is 2 4178051 - 1
has 1257719 decimal digits
takes 0.521 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
Actual2677.111967.1642%3370002279663102.30388.0365%9.415769.8030%
Target2651.746266.1538%220004500000.00821.8730%1.754466.7878%
Difference+2+5.3657+1.0103%+315000+227516310+2.2956+6.1634%+7.6613+3.0152%

Known prime factors (2 factors, 123.6 bits, 0.00295908% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
41780513451404370091238.32841304
23 × 3 × 1721		-817211.701e-81.833e-53.166e-5
4178051477401940243079744967131692685.3035713213412702235384
23 × 32 × 7 × 17 × 37 × 11087 × 13967 × 116381		2023-01-20139671163813,103,0210.00350.0051

1 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2023-01-20USAFSS6917th_Scty_Sq2240002240002685.3030.0411.0420.0811.581%
2023-01-25USAFSS6917th_Scty_Sq337000227966310-
skipped known factor: 345140437009
skipped known factor: 47740194024307974496713169
--2.304--8.036%


Trial Factoring results:
No TF results for M4178051


ECM factoring results:
Total ECM effort:0.545 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.545


Lucas-Lehmer results:
No L-L results for M4178051


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-20kkmrkkblmbrbkManual testing
345140437009
D27D3214160D63__no
2018-01-15ATHec2-1xf
345140437009
D27D3214160D63__no
2023-01-26Perigbrusaire
345140437009
47740194024307974496713169
989F230B2B00DB2Cno


P-1 factor-bounds graph:
B1 = 337000, B2 = 227966310 (P-1 stage 2)
B1 = 337000 (P-1 stage 1)
B1 = 224000 (P-1 stage 1)
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102
103
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105
106
100
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
this exponent TF target: 65
TF double-checked to: 67.7
ECM T-Level=0.58 ~= -15-bit
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290
Last modified: 2023-03-25T13:08:14+00:00