is 2 5021 - 1
has 1512 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
Actual2675,917.928280.5970 %630000000006322333145151523503,035,638.385141.1768 %3,041,556.313388.5865 %
Target2440.000570.4545 %500500000.00001.0201 %0.000570.7559 %
Difference+23+5,917.9277+10.1425 %+62999999500+632233314515102350+3,035,638.3851+40.1567%+3,041,556.3129+17.8306 %

Known prime factors (4 factors, 377.5 bits, 7.51935924% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
502140169515.2944
22
-448.701e-133.525e-107.174e-10
502110074296679021159591959.805100321616002999
379 × 264700833781
-37926470083378122.7071.27092.3738
50211704130350974570968084737403219932103.7491697002938632315244059686719
33 × 59 × 6269 × 122563751 × 1386457319557
1999-05-1612256375113864573195573.049e+136.667212.433
502165218601324181111929339336677801347424989654338759
6426769641
60198.69964945828843040342490877650545510204565813238736068
156420

22 × 5 × 257 × 23567 × 23662866171377814846511 × 22657735118100369535987469
2024-02-0723662866171377814846511226577351181003695359874693.481e+131.108e+142.032e+14

11 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
1999-05-16ANONYMOUSv4_computers32103.749-0.000%
2021-12-15Lisander ViaeneDesktop101101101242002648447560
skipped known factor: 40169
skipped known factor: 1007429667902115959
--1,62561.925%
2021-12-15Oliver KruseManual testing10000000001002849399191640
skipped known factor: 40169
skipped known factor: 1007429667902115959
skipped known factor: 17041303509745709680847374032199
--6,73467.036%
2023-06-02ANONYMOUSGreatLakes63000000000632233314515152350
skipped known factor: 40169
skipped known factor: 1007429667902115959
skipped known factor: 17041303509745709680847374032199
--4,245,45080.648%


Trial Factoring results:
5758596061626364656667
No TF results for M5021


ECM factoring results:
Total ECM effort:55,441.693 GHz-days
Estimated T-Level:51.431
DigitsB1CompleteFacMiss
20110001,754.0000.000%
2550000918.6060.000%
30250000324.9610.000%
351000000105.4340.000%
40300000028.2230.000%
45110000006.7940.112%
50440000001.46523.108%
551100000000.28675.104%
602600000000.05195.002%
658000000000.00899.154%
7024000000000.00199.869%


ECM Summary

B1B2factorcurvesGHz-days
30000003000000002,4909.88
110000001100000000180.262
11000000018623379274505804,702
26000000060836419944301,92050,676
2600000006083641994430252.79
100000000010000000000011.322


Lucas-Lehmer results:
No L-L results for M5021


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOliver-PCE8266A27D289E1__
2017-10-02kkmrkkblmbrbkManual testing
40169
1007429667902115959
17041303509745709680847374032199
E8266A27D289E149
2017-12-07ATHManual testing
40169
1007429667902115959
17041303509745709680847374032199
E8266A27D289E149
2020-04-17Oliver KruseIOS-1
40169
1007429667902115959
17041303509745709680847374032199
B8AA7B10940EE62D
2024-02-03Wentao HuangManual testing
40169
1007429667902115959
17041303509745709680847374032199
B8AA7B10940EE62D
2024-02-08Ryan Propperboulder
40169
1007429667902115959
17041303509745709680847374032199
65218601324181111929339336677801347424989654338759
6426769641
B8AA7B10940EE62D


CERT results:
No CERT results for M5021


P-1 factor-bounds graph:
B1 = 63000000000, B2 = 632233314515152350 (P-1 stage 2)
B1 = 1000000000, B2 = 1002849399191640 (P-1 stage 2)
B1 = 101101101, B2 = 242002648447560 (P-1 stage 2)
B1 = 63000000000 (P-1 stage 1)
B1 = 1000000000 (P-1 stage 1)
B1 = 101101101 (P-1 stage 1)
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109
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1016
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TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=51.43 ~= 154-bit
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Last modified: 2024-03-13T02:15:48+00:00