is 2 538739 - 1
has 162177 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
Actualunknown1000000011100000001.478851.2652%1.478851.2652%51.2652%
PrimeNet2400.000050.0000%50001800000.000319.4311%0.000359.7156%9.7156%
GPU722440.000054.5455%90003000000.000514.6543%0.000561.2065%6.6611%
Difference-440.0000-54.5455%+9991000+1109700000+1.4782+36.6109%+1.4782-9.9413%-9.9413%

Known prime factors (2 factors, 89.7 bits, 0.01665071% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
538739630324631929.232585
32 × 5 × 13
-9131.496e-101.949e-73.873e-7
53873915995131081713210471960.4721484497231657
11 × 5171 × 26098297
2014-10-285171260982970.31700.03020.0562

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
53873910082125096877510237328086572889.704
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2014-10-28T11:45:00alpertronManual testing150000050000000121960.4720.0880.0160.17532.909%
2021-08-07T12:30:41ViliamF3100000001110000000-
skipped known factor: 630324631
skipped known factor: 1599513108171321047
--1.479--42.580%


Trial Factoring results:
No TF results for M538739


ECM factoring results:

Old Calculation Method

Total ECM effort:16.148 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:16.148 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
5000050000002814.533
2500002500000014411.62


Lucas-Lehmer results:
No L-L results for M538739


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-27T10:28:02Oliver KruseGTX-2
630324631
1599513108171321047
E290D6C96F783A__no
2017-09-28T09:42:56Oliver KruseManual testing
630324631
1599513108171321047
E290D6C96F783A__no
2017-11-07T07:19:50kkmrkkblmbrbkc4.xlarge
630324631
1599513108171321047
E290D6C96F783A__no
2020-04-19T04:31:45Oliver KruseAddPrpType5
630324631
1599513108171321047
E85AD9D3C60E96__no


P-1 factor-bounds graph:
B1 = 10000000, B2 = 1110000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 1500000, B2 = 50000000 (P-1 stage 2)
B1 = 1500000 (P-1 stage 1)
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100
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1010
TF factor-bounds graph:
220
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250
260
270
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2100
Last modified: 2021-08-07T12:30:41+00:00