is 2 736399 - 1
has 221679 decimal digits
takes 0.015 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
Actual26740.350370.1493 %500000150000000.03744.5375 %40.387771.5037 %
Target2440.000054.5455 %1200022500000.003916.5957 %0.003962.0889 %
Difference+23+40.3503+15.6038 %+488000+12750000+0.0335-12.0582 %+40.3838+9.4148 %

Known prime factors (4 factors, 224.9 bits, 0.03054124% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
7363997363991722.8125
5
-157.596e-133.527e-85.894e-8
73639935347153825.07524
23 × 3
2008-07-16886.102e-122.317e-74.715e-7
73639921496438174951139301617772580.8301459564595752515912
23 × 32 × 11 × 211 × 773 × 24571 × 459847
2014-10-0124571459847579,5330.00140.0014
736399902452959770598051645473065992996.18861274727408008297923101
32 × 349 × 2437 × 220511 × 36301758523
2016-12-02220511363017585234.057e+1057.283106.98

11 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2014-10-01alpertronManual testing500000150000001222580.8300.03729.522%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-07-16J FeitsmaManual testing??
25.075
8


ECM factoring results:
Total ECM effort:11.352 GHz-days
Estimated T-Level:25.658
DigitsB1CompleteFacMiss
201100014.8080.000%
25500001.62019.795%
302500000.13287.678%
3510000000.00999.129%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002605.891
500005000000210.476
25000025000000444.985


Lucas-Lehmer results:
No L-L results for M736399


PRP results:
dateuseridcompidcofactorsres64
2017-09-27Oliver KruseGTX-3
7363991
35347153
2149643817495113930161777
90245295977059805164547306599
E390014442067A22
2017-09-28Oliver KruseManual testing
7363991
35347153
2149643817495113930161777
90245295977059805164547306599
E390014442067A22
2017-10-13Oliver KruseThreadripper-PC
7363991
35347153
2149643817495113930161777
90245295977059805164547306599
E390014442067A22
2017-12-16ATHec2-1xh
7363991
35347153
2149643817495113930161777
90245295977059805164547306599
E390014442067A22
2020-04-20Oliver KruseAddPrpType5
7363991
35347153
2149643817495113930161777
90245295977059805164547306599
EE86EF787FA74C76


CERT results:
No CERT results for M736399


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: 44
TF double-checked to: 67
ECM T-Level=25.66 ~= 69-bit
250
260
270
280
290
2100
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Last modified: 2024-03-13T02:15:48+00:00