is 2 8467 - 1
has 2549 decimal digits
takes 0.000 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
Actualunknown1000000001000000000.014732.6483%0.014732.6483%32.6483%
PrimeNet2400.000065.0000%500100000.00002.9397%0.000066.0289%1.0289%
GPU722440.000368.1818%500100000.00001.2006%0.000368.5638%0.3820%
Difference-44-0.0003-68.1818%+99999500+99990000+0.0147+31.4477%+0.0145-35.9155%-35.9155%

Known prime factors (4 factors, 206.5 bits, 2.43844822% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
8467203209617.63312
22 × 3
-442.068e-125.897e-101.200e-9
84676655063722.666393
3 × 131
-31317.161e-111.470e-92.028e-9
846759105925591032.461349037
13 × 26849
-13268491.047e-72.175e-74.027e-7
84671773999312077028270383742020867618522066341133.7041047596145079147437335385627062488793
23 × 6781 × 10383407 × 646892973359135221821173
2018-02-15103834076468929733591352218211732.076e+135.196e+129.704e+12

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
846713523686971671340.299
846712010856033218311650.093
8467393353658474762171755.127
846779933003584997945803532272.759
8467360492626207860837796409832318487892250570756746151.337
846711806077183829283992184837324621315924318116676948156.370
846710485387133633602129762785663115768760575650084661
7
51166.165
846723991011384487649707678886078989729876647601717961
721
53174.003
846721307250340385506551869659118160922540678172780540
193953
56183.797
846769780911953721041090505513643532217395062867579378
9471871
57188.831
846714180109337203699038960534921988538364633330257938
0164789434039
63206.463
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-12-16T20:44:37Lisander ViaeneDesktop100000000100000000-
skipped known factor: 203209
skipped known factor: 6655063
skipped known factor: 5910592559
--0.015--26.269%


Trial Factoring results:
No TF results for M8467


ECM factoring results:

Old Calculation Method

Total ECM effort:1,955.567 GHz-days
Estimated T-Level:43.913
DigitsB1CurvesCompleteFacMiss
201100011119 / 100111.1900.000%
255000011119 / 28039.7110.000%
3025000011119 / 64017.3730.000%
35100000011119 / 15667.1000.082%
40300000011119 / 45882.4238.859%
45110000007200 / 92010.78345.723%

New Calculation Method

Total ECM effort:1,955.567 GHz-days
Estimated T-Level:43.913
DigitsB1CompleteFacMiss
20110004,383.8000.000%
25500001,234.8350.000%
30250000329.2530.000%
35100000067.5920.000%
40300000011.6540.001%
45110000001.74217.515%
50440000000.22979.550%
551100000000.02797.336%
602600000000.00399.720%


ECM Summary

B1B2factorcurvesGHz-days
30000003000000001,67310.65
30000003000000002,24614.29
11000000365788846627,2001,931


Lucas-Lehmer results:
No L-L results for M8467


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T18:55:35Oliver KruseOliver-PC
203209
6655063
5910592559
594D5CAAF54F56__no
2017-09-21T19:21:39Oliver KruseManual testing
203209
6655063
5910592559
594D5CAAF54F56__no
2017-10-12T15:09:13kkmrkkblmbrbkManual testing
203209
6655063
5910592559
594D5CAAF54F56__no
2018-02-17T12:32:12AdolfNorManual testing
203209
6655063
5910592559
17739993120770282703837420208676185220663
DFEEE59319691E__no
2018-02-18T01:00:24Oliver KruseGTX-0
203209
6655063
5910592559
17739993120770282703837420208676185220663
DFEEE59319691E__no


P-1 factor-bounds graph:
B1 = 100000000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-12-16T20:44:37+00:00