is 2 9157219 - 1
has 2756598 decimal digits
takes 2.531 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2673.244964.1791%----3.244964.1791%0.0000%
PrimeNet2640.388762.5000%4000010000000.03703.4065%0.425763.7774%1.2774%
GPU722686.509164.7059%6000013000000.05112.4065%6.560265.5552%0.8494%
Difference-1-3.2642-0.5268%-60000-1300000-0.0511-2.4065%-3.3153-1.3761%-1.3761%

Known prime factors (2 factors, 135.3 bits, 0.00147771% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
91572191981737729330989291857.46010820630856
23 × 3 × 7 × 64408517
1999-01-178644085170.00401.40632.6267
91572192737778126175278023380492477.85714948742222804096
27 × 32 × 7 × 509513 × 3638303
2021-11-0950951336383034,801.10.27250.4156

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
91572195425558207178646164157946844018521784952141135.317
P-1 results:
No P-1 results for M9157219


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-11-09T01:46:33riccardo ubertiColab_noGPU1520000004000000027P-12477.8572.031
2021-11-25T10:27:48riccardo ubertiColab_noGPU1530000006000000027--3.047
2021-11-27T03:53:58riccardo ubertiColab_noGPU1530000006000000065--3.047


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-17T00:00:00delongv4_computers??57.460180.0025.5250.004


ECM factoring results:

Old Calculation Method

Total ECM effort:8.134 GHz-days
Estimated T-Level:0.500
DigitsB1CurvesCompleteFacMiss
201100010 / 1000.10090.438%
255000010 / 2800.03696.485%

New Calculation Method

Total ECM effort:8.134 GHz-days
Estimated T-Level:0.500
DigitsB1CompleteFacMiss
20110000.43564.741%
25500000.04096.125%
302500000.00399.748%


ECM Summary

B1B2factorcurvesGHz-days
5000014400000108.134


Lucas-Lehmer results:
No L-L results for M9157219


PRP results:
dateuseridcompidcofactorsres64PRP
2020-07-31T22:39:36riccardo ubertiColab_noGPU12
198173772933098929
37709D5DE2EF8B__no
2020-12-19T11:37:43Oliver KruseIOS-5
198173772933098929
37709D5DE2EF8BACno
2021-11-09T17:00:46riccardo ubertiNomad2C
198173772933098929
273777812617527802338049
37709D5DE2EF8BACno


P-1 factor-bounds graph:
B1 = 2000000, B2 = 40000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
TF factor-bounds graph:
267
2
250
260
270
280
290
2100
Last modified: 2021-11-27T03:53:58+00:00