is 2 4591991 - 1
has 1382328 decimal digits
takes 0.605 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LC22B73516F4D5704double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2676.470865.6716 %2800001227599101.32757.2884 %7.798368.1736 %
Target2651.588864.6154 %2800030000000.03632.1864 %1.625065.3890 %
Difference+2+4.8820+1.0563 %+252000+119759910+1.2912+5.1021%+6.1732+2.7846 %

Known prime factors (2 factors, 131.2 bits, 0.00285713% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
4591991126793480326116407272063.4591380593737293
3 × 953 × 482893927
2010-05-029534828939270.46175.02319.3814
45919912465159555734571140492167.74026841946725664
25 × 73 × 2445512639
2023-03-21343244551263911.12625.43747.510

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2007-11-17Richard B. Woodsv4_computers10250001025000--0.1963.716%
2022-09-09USAFSS6917th_Scty_Sq280000122759910--1.3978.749%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-11-03ANONYMOUSv4_computers212610.033
2007-01-01Richard B. Woodsv4_computers212620.067
2007-06-15Richard B. Woodsv4_computers212630.214
2023-03-21TJAOIManual testing267268*
67.740
21
4.819


ECM factoring results:
Total ECM effort:0.132 GHz-days
DigitsB1CompleteFacMiss


ECM Summary

B1B2factorcurvesGHz-days
10.132


Lucas-Lehmer results:
No L-L results for M4591991


PRP results:
dateuseridcompidcofactorsres64
2017-09-20kkmrkkblmbrbkManual testing
12679348032611640727
206E003FD984FF10
2018-02-25Oliver KruseGTX-3
12679348032611640727
206E003FD984FF10
2023-03-27Funky Waddlemain
12679348032611640727
246515955573457114049
B96852A1E9E8B49B


CERT results:
dateuseridcompid
2023-03-27iwessrvwes24


P-1 factor-bounds graph:
B1 = 280000, B2 = 122759910 (P-1 stage 2)
B1 = 1025000 (P-1 stage 1)
B1 = 280000 (P-1 stage 1)
101
102
103
104
105
106
107
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
263
262
261
this exponent TF target: 65
TF double-checked to: 67
250
260
270
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Last modified: 2024-03-13T02:15:48+00:00