is 2 5051 - 1
has 1521 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
Actual2675,882.779280.5970 %30000000000013521469734389116506,768,235.295643.5497 %6,774,118.074889.0470 %
Target2440.000570.4545 %500500000.00001.0220 %0.000570.7565 %
Difference+23+5,882.7787+10.1425 %+299999999500+1352146973438861650+6,768,235.2956+42.5277%+6,774,118.0743+18.2905 %

Known prime factors (1 factor, 13.3 bits, 0.26336361% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
505110103513.3021
1
-112.161e-139.187e-111.870e-10

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2023-06-10ANONYMOUSGreatLakes62000000000622276884390511350
skipped known factor: 10103
--4,178,60080.627%
2023-07-01mikrNitron3000000000001352146973438911650
skipped known factor: 10103
--6,768,24082.179%


Trial Factoring results:
5758596061626364656667
No TF results for M5051


ECM factoring results:
Total ECM effort:56,973.697 GHz-days
Estimated T-Level:51.469
DigitsB1CompleteFacMiss
20110001,862.4330.000%
2550000958.1420.000%
30250000336.1590.000%
351000000108.5650.000%
40300000028.9960.000%
45110000006.9740.094%
50440000001.50322.238%
551100000000.29474.542%
602600000000.05394.875%
658000000000.00999.132%
7024000000000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
30000003000000002,82311.20
11000000110000001201.183
110000001100000000180.262
11000000018623379274505804,702
26000000060836419944301,98052,259


Lucas-Lehmer results:
No L-L results for M5051


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOliver-PC
10103
5A35579278BF886E
2017-09-21Oliver KruseManual testing
10103
5A35579278BF886E
2017-10-12kkmrkkblmbrbkManual testing
10103
5A35579278BF886E
2020-04-17Oliver KruseIOS-1
10103
CC05B6916BA730FD
2022-05-12Jorge CoveiroManual testing
10103
CC05B6916BA730FD


CERT results:
No CERT results for M5051


P-1 factor-bounds graph:
B1 = 300000000000, B2 = 1352146973438911650 (P-1 stage 2)
B1 = 62000000000, B2 = 622276884390511350 (P-1 stage 2)
B1 = 300000000000 (P-1 stage 1)
B1 = 62000000000 (P-1 stage 1)
100
101
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103
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105
106
107
108
109
1010
1011
1012
100
101
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103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=51.47 ~= 154-bit
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Last modified: 2024-03-13T02:15:48+00:00