is 2 4507 - 1
has 1357 decimal digits
takes 0.000 GHz-days to do one PRP test
Has been fully factored.
Last-known PrimeNet details:
-unknown- L-L tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actualunknown----0.00000.0000%-67.5000%
PrimeNet2400.000067.5000%500100000.00002.4685%0.000069.9685%2.4685%
GPU722440.000570.4545%500100000.00000.9860%0.000571.4405%0.9860%
Difference-44-0.0005-70.4545%-500-100000.0000-0.9860%-0.0005-71.4405%-71.4405%

Known prime factors (3 factors, 4,507.0 bits, 100.00000000% known):
Remaining cofactor is a certified-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
450721381209824.3502372
22 × 593
-45937.505e-103.181e-95.347e-9
450716017884955731529552690275607179591643953137468818
001
53173.4201777000771658700860072140626489859290431898987000
23 × 33 × 53 × 65814843394766698521190393573698492238218481
2021-04-18125658148433947666985211903935736984922382184813.477e+133.160e+325.902e+32
4507
click to show decimal representation
1,2984,309.2302021-04-18

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
450734248174597645158125574729502470874947401561842652
8662343209
60197.770
P-1 results:
Exponent "4507" not found


Trial Factoring results:
Exponent "4507" not found


ECM factoring results:
Total ECM effort:29.273 GHz-days
Estimated T-Level:38.847
DigitsB1CurvesCompleteFacMiss
20110003734 / 10037.3400.000%
25500003734 / 28013.3360.000%
302500003734 / 6405.8340.291%
3510000003616 / 15802.28910.133%
4030000003616 / 47000.76946.327%
4511000000121 / 97000.01298.760%

ECM Summary

B1B2factorcurvesGHz-days
30000003000000003,49513.30
11000000110000001181.116
1100000011000000001201.674
2600000003142865025316113.19


Lucas-Lehmer results:
Exponent "4507" not found


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T18:35:12Oliver KruseOliver-PC
21381209
B373D0161DEAF0__no
2017-09-21T19:21:12Oliver KruseManual testing
21381209
B373D0161DEAF0__no
2017-10-12T13:52:43kkmrkkblmbrbkManual testing
21381209
B373D0161DEAF0__no
2020-04-17T12:32:29Oliver KruseIOS-1
21381209
8475381DEC6A58__no
2021-04-18T16:13:40ThomRuley
21381209
16017884955731529552690275607179591643953137468818
001
PRP
2021-04-18T17:45:29ATH5960X
21381209
16017884955731529552690275607179591643953137468818
001
PRP


P-1 factor-bounds graph:
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TF factor-bounds graph:
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Last modified: 2021-04-18T17:45:29+00:00