is 2 436831 - 1
has 131500 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-L8459D2BF9961F8C5double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26768.021571.6418 %30000001000000000.14157.1792 %68.163073.6777 %
Target2440.000056.8182 %800012000000.001213.5992 %0.001362.6906 %
Difference+23+68.0215+14.8236 %+2992000+98800000+0.1402-6.4200 %+68.1618+10.9871 %

Known prime factors (1 factor, 111.2 bits, 0.02546357% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
436831305073466581189160483565147826928734111.2333491893507800375436765764653
72 × 53 × 79 × 83 × 89 × 593 × 2081 × 33563 × 55629647
2012-10-0333563556296473.738e+110.05230.0967

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-12-22ANONYMOUSv4_computers2000200000--0.00010.838%
2002-01-02ANONYMOUSv4_computers500001000000--0.00219.199%
2002-01-15ANONYMOUSv4_computers4096409600--0.00013.689%
2002-06-23ANONYMOUSv4_computers32768327680012--0.00421.844%
2002-08-31ANONYMOUSv4_computers65536655360012--0.00724.485%
2003-04-03ANONYMOUSv4_computers1310721310720030--0.01427.074%
2009-08-27Carsten Kossendeymother436831436831--0.00716.790%
2010-08-21Rob_Deetwopc5000001000000--0.00919.707%
2010-08-22Rob_Deetwopc100000020000006--0.01821.884%
2012-10-03markrtiny34111.2331.2530.000%
2016-03-17alpertronManual testing300000010000000012
skipped known factor: 3050734665811891604835651478269287
---34.744%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-03-25ANONYMOUSv4_computers212560.022
2002-02-10ANONYMOUSv4_computers212570.044
2004-01-18ANONYMOUSv4_computers212580.088


ECM factoring results:
Total ECM effort:12.661 GHz-days
Estimated T-Level:26.435
DigitsB1CompleteFacMiss
201100023.8990.000%
25500003.0284.840%
302500000.28775.049%
3510000000.02297.832%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002813.403
250000250000001449.258


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-01-22ANONYMOUSv4_computers8459D2BF9961F8C50.005


PRP results:
dateuseridcompidcofactorsres64
2017-09-24Oliver KruseDoppelherz
3050734665811891604835651478269287
474FE882912EB8AF
2017-09-24Oliver KruseManual testing
3050734665811891604835651478269287
474FE882912EB8AF
2017-11-09kkmrkkblmbrbkc4.large
3050734665811891604835651478269287
474FE882912EB8AF
2020-04-18Oliver KruseAddPrpType5
3050734665811891604835651478269287
C4FAA5BCB8323A52


CERT results:
No CERT results for M436831


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 1000000, B2 = 2000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 500000, B2 = 1000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 436831 (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)
102
103
104
105
106
107
102
103
104
105
106
107
108
TF factor-bounds graph:
258
257
256
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=26.44 ~= 71-bit
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2120
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Last modified: 2024-03-13T02:15:48+00:00