is 2 4339 - 1
has 1307 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
Actual2676,848.102780.5970 %740000000007417540461771940503,561,497.010341.3458 %3,568,345.113088.6193 %
Target2440.000570.4545 %500500000.00000.9742 %0.000570.7424 %
Difference+23+6,848.1021+10.1425 %+73999999500+741754046177144050+3,561,497.0103+40.3716%+3,568,345.1125+17.8770 %

Known prime factors (2 factors, 229.4 bits, 5.28701997% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
4339360550699698731445.0354154767224
23 × 3 × 17 × 1811 × 5623
1999-04-02181156230.00141.779e-73.248e-7
433931656104144718898310053878501271041700569421852927
688143
56184.36936478571266096909783422307560810142545021228224161
89

3 × 21717767 × 9516829981168483 × 5883138672962295756507054883
2020-10-01951682998116848358831386729622957565070548834.191e+132.825e+165.276e+16

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
1999-04-02ANONYMOUSv4_computers1445.035-0.000%
2009-10-25Carsten Kossendeyv4_computers1445.035-0.000%
2021-07-05ViliamF31000000000201000000000
skipped known factor: 36055069969873
--1.09348.021%
2023-05-21ANONYMOUSGreatLakes74000000000741754046177194050
skipped known factor: 36055069969873
--4,980,89080.733%


Trial Factoring results:
5758596061626364656667
No TF results for M4339


ECM factoring results:
Total ECM effort:75,076.686 GHz-days
Estimated T-Level:51.420
DigitsB1CompleteFacMiss
20110001,459.2220.000%
2550000840.2990.000%
30250000307.3670.000%
351000000102.1160.000%
40300000027.6330.000%
45110000006.6950.124%
50440000001.44923.479%
551100000000.28475.282%
602600000000.05195.030%
658000000000.00899.157%
7024000000000.00199.870%


ECM Summary

B1B2factorcurvesGHz-days
30000003000000007852.720
11000000110000001041.025
1100000011000000001141.650
44000000440000000020010.16
11000000090051415378213.809
11000000036501837672304306,792
26000000080453062790101,96068,265


Lucas-Lehmer results:
No L-L results for M4339


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOliver-PC
36055069969873
6B17848EB55F7974
2017-09-21Oliver KruseManual testing
36055069969873
6B17848EB55F7974
2017-10-12kkmrkkblmbrbkManual testing
36055069969873
6B17848EB55F7974
2020-04-17Oliver KruseIOS-1
36055069969873
BBF4A10A4FC9A9F6
2020-10-01mnd9vv
36055069969873
31656104144718898310053878501271041700569421852927
688143
BBF4A10A4FC9A9F6
2020-10-02tottenhoff3rd-Floor
36055069969873
31656104144718898310053878501271041700569421852927
688143
BBF4A10A4FC9A9F6


CERT results:
No CERT results for M4339


P-1 factor-bounds graph:
B1 = 74000000000, B2 = 741754046177194050 (P-1 stage 2)
B1 = 74000000000 (P-1 stage 1)
B1 = 1000000000, B2 = 201000000000 (P-1 stage 2)
B1 = 1000000000 (P-1 stage 1)
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TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=51.42 ~= 154-bit
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Last modified: 2024-04-17T15:19:26+00:00