is 2 4679 - 1
has 1409 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
Actual2676,350.484680.5970 %680000000006820154652838527003,274,665.033041.2555 %3,281,015.517688.6018 %
Target2440.000570.4545 %500500000.00000.9977 %0.000570.7493 %
Difference+23+6,350.4841+10.1425 %+67999999500+682015465283802700+3,274,665.0330+40.2578%+3,281,015.5171+17.8525 %

Known prime factors (1 factor, 54.5 bits, 1.16531202% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
4679259206161320941291754.5252769888451816
23 × 1031 × 1499 × 224033
-14992240330.99431.201e-62.009e-6

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2021-07-08ViliamF31000000000201000000000
skipped known factor: 25920616132094129
--1.09348.158%
2023-05-27ANONYMOUSGreatLakes68000000000682015465283852700
skipped known factor: 25920616132094129
--4,579,74080.687%


Trial Factoring results:
5758596061626364656667
No TF results for M4679


ECM factoring results:
Total ECM effort:60,582.780 GHz-days
Estimated T-Level:51.749
DigitsB1CompleteFacMiss
20110002,258.5330.000%
25500001,180.8860.000%
30250000432.2330.000%
351000000138.2820.000%
40300000036.5520.000%
45110000008.6290.018%
50440000001.82416.141%
551100000000.35070.477%
602600000000.06294.016%
658000000000.01098.997%
7024000000000.00199.855%


ECM Summary

B1B2factorcurvesGHz-days
300000030000000010.003
4400000044000000001,30071.78
11000000011000000000850122.4
11000000014936080259106804,434
26000000060836419944302,12055,954


Lucas-Lehmer results:
No L-L results for M4679


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOliver-PC
25920616132094129
DAFBF9F0D9BBE2B6
2017-09-21Oliver KruseManual testing
25920616132094129
DAFBF9F0D9BBE2B6
2017-10-12kkmrkkblmbrbkManual testing
25920616132094129
DAFBF9F0D9BBE2B6
2020-04-17Oliver KruseIOS-1
25920616132094129
831B2010DE7E30C7
2024-02-03Wentao HuangManual testing
25920616132094129
831B2010DE7E30C7


CERT results:
No CERT results for M4679


P-1 factor-bounds graph:
B1 = 68000000000, B2 = 682015465283852700 (P-1 stage 2)
B1 = 68000000000 (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=51.75 ~= 155-bit
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Last modified: 2024-03-13T02:15:48+00:00