is 2 147836309 - 1
has 44503164 decimal digits
takes 847.749 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 PRP tests remaining
ResidueStatus
L-L-unknown--unknown-
PRPF729CE7F0524F818PRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual27312.938961.6438 %400000012000000085.80928.2556 %98.748164.8104 %
Target277207.040963.6364 %90000017000000084.08834.1400 %291.129265.1418 %
Difference-4-194.1020-1.9925 %+3100000-50000000+1.7209+4.1156%-192.3811-0.3314 %

Known prime factors (2 factors, 161.7 bits, 0.00010937% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
147836309506609993179789521920092375.423171341531930356
22 × 67 × 7919 × 80734193
2020-07-1779198073419351.75936.63668.310
147836309929854130524819308598175772686.265314487738774924132
22 × 3 × 11 × 113 × 239 × 17117 × 5153779
2020-07-17171175153779106,0062.46934.3606

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2020-07-17Roland ClarksonManual testing4000000120000000249161.68987.295.999%


Trial Factoring results:
575859606162636465666768697071727374757677
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2011-01-05Richard2642650.025
2013-01-02Charles A. Morrischandra2652660.051
2015-03-09vwflat4j-laptop2662670.101
2016-03-17DerekManual testing2672680.202
2016-06-04DerekManual testing2682690.404
2016-06-08bastrogueManual testing2692700.809
2016-06-28bastrogueManual testing2702711.618
2016-09-10bastrogueManual testing2712723.235
2016-10-03John BurroughsManual testing2722736.470


ECM factoring results:
No ECM results for M147836309


Lucas-Lehmer results:
No L-L results for M147836309


PRP results:
dateuseridcompidcofactorsres64
2019-11-17Roland ClarksonManual testingF729CE7F0524F818


CERT results:
No CERT results for M147836309


P-1 factor-bounds graph:
B1 = 4000000, B2 = 120000000 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
TF factor-bounds graph:
273
272
271
270
269
268
267
266
265
this exponent TF target: 77
TF double-checked to: 67
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JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00