is 2 20389 - 1
has 6138 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2671,457.350477.6119 %12000000000360104966336115091,039.800134.6078 %92,497.150585.3600 %
Target2440.000165.9091 %500500000.00001.5684 %0.000166.4438 %
Difference+23+1,457.3503+11.7028 %+11999999500+3601049663311150+91,039.8001+33.0394%+92,497.1504+18.9162 %

Known prime factors (2 factors, 202.5 bits, 0.99306351% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2038929366057312398267805985346492891.24672014461995189238819916
22 × 6037391 × 33797263 × 88232563
2003-11-2833797263882325632.873e+100.01710.0319
20389304382228704959978993183148413035334111.23074643736501289906075134422584
23 × 337 × 14579839 × 1898981592544867561
2003-11-281457983918989815925448675618.984e+1248,006,25589,662,315

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-04-29ANONYMOUSv4_computers10000010000000--0.00020.104%
2001-08-18Alex Kruppav4_computers1000000100000000--0.00328.161%
2002-04-28ANONYMOUSv4_computers163841638400--4.86000e-513.562%
2002-06-09ANONYMOUSv4_computers327683276800--9.72000e-516.081%
2002-07-20ANONYMOUSv4_computers65536655360012--0.00018.586%
2003-02-02ANONYMOUSv4_computers1310721310720030--0.00021.071%
2003-03-27ANONYMOUSv4_computers2621442621440030--0.00123.527%
2003-04-03ANONYMOUSv4_computers5242885242880048--0.00225.946%
2003-04-27ANONYMOUSv4_computers104857610485760048--0.00328.322%
2003-05-19ANONYMOUSv4_computers209715220971520012--0.00630.650%
2003-07-06ANONYMOUSv4_computers419430441943040012--0.01232.927%
2003-09-29ANONYMOUSv4_computers838860883886080012--0.02535.149%
2003-09-29ANONYMOUSv4_computers16777216167772160012--0.05037.315%
2003-11-28eteov4_computers2891.246-0.000%
2003-11-28eteov4_computers34111.230-0.000%
2009-07-04GrunwalderGIMPv4_computers2891.246-0.000%
2016-11-12kkmrkkblmbrbkManual testing5000000001000000000012
skipped known factor: 2936605731239826780598534649
---42.249%
2023-04-06nordisweet16_30.9b31200000000012000000000
skipped known factor: 2936605731239826780598534649
--5.56839.199%
2023-08-11nordisweet16_30.8b14120000000003601049663361150
skipped known factor: 2936605731239826780598534649
--128,81573.306%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-10-15ANONYMOUSv4_computers2522530.029
2000-03-01ANONYMOUSv4_computers2532540.059
2000-08-17ANONYMOUSv4_computers212560.471
2002-10-26ANONYMOUSv4_computers212570.942
2022-06-16LordJuliusManual testing257260
2022-06-15LordJuliusWhitebox259260


ECM factoring results:
Total ECM effort:432.976 GHz-days
Estimated T-Level:39.824
DigitsB1CompleteFacMiss
20110001,000.8440.000%
2550000232.7790.000%
3025000046.5830.000%
3510000007.3550.064%
4030000000.96538.105%
45110000000.10889.739%
50440000000.01198.936%


ECM Summary

B1B2factorcurvesGHz-days
10.000
500005000000830.025
250000250000004490.744
10000001000000001,4219.488
30000003000000001002.003
30000005280000004009.99
300000068030098501,800410.7


Lucas-Lehmer results:
No L-L results for M20389


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOliver-PC3665ECB711A359__
2017-10-02kkmrkkblmbrbkManual testing
2936605731239826780598534649
3043822287049599789931831484130353
3665ECB711A3596D
2017-12-07ATHManual testing
2936605731239826780598534649
3043822287049599789931831484130353
3665ECB711A3596D
2020-04-17Oliver KruseManual testing
2936605731239826780598534649
3043822287049599789931831484130353
D7955D2FACE7201B


CERT results:
No CERT results for M20389


P-1 factor-bounds graph:
B1 = 12000000000, B2 = 3601049663361150 (P-1 stage 2)
B1 = 12000000000 (P-1 stage 1)
B1 = 500000000, B2 = 10000000000 (P-1 stage 2)
B1 = 500000000 (P-1 stage 1)
B1 = 16777216, B2 = 1677721600 (P-1 stage 2)
B1 = 8388608, B2 = 838860800 (P-1 stage 2)
B1 = 4194304, B2 = 419430400 (P-1 stage 2)
B1 = 16777216 (P-1 stage 1)
B1 = 2097152, B2 = 209715200 (P-1 stage 2)
B1 = 8388608 (P-1 stage 1)
B1 = 1048576, B2 = 104857600 (P-1 stage 2)
B1 = 1000000, B2 = 100000000 (P-1 stage 2)
B1 = 4194304 (P-1 stage 1)
B1 = 524288, B2 = 52428800 (P-1 stage 2)
B1 = 2097152 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 1048576 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 524288 (P-1 stage 1)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 262144 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 16384 (P-1 stage 1)
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TF factor-bounds graph:
260
257
256
254
253
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=39.82 ~= 116-bit
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Last modified: 2024-03-13T02:15:48+00:00