is 2 10436197 - 1
has 3141609 decimal digits
takes 3.409 GHz-days to do one PRP test
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
Actual2672.847264.1791%500000048000000014.626512.3731%17.473768.6113%6.1113%
PrimeNet2640.341162.5000%4500013000000.05373.7687%0.394863.9133%1.4133%
GPU722685.711464.7059%7000017000000.07522.7023%5.786665.6596%0.9538%
Difference-1-2.8642-0.5268%+4930000+478300000+14.5513+9.6708%+11.6871+2.9516%+2.9516%

Known prime factors (5 factors, 301.1 bits, 0.00288531% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1043619762617183825.9003
3
-134.286e-135.253e-79.640e-7
1043619750093745611032.222240
24 × 3 × 5
2008-09-0816165.767e-117.579e-61.542e-5
1043619742408089552186062804812271.845203177889187920
24 × 34 × 5 × 23 × 3083 × 442181
2020-07-02308344218174.3770.01280.0213
104361971072364345310583040522092476.5055137716091937432
23 × 31 × 71 × 506479 × 576101
2021-05-215064795761012,371.70.24170.4882
10436197309617142334343467545681637212994.6441483381074228205291380
22 × 32 × 5 × 211 × 6257 × 975943 × 6395981
2021-05-229759436395981449,323,6200.60210.9408

26 Composite Factors:
exponentprime factorscomposite factordigitsbits*
104361973136729236016816631858.122
104361972655475104169622744698281050233097.745
10436197671484344529879700850681250724731102.405
104361972124380049833307449531635224384132104.067
1043619753718746715222543272693898045524933108.727
10436197193873532614866320921625079369181794337120.545
1043619715509882364591763229598666988446050148139126.866
10436197133022694341961332062585667134505251990340129.967
104361973363716593597738877831692716899974994356741134.627
1043619745476923188502583953659964005299637952163252945148.350
10436197971185142332115158440450747371585207750754802346152.767
1043619713130271499006776330723457458045106162142605462980
1
51166.489
1043619733202238413630183704361475086104580017778384437096
89
52171.150
1043619728476368215714097953991894858932603994843516527145
807
53174.250
1043619722781094213303585174023102653232367554007673399626
94769
55180.572
1043619782218061329299163174097925804312523480931119837222
46470583
58192.389
1043619720790306387559109073396203836165512441113723517420
4794986087
60197.050
1043619765774448026147882117743010516296879599181509060512
1401892361
60198.711
1043619716632244847749603791038511804476756772664796673487
146545821529
62203.372
1043619714264879452946716273978914650652367006525608686686
7271523615727
63206.472
1043619741186106487772907196291416364698861921909152030582
467559510515039063
68224.611
1043619710414643193323440787609522537085812980804409709615
35903407524566732807
70229.272
1043619714080434999782609495499828853444489921159250337133
829478940499803671280409
74242.994
1043619788167717510099261899725045978481380573488435050312
0695973611922317948637214667847
81268.894
1043619770534172895725044536953886638298625036676044268668
879044316424949136406487142275449
83275.216
1043619744166512119652550314535917821915998125699255756873
40365522826690945840056967775008826440167
91301.116
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2020-07-02T03:20:23riccardo ubertiColab_noGPU125000005000002271.8450.2376.8180.4742.576%
2021-05-24T23:33:52ThaZ-170500000048000000091301.11614.636.81829.2512.373%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-05-21T20:00:45riccardo ubertiColab_noGPU1575000075000065P-12476.5050.540
2021-05-22T19:00:12riccardo ubertiColab_noGPU1515000004000000027P-12994.6442.054
2021-05-23T00:14:39riccardo ubertiColab_noGPU1515000004000000065--2.054


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-08T06:33:00Will EdgingtonManual testing??32.222102.84807e-127.2726.07510e-12


ECM factoring results:
Total ECM effort:9.614 GHz-days
Estimated T-Level:0.500
DigitsB1CurvesCompleteFacMiss
201100010 / 1000.10090.438%
255000010 / 2800.03696.485%

ECM Summary

B1B2factorcurvesGHz-days
5000014400000109.61


Lucas-Lehmer results:
Exponent "10436197" not found


PRP results:
dateuseridcompidcofactorsres64PRP
2020-06-29T19:32:15riccardo ubertiColab_noGPU12
62617183
5009374561
446F3A9C8182E6__no
2020-07-05T01:54:21fre_gamesgpu
62617183
5009374561
4240808955218606280481
446F3A9C8182E6FDno
2021-05-22T10:39:34tottenhoff2018pc
62617183
5009374561
4240808955218606280481
107236434531058304052209
446F3A9C8182E6FDno
2021-05-23T21:37:10riccardo ubertiTuareg8C
62617183
5009374561
4240808955218606280481
107236434531058304052209
30961714233434346754568163721
446F3A9C8182E6FDno


P-1 factor-bounds graph:
B1 = 5000000, B2 = 480000000 (stage 2)
B1 = 5000000 (stage 1)
B1 = 500000 (stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
267
2
220
230
240
250
260
270
280
290
2100
Last modified: 2021-05-24T23:33:52+00:00