED5


CERT results:
No CERT results for M735719


P-1 factor-bounds graph:
B1 = 1485000, B2 = 49005000 (P-1 stage 2)
B1 = 1485000 (P-1 stage 1)
B1 = 1483790 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 989193 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 494596 (P-1 stage 1)
B1 = 65537, B2 = 6553700 (P-1 stage 2)
B1 = 296758 (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)
102
103
104
105
106
107
102
103
104
105
106
107
108
TF factor-bounds graph:
261
260
259
258
257
256
255
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=25.65 ~= 69-bit
250
260
270
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Last modified: 2024-03-03T02:29:32+00:00