is 2 40521227 - 1
has 12198105 decimal digits
takes 59.727 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
Actual2681.471061.7647%----1.471061.7647%0.0000%
PrimeNet2681.471061.7647%18000070000001.17885.1350%2.649863.7281%1.9634%
GPU7227223.600863.8889%28000090000001.61383.8120%25.214665.2655%1.3766%
Difference-4-22.1299-2.1242%-280000-9000000-1.6138-3.8120%-23.7437-3.5008%-3.5008%

Known prime factors (4 factors, 198.2 bits, 0.00048913% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
40521227324169817928.2724
22
-448.833e-138.549e-61.740e-5
40521227582589078645271445.728718869
3 × 239623
2008-09-1032396231.850e-70.02790.0521
405212271220682569105333271856.7601506226069
5843 × 257783
2015-08-0658432577830.00050.04180.0561
405212272003871602787275710572167.4412472619601064
23 × 3 × 71 × 109 × 1579 × 8431
2022-08-03157984311.35980.00420.0069

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
40521227188857795010635783815592374.000
40521227395708445041965739859911592685.033
40521227649594690767047857024021865692995.714
40521227711156333253417236018623459132931102.488
405212271167433710791259415483316552219503935113.169
405212272446091136247593623471612919315911663938124.202
40521227230535418409151280024802975339019171679340130.760
40521227378446772386833489916753693286067523093786343141.441
40521227792948916002704491611159664749474849274628506346152.474
4052122714250659813488471763034908672546730354479252035647
53
52169.929
4052122746196337838678120230326937089911865029598842626927
3727660201
60198.202
P-1 results:
No P-1 results for M40521227


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-10T04:44:00Will EdgingtonManual testing??45.728146.93285e-8123.11.42919e-7
2015-04-29T11:06:00TJAOIManual testing256257*56.760180.000123.10.000
2022-08-10T19:29:24LordJuliusManual testing2126656.760180.000123.10.001
2022-08-10T19:29:24LordJuliusManual testing2126628.27298.83277e-13123.11.82085e-12
2022-08-10T19:29:24LordJuliusManual testing2126645.728141.85001e-7123.13.81376e-7
2022-08-10T19:29:24LordJuliusManual testing266267--0.369--
2022-08-03T11:23:16TJAOIManual testing267268*67.441210.627121.71.276
2022-08-10T19:29:24LordJuliusManual testing26726867.441210.627121.71.276


ECM factoring results:
No ECM results for M40521227


Lucas-Lehmer results:
No L-L results for M40521227


PRP results:
No PRP results for M40521227


P-1 factor-bounds graph:
100
101
102
103
104
100
101
102
103
104
105
106
TF factor-bounds graph:
268
267
266
257
2
220
230
240
250
260
270
280
290
2100
Last modified: 2022-08-10T19:29:24+00:00