is 2 4209221 - 1
has 1267102 decimal digits
takes 0.525 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2677.059265.6716%----7.059265.6716%0.0000%
PrimeNet2610.073062.2951%170003400000.00632.8357%0.079263.3643%1.0692%
GPU722651.733364.6154%220004500000.00821.8755%1.741565.2790%0.6637%
Difference+2+5.3260+1.0563%-22000-450000-0.0082-1.8755%+5.3178+0.3926%+0.3926%

Known prime factors (3 factors, 151.5 bits, 0.00359827% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
420922121551211531031.005256
28
-2562567.173e-114.630e-59.422e-5
420922198102882375122331653.1231165332996
22 × 32 × 23 × 41 × 34327
2014-09-0541343270.00050.00030.0006
42092211855924314105317879532167.33122045935745656
23 × 33 × 181 × 563892361
2018-12-1618156389236114.1245.556110.377

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
4209221211423596976897014345646492684.128
42092213999741747695386831964208698093098.336
4209221182071524683803588518860513819952904937120.454
4209221392386194205026750114304232789829338813787349746151.459
P-1 results:
No P-1 results for M4209221


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2014-09-05T11:11:00TJAOIManual testing??53.123160.0001.1390.000


ECM factoring results:

Old Calculation Method

Total ECM effort:0.364 GHz-days
Estimated T-Level:0.100
DigitsB1CurvesCompleteFacMiss
20110002 / 1000.02098.010%
25500002 / 2800.00799.287%

New Calculation Method

Total ECM effort:0.364 GHz-days
Estimated T-Level:0.100
DigitsB1CompleteFacMiss
20110000.06593.752%
25500000.00699.419%


ECM Summary

B1B2factorcurvesGHz-days
50000500000020.364


Lucas-Lehmer results:
No L-L results for M4209221


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-20T06:34:16kkmrkkblmbrbkManual testing
2155121153
9810288237512233
FCD32E3B438D37__no
2018-01-19T21:47:14Oliver KruseGTX-3
2155121153
9810288237512233
FCD32E3B438D37__no
2018-12-17T03:49:22ATHec2-PRPCF
2155121153
9810288237512233
185592431410531787953
6F82FCFB51C1D86Ano
2018-12-17T16:41:57J.R. Allenlaphp
2155121153
9810288237512233
185592431410531787953
6F82FCFB51C1D86Ano


P-1 factor-bounds graph:
100
101
102
103
100
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
267
2
230
240
250
260
270
280
290
2100
Last modified: 2018-12-17T16:41:57+00:00