is 2 857513 - 1
has 258138 decimal digits
takes 0.021 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26734.651370.1493 %300000100000000.02913.9842 %34.680471.3386 %
Target2440.000054.5455 %1400027500000.005717.5858 %0.005762.5390 %
Difference+23+34.6513+15.6038 %+286000+7250000+0.0234-13.6016 %+34.6747+8.7996 %

Known prime factors (3 factors, 203.0 bits, 0.02367232% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
85751315695253688129691650.479915161268
22 × 3 × 7 × 10894777
-7108947770.00030.02090.0390
857513257463498808586985942972374.44715012221319594396
22 × 32 × 739 × 2549 × 4861 × 45541
2014-09-234861455417,857.20.00020.0003
8575133166470379681952405138712478.067184631042309676495
3 × 5 × 13 × 9067937 × 104414693
2016-01-159067937104414693110,5590.50150.6489

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2014-09-23alpertronManual testing300000100000001222374.4470.02928.376%


Trial Factoring results:
5758596061626364656667
No TF results for M857513


ECM factoring results:
Total ECM effort:13.997 GHz-days
Estimated T-Level:25.658
DigitsB1CompleteFacMiss
201100014.8080.000%
25500001.62019.795%
302500000.13287.678%
3510000000.00999.129%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002226.202
500005000000591.648
25000025000000446.146


Lucas-Lehmer results:
No L-L results for M857513


PRP results:
dateuseridcompidcofactorsres64
2017-09-28Oliver KruseGTX-0DB762983F01BAD__
2017-09-30alpertronManual testing
1569525368812969
25746349880858698594297
316647037968195240513871
DB762983F01BAD21
2017-10-14Oliver KruseThreadripper-PC
1569525368812969
25746349880858698594297
316647037968195240513871
DB762983F01BAD21
2020-04-22Oliver KruseAddPrpType5
1569525368812969
25746349880858698594297
316647037968195240513871
3A292D011ABAD95B


CERT results:
No CERT results for M857513


P-1 factor-bounds graph:
B1 = 300000, B2 = 10000000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
100
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102
103
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107
100
101
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103
104
105
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109
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=25.66 ~= 69-bit
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JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00