is 2 2073853 - 1
has 624292 decimal digits
takes 0.136 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
Actual26714.327968.6567%500000150000000.12305.1454%14.450970.2695%1.6127%
PrimeNet2580.018563.7931%90001600000.00162.6714%0.020264.7604%0.9672%
GPU722620.296266.1290%90001300000.00151.3669%0.297766.5920%0.4630%
Difference+5+14.0316+2.5277%+491000+14870000+0.1215+3.7785%+14.1531+3.6775%+3.6775%

Known prime factors (3 factors, 155.3 bits, 0.00748907% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
207385386562624231033.0112087
2087
-120878.011e-101.093e-52.022e-5
20738536830664557841611549.279164685360
24 × 3 × 5 × 7 × 61 × 1607
2008-09-306116074.274e-51.385e-51.556e-5
207385395915206322628639340332273.0222312488067443272
23 × 32 × 19 × 71 × 23808665549
2019-08-0971238086655491,511.8123.67230.98

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
207385359128024936162238628821032582.290
20738538302671962848623053053180874195932106.033
2073853655164600386044950608315480839025131337122.301
20738535671276711201532199539652288116029756024831139947155.312
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-16T13:44:13alpertronManual testing5000001500000012-
skipped known factor: 8656262423
skipped known factor: 683066455784161
--0.123--5.145%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-30T14:36:00markrManual testing??49.279156.57496e-60.2951.42388e-5


ECM factoring results:

Old Calculation Method

Total ECM effort:2.545 GHz-days
Estimated T-Level:1.400
DigitsB1CurvesCompleteFacMiss
201100028 / 1000.28075.472%
255000028 / 2800.10090.468%

New Calculation Method

Total ECM effort:2.545 GHz-days
Estimated T-Level:1.400
DigitsB1CompleteFacMiss
20110000.93839.148%
25500000.08591.849%
302500000.00599.476%


ECM Summary

B1B2factorcurvesGHz-days
500005000000100.850
50000500000030.255
50000636461370.661
50000675000070.679
50000715000010.100


Lucas-Lehmer results:
No L-L results for M2073853


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-06T14:44:54Oliver KruseGTX-1
8656262423
683066455784161
3E48DDF51D7E66__no
2017-11-16T09:10:46kkmrkkblmbrbkc4.xlarge
8656262423
683066455784161
3E48DDF51D7E66__no
2019-08-10T10:55:16treborLaptop
8656262423
683066455784161
9591520632262863934033
2ED0B5DF7A9C80B4no
2019-08-12T02:18:46arnaudstm-11-010
8656262423
683066455784161
9591520632262863934033
2ED0B5DF7A9C80B4no


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
2
230
240
250
260
270
280
290
2100
Last modified: 2022-05-18T05:43:22+00:00