is 2 435751 - 1
has 131175 decimal digits
takes 0.005 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LC6BF6DA3D92F345Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26768.190171.6418 %30000001000000000.14157.1774 %68.331673.6772 %
Target2440.000056.8182 %800012000000.001213.5948 %0.001362.6887 %
Difference+23+68.1901+14.8236 %+2992000+98800000+0.1402-6.4175 %+68.3304+10.9885 %

Known prime factors (1 factor, 74.1 bits, 0.01700441% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
435751202017704519305226188092374.09723180406300766404
22 × 33 × 214633391673763
2010-02-27272146333916737638,779.9199,704372,992

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-12-22ANONYMOUSv4_computers2000200000--0.00010.833%
2002-01-02ANONYMOUSv4_computers500001000000--0.00219.195%
2002-01-15ANONYMOUSv4_computers4096409600--0.00013.685%
2002-06-23ANONYMOUSv4_computers32768327680012--0.00421.839%
2002-08-31ANONYMOUSv4_computers65536655360012--0.00724.479%
2003-04-03ANONYMOUSv4_computers1310721310720030--0.01427.069%
2009-08-26Carsten Kossendeymother435751435751--0.00716.778%
2016-03-17alpertronManual testing300000010000000012---34.739%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-03-25ANONYMOUSv4_computers212560.022
2002-02-03ANONYMOUSv4_computers212570.044
2004-01-07ANONYMOUSv4_computers212580.088


ECM factoring results:
Total ECM effort:12.744 GHz-days
Estimated T-Level:26.432
DigitsB1CompleteFacMiss
201100023.7830.000%
25500003.0174.892%
302500000.28675.100%
3510000000.02297.835%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
10.034
5000050000002783.454
250000250000001449.257


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-02-10ANONYMOUSv4_computersC6BF6DA3D92F345D0.005


PRP results:
dateuseridcompidcofactorsres64
2017-09-24Oliver KruseDoppelherz
20201770451930522618809
D7C85CC4D0EC947F
2017-09-24Oliver KruseManual testing
20201770451930522618809
D7C85CC4D0EC947F
2017-11-09kkmrkkblmbrbkc4.large
20201770451930522618809
D7C85CC4D0EC947F
2020-04-18Oliver KruseAddPrpType5
20201770451930522618809
B70ECABB0932876F


CERT results:
No CERT results for M435751


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 435751 (P-1 stage 1)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 50000, B2 = 1000000 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 2000, B2 = 200000 (P-1 stage 2)
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=26.43 ~= 71-bit
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Last modified: 2024-02-29T14:28:04+00:00