is 2 1812137 - 1
has 545508 decimal digits
takes 0.098 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
Actual26716.397268.6567%500000150000000.10155.0626%16.498670.2435%1.5868%
PrimeNet2570.010663.1579%80001500000.00122.8738%0.011864.2167%1.0588%
GPU722610.169565.5738%90001300000.00121.5565%0.170766.1096%0.5358%
Difference+6+16.2277+3.0829%+491000+14870000+0.1002+3.5061%+16.3279+4.1339%+4.1339%

Known prime factors (6 factors, 287.2 bits, 0.01585140% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
181213725369919824.5977
7
-171.235e-121.044e-71.601e-7
1812137217710139191134.3426007
6007
2008-07-15160071.642e-92.582e-54.806e-5
181213740792472365911341.8911125535
5 × 229 × 983
2008-07-152299832.623e-72.125e-53.666e-5
1812137211486033506580871754.2315835266139
3 × 1945088713
2014-11-11319450887130.00218.336215.570
1812137205744816112386333272064.1575676856002399
3 × 137 × 42863 × 322243
2015-07-16428633222432.94560.00460.0069
18121373014543587575910431532168.03183176481347048
23 × 10397060168381
2021-02-1781039706016838137.37644,55983,224

57 Composite Factors:
exponentprime factorscomposite factordigitsbits*
18121375523288596729025611858.938
18121371034901719732875061292166.488
1812137888093483668649471101292376.233
18121375365383539693242638849532478.828
18121374604265379145872498869129532788.573
18121375219729319441136171766905132788.754
181213776478726638770253999171146072892.627
1812137862703817759311647560364614172996.123
18121374479273255344858329926542785133098.499
1812137225308597451014599212325680955131100.830
1812137656296704045473414739369264660731102.372
18121378392839725693754016782426646825732106.049
1812137122970685992021518282596828161142334109.922
18121371168098397234350744806374077766080735113.170
181213743512155074149455730890904394026544936118.389
1812137218867259775444979943629978719591522337120.719
1812137637533866169127496774723717936542831137122.262
18121371136387996669653728967116664087825044738123.096
181213716650194221600632848591204355531521483339126.969
1812137187819368244124132708955204078101346322340130.465
1812137212925664020832758211694804653409616118340130.646
1812137620226716088579078057868149661600096003140132.188
18121373119756342992020565086500640105099098473741134.519
1812137182720630488014860630732370122638811866918343140.391
18121371103899849746610685786788042313197527962863144142.986
18121372677196516361278797477928521361480188239673744144.264
181213716174182544467604893847501971428938765037680945146.859
1812137947303733764994277803500197832850169473378463146152.731
18121374764962158984601472771444102089900829987698893747155.061
181213713879758674201957940368137670575903934617766080948156.604
181213715735101548803248035422792269594671845990870748948156.785
1812137177496838344343225989963409903829562690824584435949160.280
18121372600658261803589764655844991650147684460786652780150164.153
18121374635607595109867484997969140689366723319956050617750164.987
181213713502964468900116345330034973749470829895226367148
9
51166.530
181213767920258767167817828432450874730522095745274355430
3
51168.860
181213725300581176642469245433371326917166034079859791694
321
53174.079
181213724033018994015469863338297935503384338675884265191
4889
54177.327
181213735212835330405106258854648288335936617303402143338
04471
55181.200
181213745030804115520817515640665222239537952716417503474
436921
56184.877
181213713116928806038585525865126583533485433697835692763
3920697
57186.419
181213765978489448637866238547850314719923092807716057312
2618119
57188.750
181213734256911483587397077159901555119120124730467142123
18539391
58191.126
181213738642861381731892879408559513169758607456251213413
696632921
59194.622
181213756618967216288298810488335557921804016801406227364
9771462119
60198.495
181213764187369510434413671663575046081102199415728244664
1796529999
60198.676
181213755081930495547259562885935434540912108798665588254
5503084253999
63208.421
181213733277542133796562566577066634899125924059396200071
61429735313543
64211.016
181213798036626318276620206727192275579620912071788932795
7197067778503399
66219.219
181213728556883961079809673468160536680442757961933250732
68163230929181543
67220.761
181213714364186121408896214698854235492959762401263150743
450536362470598361
68223.092
181213753507195584593785040103728170455383379726447400202
6331967312090623927
69228.311
181213713974241150356638357823915882135327423863413332821
052927061774130056081
71233.018
181213772448583298499392395130368189457936165363085165449
482366447451630482205017
74245.358
181213713574732178983019743708433352824712694576062127009
013877877818386849687451913
77252.907
181213711649058998388466360689922392027765561285057487622
328907464866177990504111439913
80262.653
181213729553568321533652210492811520203065804079144437132
1986973742150281458672076397566177047
87287.249
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2015-07-16T10:53:00alpertronManual testing50000015000000122064.1570.0390.1970.0795.063%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-15T07:46:00J FeitsmaManual testing??34.342113.79164e-100.2118.12078e-10
2008-07-15T07:46:00J FeitsmaManual testing??41.891131.00600e-70.2112.15461e-7
2014-11-11T12:37:00TJAOIManual testing254255*54.231170.0010.2080.002


ECM factoring results:

Old Calculation Method

Total ECM effort:19.593 GHz-days
Estimated T-Level:24.607
DigitsB1CurvesCompleteFacMiss
2011000258 / 1002.5807.480%
2550000258 / 2800.92139.729%

New Calculation Method

Total ECM effort:19.593 GHz-days
Estimated T-Level:24.607
DigitsB1CompleteFacMiss
20110008.8080.015%
25500000.79845.029%
302500000.04995.184%
3510000000.00299.773%


ECM Summary

B1B2factorcurvesGHz-days
500005000000332.277
50000500000070.483
50000650000021816.83


Lucas-Lehmer results:
No L-L results for M1812137


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-03T21:18:58Oliver KruseGTX-0
25369919
21771013919
4079247236591
21148603350658087
20574481611238633327
53F71045A098B78Bno
2017-10-05T21:07:19Oliver KruseManual testing
25369919
21771013919
4079247236591
21148603350658087
20574481611238633327
53F71045A098B7__no
2017-11-11T01:47:17kkmrkkblmbrbkc4.xlarge
25369919
21771013919
4079247236591
21148603350658087
20574481611238633327
53F71045A098B7__no
2021-02-19T14:19:41Cork3tits
25369919
21771013919
4079247236591
21148603350658087
20574481611238633327
301454358757591043153
01B347225EF246C9no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
TF factor-bounds graph:
267
255
2
220
230
240
250
260
270
280
290
2100
Last modified: 2021-02-19T17:12:15+00:00