is 2 1923293 - 1
has 578969 decimal digits
takes 0.104 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
Actual26715.449568.6567%500000150000000.10155.0990%15.551070.2549%1.5982%
PrimeNet2570.010063.1579%90001700000.00143.0938%0.011464.2977%1.1398%
GPU722610.159765.5738%100001700000.00151.7621%0.161266.1804%0.6066%
Difference+6+15.2898+3.0829%+490000+14830000+0.1000+3.3369%+15.3898+4.0745%+4.0745%

Known prime factors (2 factors, 111.8 bits, 0.00581488% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
192329340256330385431341.8721046547
33 × 83 × 467
-834672.323e-78.175e-61.329e-5
192329311521612311936279323512269.965299528265114475
52 × 4363 × 2746076233
2019-02-1643632746076233123.3711.76921.981

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
1923293463817831802144832808995457960459334111.837
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-17T19:19:02alpertronManual testing5000001500000012-
skipped known factor: 4025633038543
--0.101--5.099%


Trial Factoring results:
No TF results for M1923293


ECM factoring results:

Old Calculation Method

Total ECM effort:19.882 GHz-days
Estimated T-Level:24.607
DigitsB1CurvesCompleteFacMiss
2011000258 / 1002.5807.480%
2550000258 / 2800.92139.729%

New Calculation Method

Total ECM effort:19.882 GHz-days
Estimated T-Level:24.607
DigitsB1CompleteFacMiss
201100010.6250.002%
25500000.97837.607%
302500000.06293.982%
3510000000.00399.709%


ECM Summary

B1B2factorcurvesGHz-days
500005000000382.640
50000500000010.069
50000660000021216.62
50000675000070.555


Lucas-Lehmer results:
No L-L results for M1923293


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-04T23:15:01Oliver KruseGTX-2
4025633038543
169A5BB911C7BC__no
2017-11-10T02:29:52ATHec2-1xf
4025633038543
169A5BB911C7BC__no
2019-02-17T02:08:38artorollofourth
4025633038543
1152161231193627932351
B7DB308F17A81D9Bno
2019-02-17T02:52:08ATHec2-PRPCFDC
4025633038543
1152161231193627932351
B7DB308F17A81D9Bno
2019-02-17T14:06:52alexManual testing
4025633038543
1152161231193627932351
B7DB308F17A81D9Bno


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
TF factor-bounds graph:
267
240
250
260
270
280
290
2100
Last modified: 2022-03-03T12:27:41+00:00