is 2 19000027 - 1
has 5719579 decimal digits
takes 12.113 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 PRP tests remaining
ResidueStatus
L-L73821496FE34D23Adouble-checked
PRP99E6D235ED134543PRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual27250.333365.2778 %30000003002242320153.822510.7980 %204.155769.0271 %
Target2696.283563.7681 %130000180000001.02013.4799 %7.303765.0290 %
Difference+3+44.0498+1.5097 %+2870000+2984242320+152.8023+7.3181%+196.8521+3.9981 %

Known prime factors (1 factor, 75.8 bits, 0.00039914% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
19000027674808533051253464353192375.8371775809405563617
4021 × 441633774077
2021-04-284021441633774077634.3522,24241,541

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2019-07-22James Heinrichi3-8100380000798000012--0.7454.759%
2020-04-09timbitManual testing4300001741500012--1.2725.588%
2023-06-04DobriSlowFury30000003002242320--175.913.319%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-04-28LaurVZero81810000005700000065P+12375.8374.137


Trial Factoring results:
57585960616263646566676869707172
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-06-15bradypev4_computers212640.103
2002-04-07ANONYMOUSv4_computers212660.393
2012-11-08GrunwalderGIMPi5Laptop2662682.360
2014-03-31ramgeisManual testing2682709.439
2023-06-05DobriManual testing270272


ECM factoring results:
Total ECM effort:2.953 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000032.953


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2007-04-07hoannisv4_computers73821496FE34D23A12.11


PRP results:
dateuseridcompidcofactorsres64
2020-08-31KrieselManual testing99E6D235ED134543
2023-06-04DobriManual testing
67480853305125346435319
99E6D235ED134543


CERT results:
dateuseridcompid
2020-08-31Ben Deloi-0cb1e8f8c9eb548eb
2023-06-04LOBESE570


P-1 factor-bounds graph:
B1 = 3000000, B2 = 3002242320 (P-1 stage 2)
B1 = 1000000, B2 = 57000000 (P+1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 430000, B2 = 17415000 (P-1 stage 2)
B1 = 1000000 (P+1 stage 1)
B1 = 380000, B2 = 7980000 (P-1 stage 2)
B1 = 430000 (P-1 stage 1)
B1 = 380000 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
272
270
268
266
264
this exponent TF target: 69
TF double-checked to: 67
ECM T-Level=0.58 ~= -15-bit
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Last modified: 2024-03-13T02:15:48+00:00