is 2 1931309 - 1
has 581382 decimal digits
takes 0.105 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
Actual26715.385468.6567%500000150000000.10155.1016%15.486970.2557%1.5990%
PrimeNet2580.019963.7931%80001400000.00122.4622%0.021164.6846%0.8915%
GPU722620.318166.1290%8000900000.00101.1507%0.319166.5188%0.3898%
Difference+5+15.0673+2.5277%+492000+14910000+0.1005+3.9508%+15.1678+3.7369%+3.7369%

Known prime factors (3 factors, 147.4 bits, 0.00763261% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
193130915450473823.8814
22
-445.791e-133.146e-76.404e-7
1931309741267758658171446.07519190812
22 × 59 × 233 × 349
2014-02-042333499.006e-61.883e-53.730e-5
19313092068725076413701288391532477.45353557589086306264
23 × 61458679 × 108930077
2020-11-066145867910893007727,5945.03799.839

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
193130911452937490918571814412269.956
1931309319627809375528285863585476936931101.334
19313091533479200673135818070906646270393300138123.528
193130923692978986061866782437455223721262382575947345147.409
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-16T12:40:42alpertronManual testing5000001500000012-
skipped known factor: 15450473
skipped known factor: 74126775865817
--0.101--5.102%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2014-02-04T11:43:00TJAOIManual testing??46.075144.15209e-60.2339.21562e-6


ECM factoring results:

Old Calculation Method

Total ECM effort:19.422 GHz-days
Estimated T-Level:24.446
DigitsB1CurvesCompleteFacMiss
2011000249 / 1002.4908.188%
2550000249 / 2800.88941.030%

New Calculation Method

Total ECM effort:19.422 GHz-days
Estimated T-Level:24.446
DigitsB1CompleteFacMiss
20110008.5460.019%
25500000.77446.131%
302500000.04895.325%
3510000000.00299.780%


ECM Summary

B1B2factorcurvesGHz-days
50000500000060.417
50000500000050.347
500006338636141.078
50000660000021016.47
500006750000141.110


Lucas-Lehmer results:
No L-L results for M1931309


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-05T01:10:34Oliver KruseGTX-3
15450473
74126775865817
E115C163CB9094__no
2017-11-10T16:33:17kkmrkkblmbrbkc4.xlarge
15450473
74126775865817
E115C163CB9094__no
2020-11-07T11:51:22mrhw
15450473
74126775865817
206872507641370128839153
6B434637896351D9no


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
107
108
100
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
267
2
220
230
240
250
260
270
280
290
2100
Last modified: 2022-03-03T12:28:40+00:00