is 2 198097 - 1
has 59634 decimal digits
takes 0.001 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
Actual267149.996873.1343%100000000100000000004.275014.8173%154.271877.1151%3.9808%
PrimeNet2400.000055.0000%2200500000.000012.6260%0.000060.6817%5.6817%
GPU722440.000059.0909%3600800000.00018.8513%0.000162.7119%3.6210%
Difference+23+149.9968+14.0434%+99996400+9999920000+4.2749+5.9660%+154.2717+14.4032%+14.4032%

Known prime factors (5 factors, 270.2 bits, 0.13640468% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
19809721806517771031.0225504
27 × 43
-1281281.720e-98.558e-71.742e-6
198097136825597911133.67234535
5 × 6907
2008-07-27569078.521e-92.548e-64.697e-6
198097423955313591135.303107007
3 × 53 × 673
2008-07-27536732.684e-85.802e-77.212e-7
19809764855138482191587691962.49216369540801272
23 × 34 × 37 × 682746947
2014-07-06816827469476.20330.24870.4645
19809726814727364956427551865723953811333107.725676808012361530652959553248
25 × 4016660741 × 5265630271037579
2020-10-24401666074152656302710375796.570e+111,918,1773,582,574

26 Composite Factors:
exponentprime factorscomposite factordigitsbits*
198097298368983221528986072064.694
198097924498907948625749432066.325
1980975800793926907329859692168.975
198097141426472978772168550649825132993.514
198097887384310036171387285644572792996.164
1980972749568057314041118957393370713097.795
19809712649511584721276972858159169133199.997
19809719350761725622960699609960442449193478339127.186
19809759958504701643016131055082411267812516739128.817
198097376211293436230824739670783762466031216140131.467
19809758473582878162761268547750605270077267680142138.747
198097366894110450380198088162521601524034581438343141.396
1980971136824614884045661943734898841044436718556744143.028
198097820385825559185184150738657006604296873525936009749162.489
19809717390728566164614344460835533989307424389349736628
97
52170.217
19809780006829392445584928656360539516427191822288011085
91
52172.418
19809724790186165842348216667467811746387914662847167302
559
53174.050
19809715554670765031503301519326031245927110289567886973
6497
54176.700
19809737923123151131528344768211114098527133993928643054
44542017969
61201.239
19809723794968341559903531654165185162611158888748943503
598480774527
62203.888
19809773728917828268901379673058082858519328139019818487
188858287023
62205.520
19809733919320444415897135439485109878788477065421197291
2243704805169
63207.722
19809751888539997681346588250231060476382057590779728957
994632995472638884479
71234.910
19809716077709567850156062742180578740964341249519967022
2305835558197880989871
72236.542
19809710088003265110151131532590092505275229009912874265
84928721021218036892193
73239.191
19809721998422246444253165715103318634222810014548459883
00181856913256366853412222876961
82270.214
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2017-09-30T02:16:20kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 2180651777
skipped known factor: 13682559791
skipped known factor: 42395531359
skipped known factor: 6485513848219158769
--1.361--12.322%
unknown10000000010000000000-
skipped known factor: 2180651777
--4.275--14.817%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-27T10:50:00J FeitsmaManual testing??33.672112.74453e-90.0025.69857e-9
2008-07-27T10:50:00J FeitsmaManual testing??35.303113.73606e-90.0027.75718e-9


ECM factoring results:

Old Calculation Method

Total ECM effort:11.899 GHz-days
Estimated T-Level:28.352
DigitsB1CurvesCompleteFacMiss
2011000710 / 1007.1000.080%
2550000710 / 2802.5367.885%
30250000429 / 6400.67051.128%

New Calculation Method

Total ECM effort:11.899 GHz-days
Estimated T-Level:28.352
DigitsB1CompleteFacMiss
201100044.8150.000%
25500006.0010.248%
302500000.61054.343%
3510000000.04995.233%
4030000000.00399.680%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002811.371
250000250000003989.71
2500002500000060.146
2500002900000070.180
25000031250000110.291
2500003850000070.201


Lucas-Lehmer results:
No L-L results for M198097


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T02:03:04Oliver KruseOllaptopB82CF5BA9D892C__?
2017-09-22T10:02:28Oliver KruseManual testingB82CF5BA9D892C__?
2017-10-12T06:24:37kkmrkkblmbrbkc4.xlargeB82CF5BA9D892C__no
2020-04-17T19:06:40Oliver KruseAddPrpType5
2180651777
13682559791
42395531359
6485513848219158769
9C4F8380E1C796__no
2020-10-24T06:46:51Jinyuan WangManual testing
2180651777
13682559791
42395531359
6485513848219158769
268147273649564275518657239538113
9C4F8380E1C79686no
2020-10-26T10:32:52LordJuliusBabybox
2180651777
13682559791
42395531359
6485513848219158769
268147273649564275518657239538113
9C4F8380E1C79686no


P-1 factor-bounds graph:
B1 = 100000000, B2 = 10000000000 (P-1 stage 2)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
109
1010
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
TF factor-bounds graph:
267
2
230
240
250
260
270
280
290
2100
2110
Last modified: 2022-05-01T10:38:18+00:00