is 2 2144621 - 1
has 645596 decimal digits
takes 0.141 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
Actual26713.855167.1642%500000150000000.12305.1662%13.978168.8605%1.6964%
PrimeNet2580.017962.0690%90001700000.00172.7324%0.019663.1054%1.0364%
GPU722620.286564.5161%100001500000.00171.4882%0.288165.0442%0.5281%
Difference+5+13.5686+2.6481%+490000+14850000+0.1213+3.6780%+13.6899+3.8164%+3.8164%

Known prime factors (5 factors, 243.2 bits, 0.01133846% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
214462147653478631032.1501111
11 × 101
-111013.309e-101.516e-62.134e-6
2144621674268842411135.97315720
23 × 3 × 5 × 131
2008-07-1481312.994e-91.402e-61.552e-6
214462117210969556791340.646401259
3 × 59 × 2267
2008-07-145922671.265e-71.709e-52.196e-5
21446211262652570932736207432166.77529437662200751
33 × 7 × 353 × 12917 × 34159
2016-03-1412917341597.86820.00130.0025
21446212272605994843274291212167.62352983860431360
29 × 5 × 20696820481
2018-01-095122069682048124.112107.50200.79

26 Composite Factors:
exponentprime factorscomposite factordigitsbits*
21446213213125587265977269832168.123
214462182016256997607283639772272.796
21446211160482051981054405546392476.619
21446216016978730605770402819275222093098.925
214462110829758120967386163540413184233199.773
2144621851367287368826456557719741106331102.748
21446211532347413397000985708279938216132103.596
214462121731474959125948920893492604949733107.421
214462139113752591826045553298975092815933108.269
214462155301006664577725279572249338645733108.769
21446212869511802106008927624032709326436785690341134.398
21446214057061283491144047575192104433819960836941134.898
21446217302168471804976217853845344983864167194341135.745
2144621103558037756308853038026961035603356117491143139.571
2144621186390637327368957445153923558640475717421743140.419
21446211465285646455175564428364392164132965527677744143.394
21446212637318468240168496331082789247239920024231944144.242
214462113674221934019148542712105938830835706093860084828
9
51166.548
214462119348224010878516397341820066135125422974398337656
23
52170.371
214462149387080268896130661665181426988486624842134805202
137
53175.044
214462169825958240197444012385250727846449725251715950477
551
53175.544
214462112567739926678720314751248710215414131535764392881
4297
54176.392
214462192201017943085226866683301132687538603608020222060
86805913649
61202.520
214462123534661741919364161753494833460687526329554980632
7924835983231
63207.194
214462133300169442918345549769089243778158808930074184096
81576104823017
64211.017
214462115868689129234883844908768957129453512620955432961
722957201590228054162671
74243.167
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-14T01:06:55alpertronManual testing50000015000000122166.7750.0480.2820.0955.166%


Trial Factoring results:
No TF results for M2144621


ECM factoring results:

Old Calculation Method

Total ECM effort:2.699 GHz-days
Estimated T-Level:1.250
DigitsB1CurvesCompleteFacMiss
201100025 / 1000.25077.782%
255000025 / 2800.08991.444%

New Calculation Method

Total ECM effort:2.699 GHz-days
Estimated T-Level:1.250
DigitsB1CompleteFacMiss
20110001.04935.044%
25500000.09690.806%
302500000.00699.394%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
10.00000e+0
500005000070.355
500005000000100.853
50000500000010.085
500007150000141.405


Lucas-Lehmer results:
No L-L results for M2144621


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-08T19:10:47Oliver KruseGTX-2
4765347863
67426884241
1721096955679
126265257093273620743
D2C34CE42B8DA30Bno
2017-10-17T23:45:33Oliver KruseGTX-3
4765347863
67426884241
1721096955679
126265257093273620743
341C11D7956E9D__no
2017-11-18T10:55:41kkmrkkblmbrbkc4.xlarge
4765347863
67426884241
1721096955679
126265257093273620743
341C11D7956E9D__no
2018-01-09T12:36:17ATHec2-8x
4765347863
67426884241
1721096955679
126265257093273620743
227260599484327429121
341C11D7956E9D__no


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
TF factor-bounds graph:
267
230
240
250
260
270
280
290
2100
Last modified: 2022-07-15T18:00:10+00:00