is 2 2086519 - 1
has 628105 decimal digits
takes 0.137 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
Actual26714.240968.6567 %500000150000000.12305.1492 %14.363970.2706 %
Target2620.294466.1290 %90007000000.00441.3998 %0.298966.6032 %
Difference+5+13.9465+2.5277 %+491000+14300000+0.1185+3.7494%+14.0650+3.6675 %

Known prime factors (2 factors, 119.6 bits, 0.00573147% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2086519884877435248606091756.29621204634016
25 × 662644813
-326626448130.00753.44196.4286
2086519112916875122431018232063.2922705867406969
3 × 19 × 47471358017
2017-01-2019474713580171.6344246.58460.54

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-03-16alpertronManual testing5000001500000012---8.223%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2017-01-20TJAOIManual testing263264*
63.292
20
0.275


ECM factoring results:
Total ECM effort:9.540 GHz-days
Estimated T-Level:21.857
DigitsB1CompleteFacMiss
20110004.0051.823%
25500000.37168.977%
302500000.02497.674%
3510000000.00199.890%


ECM Summary

B1B2factorcurvesGHz-days
500005000070.355
500005000000342.891
50000629566070.658
50000663880670.675
500007050000504.961


Lucas-Lehmer results:
No L-L results for M2086519


PRP results:
dateuseridcompidcofactorsres64
2017-10-06Oliver KruseGTX-3
88487743524860609
11291687512243101823
01F7624C8766A35C
2017-11-16kkmrkkblmbrbkc4.xlarge
88487743524860609
11291687512243101823
01F7624C8766A35C


CERT results:
No CERT results for M2086519


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=21.86 ~= 56-bit
250
260
270
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Last modified: 2024-03-13T02:15:48+00:00