is 2 11047 - 1
has 3326 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2672,689.772679.1045%5000000000334720688309007034,670.523832.9130%37,360.296485.9818%6.8773%
PrimeNet2400.000065.0000%500100000.00003.1592%0.000066.1057%1.1057%
GPU722440.000268.1818%500100000.00001.3030%0.000268.5964%0.4146%
Difference+23+2,689.7724+10.9227%+4999999500+3347206883080070+34,670.5238+31.6100%+37,360.2962+17.3854%+6.4628%

Known prime factors (5 factors, 212.5 bits, 1.92332602% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1104713433153823.679608
25 × 19
-32321.145e-106.084e-91.238e-8
11047355116863928.40416073
16073
2008-08-261160734.788e-91.667e-73.110e-7
1104729113705691031.439131772
22 × 3 × 79 × 139
2008-08-26791393.942e-81.564e-83.057e-8
110471349723564711236.9746109005
3 × 5 × 7 × 73 × 797
2008-08-26737971.074e-62.138e-82.824e-8
1104748629424122535276012989512872891.974220102399395923219032269
3 × 7390907 × 9926720288228189
2008-08-29739090799267202882281895.020e+10102,819192,037

26 Composite Factors:
exponentprime factorscomposite factordigitsbits*
1104747703391535590391652.083
11047391088862930740571755.118
1104710338767834938050471959.843
1104718131043152454830631960.653
11047479309598216992704732065.378
110473929545462582461019992168.413
11047138882250158201577485231912683.522
110476438639167217390202521913692789.057
1104752786185419325973998061728472892.092
110471395447857688167436238629091373096.817
110476532464945399071105797181137781791135115.653
11047172691285438912548245719830622925268137120.378
11047187452645758473794606112490946241896137120.496
110471415782741777678522485093294753647230338123.413
1104765636279676462776582975961574742822817739128.948
110472319788459067584414204636079891840433953319344144.057
1104719018426185059047577356198447699840552646135945147.092
11047502768325949628240327381295095249562232774548946151.817
11047881702187244714976643933287155641274562055208146152.627
1104723308549737696116156416282678831211270786444875148157.351
11047191091532908706569767698600963181148095433432271349160.387
1104767537638460352264454384830263526369426558821298796
817
53175.496
1104731310731483458179583491185691598952217579874433328
41903
55181.031
1104725669617985671903837946697646243597290816158970155
104089
56184.066
1104767859825712401142443395765903533667812388745093507
0209319
57188.791
1104791157142134801854381692916293435100037499330831907
91187524152807
64212.470
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-09-07T22:11:40kkmrkkblmbrbkManual testing1000000001000000000012-
skipped known factor: 13433153
skipped known factor: 355116863
skipped known factor: 2911370569
skipped known factor: 134972356471
--0.122--12.126%
2021-08-27T06:40:34Seth_TrManual testing400000000400000000-
skipped known factor: 13433153
skipped known factor: 355116863
skipped known factor: 2911370569
skipped known factor: 134972356471
--0.076--7.686%
2022-06-11T09:05:54LordJuliusWhiteBox50000000003347206883090070-
skipped known factor: 13433153
skipped known factor: 355116863
skipped known factor: 2911370569
skipped known factor: 134972356471
--34,671--32.913%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-08-26T19:58:00ANONYMOUSManual testing??36.974122.44844e-71.46921e-52.48364e-6
2008-08-26T19:58:00ANONYMOUSManual testing??31.439101.35202e-81.62977e-51.52134e-7
2008-08-26T19:58:00ANONYMOUSManual testing??28.40491.55060e-91.63430e-51.74963e-8


ECM factoring results:
Total ECM effort:46.144 GHz-days
Estimated T-Level:40.836
DigitsB1CompleteFacMiss
2011000433.5730.000%
2550000147.0990.000%
3025000034.9770.000%
3510000006.8520.106%
4030000001.15331.554%
45110000000.16784.599%
50440000000.02197.880%
551100000000.00299.755%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000003600.049
25000025000000300.021
10000001000000001920.525
3000000300000000500.410
1100000011000000001,50045.14


Lucas-Lehmer results:
No L-L results for M11047


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T19:05:32Oliver KrusePRP
13433153
355116863
2911370569
134972356471
4862942412253527601298951287
815F529120ACDA1Bno
2017-09-21T19:21:54Oliver KruseManual testing
13433153
355116863
2911370569
134972356471
4862942412253527601298951287
815F529120ACDA1Bno
2017-10-02T10:03:55kkmrkkblmbrbkManual testing
13433153
355116863
2911370569
134972356471
4862942412253527601298951287
815F529120ACDA__no
2017-12-07T02:54:35ATHManual testing
13433153
355116863
2911370569
134972356471
4862942412253527601298951287
815F529120ACDA__no
2020-04-17T13:47:28Oliver KruseManual testing
13433153
355116863
2911370569
134972356471
4862942412253527601298951287
E6ED2B4756A503__no


P-1 factor-bounds graph:
B1 = 5000000000, B2 = 3347206883090070 (P-1 stage 2)
B1 = 5000000000 (P-1 stage 1)
B1 = 100000000, B2 = 10000000000 (P-1 stage 2)
B1 = 400000000 (P-1 stage 1)
B1 = 100000000 (P-1 stage 1)
100
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109
1010
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1016
TF factor-bounds graph:
267
2
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2100
Last modified: 2022-06-11T09:05:54+00:00