is 2 538771 - 1
has 162187 decimal digits
takes 0.008 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
Actual26755.151370.1493%2000000024600000003.234012.7572%58.385373.9574%3.8081%
PrimeNet2400.000050.0000%50001800000.000319.4313%0.000359.7156%9.7156%
GPU722440.000054.5455%90003000000.000514.6544%0.000561.2066%6.6611%
Difference+23+55.1513+15.6038%+19991000+2459700000+3.2335-1.8972%+58.3848+12.7508%+12.7508%

Known prime factors (3 factors, 141.0 bits, 0.02617163% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
5387719697879723.2099
32
-992.078e-121.903e-73.873e-7
538771490232215474731445.47945495416
23 × 967 × 5881
2014-01-2296758811.299e-52.611e-54.162e-5
53877158843313575863062356792272.3175460883527125909
19 × 287414922480311
2015-06-19192874149224803113,238.7331,126618,451

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
5387714754212707575859097672168.688
538771570655335017777299305604248412995.527
53877128846887980169605849721753582488916736117.796
538771279753629158239237008293749910794032997679343141.005
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-16T12:41:41alpertronManual testing15000005000000012-
skipped known factor: 9697879
skipped known factor: 49023221547473
--0.088--6.149%
2021-08-07T19:32:46ViliamF3200000002460000000-
skipped known factor: 9697879
skipped known factor: 49023221547473
--3.234--12.757%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2014-01-22T11:26:00TJAOIManual testing??45.479144.28588e-60.0168.93219e-6


ECM factoring results:

Old Calculation Method

Total ECM effort:16.149 GHz-days
Estimated T-Level:26.125
DigitsB1CurvesCompleteFacMiss
2011000425 / 1004.2501.396%
2550000425 / 2801.51821.859%
30250000144 / 6400.22579.838%

New Calculation Method

Total ECM effort:16.149 GHz-days
Estimated T-Level:26.125
DigitsB1CompleteFacMiss
201100021.0650.000%
25500002.5547.776%
302500000.23878.844%
3510000000.01898.227%
4030000000.00199.887%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002393.856
500005000000420.678
2500002500000014411.62


Lucas-Lehmer results:
No L-L results for M538771


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-27T10:27:25Oliver KruseGTX-0
9697879
49023221547473
5884331357586306235679
045633B0E44F7A6Fno
2017-09-28T09:43:08Oliver KruseManual testing
9697879
49023221547473
5884331357586306235679
045633B0E44F7A__no
2017-10-13T09:08:17Oliver KruseGTX-3045633B0E44F7A__no
2017-12-17T07:44:54ATHxps
9697879
49023221547473
5884331357586306235679
045633B0E44F7A__no
2020-04-19T04:36:18Oliver KruseAddPrpType5
9697879
49023221547473
5884331357586306235679
C1083BE828E130__no


P-1 factor-bounds graph:
B1 = 20000000, B2 = 2460000000 (P-1 stage 2)
B1 = 20000000 (P-1 stage 1)
B1 = 1500000, B2 = 50000000 (P-1 stage 2)
B1 = 1500000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-08-07T19:32:46+00:00