is 2 7841 - 1
has 2361 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
Actual2673,789.557180.5970 %10000000002010000000001.753817.4061 %3,791.310983.9743 %
Target2440.000370.4545 %500500000.00001.1724 %0.000370.8009 %
Difference+23+3,789.5568+10.1425 %+999999500+200999950000+1.7537+16.2336%+3,791.3106+13.1734 %

Known prime factors (4 factors, 233.9 bits, 2.98318104% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
78412367983721.175151
151
-11513.680e-111.352e-92.328e-9
78416837353722.705436
22 × 109
-41097.799e-111.433e-91.572e-9
78411216019928718331546.7897754240076
22 × 3 × 11 × 58744243
-11587442430.00230.00050.0009
78411318523442927900645096142819207542525479468944143.242840787809544637574987975270506021250784
25 × 67 × 18617 × 285840089 × 73693432924617407711597
2023-02-26285840089736934329246174077115972.255e+135.919e+111.105e+12

11 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2021-07-10ViliamF31000000000201000000000
skipped known factor: 2367983
skipped known factor: 6837353
skipped known factor: 121601992871833
--1.75449.095%


Trial Factoring results:
5758596061626364656667
No TF results for M7841


ECM factoring results:
Total ECM effort:2,398.164 GHz-days
Estimated T-Level:42.646
DigitsB1CompleteFacMiss
20110001,572.8000.000%
2550000439.2690.000%
30250000107.8920.000%
35100000021.2310.000%
4030000003.5562.854%
45110000000.52958.913%
50440000000.07193.174%
551100000000.00999.135%


ECM Summary

B1B2factorcurvesGHz-days
30000003000000003,92424.97
11000000993243150901,4431,305
4300000089392189887090723.1
4300000089392189887043345.5


Lucas-Lehmer results:
No L-L results for M7841


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOliver-PC
2367983
6837353
121601992871833
5C5BCA36CFF3E138
2017-09-21Oliver KruseManual testing
2367983
6837353
121601992871833
5C5BCA36CFF3E138
2017-10-12kkmrkkblmbrbkManual testing
2367983
6837353
121601992871833
5C5BCA36CFF3E138
2020-04-17Oliver KruseIOS-1
2367983
6837353
121601992871833
D12512A7F1A5E978
2023-02-26Kevin_9611PRP
2367983
6837353
121601992871833
13185234429279006450961428192075425254794689
D12512A7F1A5E978


CERT results:
No CERT results for M7841


P-1 factor-bounds graph:
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=42.65 ~= 125-bit
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Last modified: 2024-03-13T02:15:48+00:00