is 2 5231 - 1
has 1575 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
Actualunknown1000000000100000000000.136946.6402%0.136946.6402%46.6402%
PrimeNet2400.000067.5000%500100000.00002.5738%0.000068.3365%0.8365%
GPU722440.000470.4545%500100000.00001.0333%0.000470.7599%0.3053%
Difference-44-0.0004-70.4545%+999999500+9999990000+0.1369+45.6069%+0.1365-24.1196%-24.1196%

Known prime factors (6 factors, 301.3 bits, 5.75904006% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
523110463513.3531
1
-112.086e-139.187e-111.870e-10
523141849515.3534
22
-448.352e-133.675e-107.479e-10
5231470791618.84545
32 × 5
-996.741e-128.269e-101.683e-9
52315711221283771239.05554590148
22 × 32 × 1516393
-915163931.469e-57.591e-61.418e-5
523112264584653589831650.123117229828461
3 × 144379 × 270653
-1443792706530.05001.390e-52.700e-5
52313367875716482815158825578648865722478853263673556750164.5263219150942919915082035536846554886712725352393
89 × 419821 × 3437191 × 125944867 × 224638619 × 885969184702579
2020-10-052246386198859691847025793.302e+134,434.88,282.9

57 Composite Factors:
exponentprime factorscomposite factordigitsbits*
5231437866087928.706
523149258862331032.198
5231197021325591134.198
52312061434129648171547.551
523159756508292085511652.408
5231239008899504490731754.408
52312688791579407362071857.900
5231128324349230510391292063.476
5231513260603168080795672065.476
52312500750115515486507992167.761
52315774056073648209655532168.968
523128132826295339229338412271.253
5231112523238806618695267432373.253
52315370245690947629365095212478.829
523160413948698581217625810392582.321
5231241638472626103925874274972684.321
52311177330647633651408583120092786.606
52317004575691018114963161605912789.178
52312528263339086925376422539011113097.674
5231732888754551225368595598826363331102.531
52312931344880934170930933500457275932104.531
523132976911941501093616218156079748133108.023
523130670661489214230450357215284477741736117.884
5231345037429643925942506490567062404370337121.376
52311380050787839879266745113613781378236938123.376
523114439471393168656767954123740994560492684742136.729
523135238083621559695006792029403082054296241697816423
7521
54177.879
523114094223085908933158169164087638162001753023147467
43383
55179.879
523115855655764386610314386529976781423515418068581374
323497
56183.371
523114746785614786516763392396384895808902434188119195
176016329
59193.232
523116589772626277710371942626314706403424181925156691
9546749111
60196.724
523166354333808381525504676189299832579269673075206193
4064025953
60198.724
523119234683473068792140531437736487993590024883235144
802375884759
62203.581
523169426539463709590135542696864414827689858938588240
16111903546239
64212.077
523141305596827572988069021008265853106826361323779367
925257899048361
65214.650
523120125249317871877216638043303687387693243035328932
0067258882233417
66216.934
523180495226866445588228910013783428604374895133850757
4834628401279391
66218.934
523190555158669695297206329361033989189902414048031570
56655345161574369
67222.426
523143218045960689617416616680948562105672421853070352
6601973397743001143
69228.003
523117285979216371019777004601749176866675763950388427
68304117817274859489
70230.003
523184222155870362018963908547421601348757452778548047
55494716962586268033
70232.287
523119446303236049914626002469502489250015889473983412
404900091550876923551
71233.494
523194747862516102189466982410449862889394895818455432
283784876425552622847
71235.779
523137896428351680784927876774299114136082261254960731
9663969539666725768281
72237.779
523118086320054088997992679914810163755602851821291411
884765984722146854833407
74243.356
523120346667075879025673186383840454502291625156628844
3992469657896825251114113
75246.847
523181380834412545287718357734620967262391495859673182
5732663931312648373685799
75248.847
523139651032984363605270037468949163120582869951065413
85644113293532951713524103
76251.132
523123590540374045744025292905619520536222309427007307
831033057961131337173440097
77253.705
523185148767045846134539717697733918046640222117976050
92640862713324239933874514937
79262.200
523124682782393364061973663967149704337049402353477746
1836098885447317180845703734911
81267.058
523198724052411344034171448280727131492036742721082882
5420902442615385329371294619353
81269.058
523111106214093237369875411672329519692768637277450197
461079884390578983359221036706727
83272.549
523110329497603798926295358633612479768011804390906902
000378902257084776701211855602290439
86282.411
523111620431805754260100643232758376454543825183396141
6035278830378627902887529707062484601
87285.902
523146478395358789069191610307531806962267470142401331
3548732081861339874600041165139818223
87287.902
523148630345063901003095181864770529624620454009994512
99660383772515199107940230710857918067249
91301.255
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2019-01-05T13:49:51takahashiManual testing10000000001000000000012-
skipped known factor: 10463
skipped known factor: 41849
skipped known factor: 470791
skipped known factor: 571122128377
skipped known factor: 1226458465358983
--0.137--39.513%


Trial Factoring results:
No TF results for M5231


ECM factoring results:

Old Calculation Method

Total ECM effort:19.396 GHz-days
Estimated T-Level:33.541
DigitsB1CurvesCompleteFacMiss
20110001109 / 10011.0900.001%
25500001109 / 2803.9611.891%
302500001109 / 6401.73317.655%
3510000001109 / 15660.70849.243%
4030000001109 / 45880.24278.526%
4511000000219 / 92010.02497.648%
5044000000201 / 165500.01298.793%

New Calculation Method

Total ECM effort:19.396 GHz-days
Estimated T-Level:33.541
DigitsB1CompleteFacMiss
2011000249.6670.000%
255000073.7280.000%
3025000017.8680.000%
3510000003.5452.887%
4030000000.62553.505%
45110000000.10190.350%
50440000000.01598.503%
551100000000.00299.790%


ECM Summary

B1B2factorcurvesGHz-days
30000003000000008903.530
110000001100000000180.262
44000000440000000020011.63
11000000090051415378213.971


Lucas-Lehmer results:
No L-L results for M5231


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T18:40:17Oliver KruseOliver-PC0702EC63CD793A__?
2017-09-21T19:21:17Oliver KruseManual testing0702EC63CD793A__?
2017-10-02T09:57:09kkmrkkblmbrbkManual testing
10463
41849
470791
571122128377
1226458465358983
0702EC63CD793A__no
2017-12-07T02:54:19ATHManual testing
10463
41849
470791
571122128377
1226458465358983
0702EC63CD793A__no
2020-04-17T12:32:57Oliver KruseIOS-1
10463
41849
470791
571122128377
1226458465358983
314A03647C6200__no
2020-10-05T20:44:41kotenok2000shodan1
10463
41849
470791
571122128377
1226458465358983
33678757164828151588255786488657224788532636735567
314A03647C6200F0no
2022-05-12T18:18:22Jorge CoveiroManual testing
10463
314A03647C6200F0no


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 10000000000 (P-1 stage 2)
B1 = 1000000000 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
109
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
TF factor-bounds graph:
210
220
230
240
250
260
270
280
290
2100
2110
2120
2130
2140
2150
2160
2170
Last modified: 2022-05-12T18:18:22+00:00