is 2 1931053 - 1
has 581305 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
Actual26715.387468.6567%500000150000000.10155.1015%15.488970.2557%1.5990%
PrimeNet2580.019963.7931%80001400000.00122.4621%0.021164.6846%0.8915%
GPU722620.318166.1290%8000900000.00101.1507%0.319166.5188%0.3898%
Difference+5+15.0693+2.5277%+492000+14910000+0.1005+3.9508%+15.1698+3.7369%+3.7369%

Known prime factors (3 factors, 169.7 bits, 0.00878797% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
193105312947799463785431650.202335252307
3 × 13 × 8596213
-1385962130.00010.03680.0688
193105367555913776402071652.5851749198851
61 × 28675391
2014-08-1761286753910.00050.12290.2295
19310531390166782908047983912166.91435995044747815
5 × 1859999 × 3870437
2020-11-061859999387043713.8380.15490.2978

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
1931053874700424169633465375487887840131102.787
193105317999600726309139960747598768332431336117.115
193105393913987320954344495898434197050693736119.499
193105312159794746762043333730079227965273152440270094527
91
52169.700
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-16T12:40:41alpertronManual testing5000001500000012-
skipped known factor: 1294779946378543
--0.101--5.101%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2014-08-17T11:36:00TJAOIManual testing??52.585160.0000.2320.000


ECM factoring results:

Old Calculation Method

Total ECM effort:19.346 GHz-days
Estimated T-Level:24.482
DigitsB1CurvesCompleteFacMiss
2011000251 / 1002.5108.025%
2550000251 / 2800.89640.737%

New Calculation Method

Total ECM effort:19.346 GHz-days
Estimated T-Level:24.482
DigitsB1CompleteFacMiss
20110008.5710.019%
25500000.77646.005%
302500000.04895.311%
3510000000.00299.779%


ECM Summary

B1B2factorcurvesGHz-days
500005000000342.363
50000500000040.278
50000660000021316.71


Lucas-Lehmer results:
No L-L results for M1931053


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-05T01:08:12Oliver KruseGTX-3
1294779946378543
6755591377640207
3A1155CED6DAF4__no
2017-11-10T23:44:55kkmrkkblmbrbkold
1294779946378543
6755591377640207
3A1155CED6DAF4__no
2020-11-06T11:41:35ATHec2-PRPCF
1294779946378543
6755591377640207
139016678290804798391
43662121F1433CA0no


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
100
101
102
103
104
105
106
107
108
TF factor-bounds graph:
267
2
250
260
270
280
290
2100
Last modified: 2022-02-17T11:38:42+00:00