is 2 1728323 - 1
has 520278 decimal digits
takes 0.094 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
Actual26717.192368.6567%500000150000000.10155.0338%17.293870.2345%1.5777%
PrimeNet2570.011163.1579%80001400000.00122.7959%0.012364.1879%1.0301%
GPU722610.177765.5738%70001100000.00101.3451%0.178766.0368%0.4631%
Difference+6+17.0146+3.0829%+493000+14890000+0.1005+3.6887%+17.1151+4.1976%+4.1976%

Known prime factors (2 factors, 120.4 bits, 0.00696542% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
172832327705881851511341.333801525
3 × 52 × 10687
-25106872.526e-74.766e-58.552e-5
17283236265071196329766068444472479.052181247116318239301
11 × 19 × 59 × 263 × 55887805817
2020-06-1126355887805817103,054239.52447.36

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
1728323173579322356810909836919445869220649737120.385
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-16T12:32:42alpertronManual testing5000001500000012-
skipped known factor: 2770588185151
--0.101--5.034%


Trial Factoring results:
No TF results for M1728323


ECM factoring results:

Old Calculation Method

Total ECM effort:21.278 GHz-days
DigitsB1CurvesCompleteFacMiss
2011000310 / 1003.1004.435%
2550000310 / 2801.10732.985%

New Calculation Method

Total ECM effort:21.278 GHz-days
DigitsB1CompleteFacMiss
201100010.0000.005%
25500000.90440.503%
302500000.05694.587%
3510000000.00399.745%


ECM Summary

B1B2factorcurvesGHz-days
50000500000025717.64
500005000000533.638


Lucas-Lehmer results:
No L-L results for M1728323


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-30T15:16:27alpertronManual testing
2770588185151
16A57C7EC521BD__no
2017-10-19T06:47:39Oliver KruseThreadripper
2770588185151
16A57C7EC521BD__no
2020-06-12T20:37:10Luigi Morelli9800X
2770588185151
626507119632976606844447
3242107F192DCA17no
2020-06-13T19:48:07marssystemssystem03
2770588185151
626507119632976606844447
3242107F192DCA17no


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:
267
240
250
260
270
280
290
2100
Last modified: 2020-06-13T19:48:07+00:00