is 2 4215829 - 1
has 1269091 decimal digits
takes 0.526 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
Actual26814.138466.1765%----14.138466.1765%0.0000%
PrimeNet2610.072962.2951%180003600000.00662.9159%0.079563.3945%1.0994%
GPU722651.730564.6154%220004500000.00821.8761%1.738765.2792%0.6638%
Difference+3+12.4078+1.5611%-22000-450000-0.0082-1.8761%+12.3996+0.8972%-0.6638%

Known prime factors (5 factors, 294.0 bits, 0.00697356% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
421582944170484524137911651.972523864755
32 × 5 × 11641439
-9116414390.00010.11470.2142
421582957311412386277111652.348679716995
5 × 135943399
2008-09-0751359433990.00031.33952.5017
421582911641396152314873511960.014138067698575
52 × 179 × 30853117
2016-01-04179308531170.04520.30400.5678
421582951306430047814637531962.154608497522644
22 × 3 × 11 × 23 × 200427379
2016-07-05232004273790.25881.97483.6884
42158292095725204734085798012167.50624855434183100
22 × 3 × 52 × 229 × 361796713
2022-09-2222936179671313.4023.56486.6581

26 Composite Factors:
exponentprime factorscomposite factordigitsbits*
42158292531472853864538814112637116240132104.320
4215829514206108585182732091838303445764134111.986
4215829667184855637337331540805269458356134112.362
42158292266229874415760696807428702381762335114.126
42158292940443970537983914399492360785938335114.502
421582992569197722552689739273772769643559136119.478
4215829120108971456830217051940870667346551137119.854
4215829597278477347641533065741647308448830337122.168
421582924397167334700686943401553469380559715139127.520
4215829107524178616131382636439556767768945315340129.660
42158292946987834066819422283154142050076043224199828975150164.334
421582912988083489474264707312061143718634614844485795095
3
51166.474
421582953052714649440410646419265872087495529810589392622
01
52171.826
421582926382079740284655578990988950845201743792360455386
673
53174.140
421582934230873124718355224889779343057325523188276351164
433
53174.516
421582910776347021901996341528157531731970290012446721027
09441
55179.492
421582913982361181760402563308911798355842862854948181312
51361
55179.868
421582947493950675344716329665264396515490403311039656656
33023
55181.632
421582961623625421648244873696635161230470237053575477421
22783
55182.008
421582912517315592226490784810153022087797347609435094060
26567703
58189.674
421582915119942516031004110323584464473530333360189994702
4667239732397895503
69226.488
421582961760766818985451992922279593806369784482159738870
26543217291803919551
70231.840
421582927219453930081852889472790675105362333581028611346
923138881842644500353
71233.980
421582955289589465019036890660943368433405111510692935078
02666044038485232392073
73241.646
421582971738503587526890260564534743001666199119207546318
46359119028579153417833
73242.022
421582931687244624976684427178679428048498691408162191413
242391428407606079585664558316434534903
89293.994
P-1 results:
No P-1 results for M4215829


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-07T23:39:00Will EdgingtonManual testing??52.348160.0001.1410.000
2016-01-04T12:46:41TJAOIManual testing260261*60.014190.0091.0680.018
2022-06-21T17:31:17LordJuliusManual testing261262--0.073--
2016-07-05T14:12:27TJAOIManual testing262263*62.154190.1131.0680.230
2022-09-25T03:12:59LordJuliusManual testing2126360.014190.0451.0680.092
2022-09-25T03:12:59LordJuliusManual testing2126351.972160.0001.1410.000
2022-09-25T03:12:59LordJuliusManual testing2126362.154190.2591.0680.526
2022-09-25T03:12:59LordJuliusManual testing2126352.348160.0001.1410.001
2022-09-25T22:56:45JayderManual testing263264--0.466--
2022-09-25T03:12:59LordJuliusManual testing263264--0.466--
2022-09-25T22:56:45JayderManual testing264265--0.886--
2022-09-25T04:32:52LordJuliusManual testing264265--0.886--
2022-09-25T22:56:45JayderManual testing265266--1.773--
2022-09-25T04:32:52LordJuliusManual testing265266--1.773--
2022-09-25T22:56:45JayderManual testing266267--3.545--
2022-09-25T04:32:52LordJuliusManual testing266267--3.545--
2022-09-22T09:50:36TJAOIManual testing267268*67.506216.3541.06812.91
2022-09-25T04:32:52LordJuliusManual testing26726867.506216.3541.06812.91


ECM factoring results:
Total ECM effort:1.092 GHz-days
Estimated T-Level:1.154
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
50000500000061.092


Lucas-Lehmer results:
No L-L results for M4215829


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-20T06:34:19kkmrkkblmbrbkManual testing
4417048452413791
5731141238627711
1164139615231487351
5130643004781463753
5F9546BC6DD3E8DDno
2018-01-21T21:35:27Oliver KruseGTX-7
4417048452413791
5731141238627711
1164139615231487351
5130643004781463753
5F9546BC6DD3E8__no
2022-09-28T11:28:50LordJuliusi79700_Para
4417048452413791
5731141238627711
1164139615231487351
5130643004781463753
209572520473408579801
0EA586F76B8D8074no


P-1 factor-bounds graph:
100
101
102
103
100
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
268
267
266
265
264
263
262
261
2
250
260
270
280
290
2100
Last modified: 2022-09-28T11:28:50+00:00