is 2 853162201 - 1
has 256827414 decimal digits
takes 37,096.756 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
Actual2744.484359.4595%----4.484359.4595%0.0000%
PrimeNet281574.021362.9630%3000000220000000934.54755.5407%1,508.568865.0151%2.0521%
GPU722859,184.344364.7059%45000002200000001,023.96714.1504%10,208.311566.1707%1.4648%
Difference-11-9,179.8600-5.2464%-4500000-220000000-1,023.9671-4.1504%-10,203.8271-6.7113%-1.4648%

Known prime factors (5 factors, 295.8 bits, 0.00003467% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
8531622011416249253671237.04383
83
2008-05-231832.185e-110.00030.0005
853162201584494649797224071755.69834254603
33 × 283 × 4483
2015-02-0928344837.967e-60.03230.0363
85316220191467831758322589931962.9885360518296
23 × 32 × 7 × 10635949
2016-11-229106359490.001136.53568.237
8531622012092438662693354189912167.504122628420495
32 × 5 × 7 × 37 × 59 × 151 × 1181
2022-09-2115111810.04040.01310.0194
85316220171193672729568637527192272.5924172341006559
112 × 79 × 9923 × 43987
2022-09-259923439872.21270.74261.2733

26 Composite Factors:
exponentprime factorscomposite factordigitsbits*
85316220182779011154942660597525983692892.741
853162201129541248462537491799463957543131100.031
8531622012963414694389715743529004944469732104.547
853162201100827985869277814638921591832287334109.636
85316220153462458291292172138351476086935615136118.686
8531622011223019203373123918761877780821603133738123.202
85316220141612320809847402244577865560091147463339128.290
853162201191390827563845231829119803901368273606340130.492
8531622016511930879485263131152574526210111595196741135.580
853162201148968393358486919026684153396187248048652943140.096
8531622017571616665440604225085344599226541692271738241747155.729
853162201173210003400126469648293511753635127751555822567949160.245
8531622015893341829042299341547168490368068413207253871531150165.334
85316220127105711669657947385337905124832957178673873441012
1
51167.535
85316220192225172480216306232584009996441244003047395318468
89
52172.623
85316220121097637591437608383199915506216598587247583347388
1143
54177.139
85316220111186691473133061837940188832918351428510097634198
8063641
57186.190
85316220138061887589084682138175859915819197318488720935352
05624569
58191.278
85316220187071228906923931762207086501380202861486032079778
722955303
59195.794
85316220113625815941021701794562242015561853232355382562353
705775605297
62203.084
85316220115843143449861251684584750924719483538674204134492
892181561471281247
68223.233
85316220153905119891312616716620741420989407228968116317005
2539766583246541823
69228.322
85316220112331456295556074825368779416956484372749279132011
629428419357051871201
71232.837
85316220119297551657116773903822074918901391166045387650140
76804325977036874868999
73240.127
85316220179642165166489127333675288185260923908062987446846
6364392834093056631458789879
78258.782
85316220111279315697770309788048722395049795217900886566694
7127652084954698758563255540949509960593
90295.825
P-1 results:
No P-1 results for M853162201


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2015-02-09T12:25:00TJAOIManual testing255256*55.698172.34163e-676,0574.80091e-6
2022-07-17T19:03:53J.R. AllenManual testing2126237.043122.18462e-1176,0574.47898e-11
2022-07-17T19:03:53J.R. AllenManual testing2126255.698177.96740e-676,0571.63351e-5
2016-11-22T17:18:42TJAOIManual testing262263*62.988190.00076,0570.001
2022-09-21T07:17:32TJAOIManual testing267268*67.504210.00676,0570.011
2022-09-25T22:01:43LordJuliusManual testing26227067.504210.04076,0570.081
2022-09-25T22:01:43LordJuliusManual testing26227062.988190.00076,0570.001
2022-09-25T22:01:43LordJuliusManual testing270271--0.280--
2022-09-25T22:01:43LordJuliusManual testing271272--0.561--
2022-09-25T22:01:44LordJuliusManual testing27227372.592221.09276,0552.238
2022-09-25T22:01:44LordJuliusManual testing273274--2.242--


ECM factoring results:
No ECM results for M853162201


Lucas-Lehmer results:
No L-L results for M853162201


PRP results:
No PRP results for M853162201


P-1 factor-bounds graph:
100
101
102
103
104
100
101
102
103
104
105
106
107
108
TF factor-bounds graph:
274
273
272
271
270
268
263
262
256
230
240
250
260
270
280
290
2100
Last modified: 2022-09-25T22:01:44+00:00