is 2 31894241 - 1
has 9601124 decimal digits
takes 35.106 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
Actual2681.868863.2353%----1.868863.2353%0.0000%
PrimeNet2670.931662.6866%14000055000000.68955.0922%1.621264.5866%1.9001%
GPU7227114.989564.7887%22000065000000.89723.7026%15.886766.0925%1.3037%
Difference-3-13.1207-1.5534%-220000-6500000-0.8972-3.7026%-14.0179-2.8572%-2.8572%

Known prime factors (4 factors, 209.4 bits, 0.00065665% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3189424186114450711033.004135
33 × 5
-27273.693e-114.309e-58.770e-5
3189424195477961972791343.118149679
32 × 16631
2008-10-019166315.136e-80.00150.0027
31894241674777237675872561912065.8711057835547295
5 × 211567109459
2019-06-1952115671094590.271118,39734,360
318942412001795816274522365532167.4403138177541636
22 × 53 × 227 × 65210239
2022-08-03227652102391.06885.670710.591

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
31894241822203225019707881618092376.122
318942415810807117406888268884011845613098.875
31894241172383547152056572075225788026331100.443
3189424164426355438921240145725135010428933108.989
31894241191127384823548963823393696293928734110.558
318942411350766251296840702073218543662354574962341133.311
31894241554804020986992355010112035606367484500951943141.993
318942411645882975971870929244120960442823270840437744143.562
3189424111632049376803326221740597308926981592813398345823
3
51166.315
3189424112896840877544785757481304582607735436572396284787
5817
54176.429
3189424111106043680640435989301338172254709565174339512129
27327124748007
64209.433
P-1 results:
No P-1 results for M31894241


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-10-01T03:34:00markrManual testing??43.118131.46245e-872.443.01754e-8
2022-08-10T19:29:24LordJuliusManual testing2126533.004103.69275e-1172.447.61941e-11
2022-08-10T19:29:24LordJuliusManual testing2126543.118135.13647e-872.441.05983e-7
2019-06-19T12:50:51TJAOIManual testing265266*65.871200.04271.970.087
2022-08-10T19:29:24LordJuliusManual testing26526665.871200.04271.970.087
2022-08-10T19:29:24LordJuliusManual testing266267--0.469--
2022-08-03T11:17:45TJAOIManual testing267268*67.440210.13771.500.279
2022-08-10T19:29:24LordJuliusManual testing26726867.440210.13771.500.279


ECM factoring results:
No ECM results for M31894241


Lucas-Lehmer results:
No L-L results for M31894241


PRP results:
No PRP results for M31894241


P-1 factor-bounds graph:
100
101
102
103
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
268
267
266
265
2
230
240
250
260
270
280
290
2100
Last modified: 2022-08-10T19:29:24+00:00