is 2 249541 - 1
has 75120 decimal digits
takes 0.001 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
Actual267119.074373.1343%30000000101202470268904,486.311423.4148%4,605.385779.4249%6.2905%
PrimeNet2400.000055.0000%2600700000.000114.2019%0.000161.3909%6.3909%
GPU722440.000059.0909%45001100000.000110.1573%0.000163.2462%4.1553%
Difference+23+119.0743+14.0434%+29995500+10120246916890+4,486.3113+13.2575%+4,605.3856+16.1787%+16.1787%

Known prime factors (6 factors, 359.1 bits, 0.14390875% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
24954151904529825.629104
23 × 13
-8131.832e-116.731e-81.325e-7
249541209594476731134.28741996
22 × 10499
2008-07-214104999.997e-94.685e-68.693e-6
24954116882951585534811650.5843382801140
22 × 3 × 5 × 809 × 69691
2009-01-14809696910.00063.712e-55.770e-5
2495411676102902498198825338892477.149335837177557635584
29 × 1726349 × 379953293
2016-06-231726349379953293244,8920.18170.3146
2495416850530036945900405542232479.1811372626148998741771
3 × 47 × 9734937226941431
2020-06-07479734937226941431840,1314,315,2818,059,744
24954160148061877558354448770042312892.28112051739368993142299015
36 × 5 × 3306375684223084307
2020-07-1672933063756842230843077.164e+91.466e+92.737e+9

57 Composite Factors:
exponentprime factorscomposite factordigitsbits*
24954110878902595672110171959.916
249541876301650176987526154492376.214
249541353857340322809233914997132684.871
249541869973317097019333775683508328131102.779
2495413555735349680295590305784377596732104.810
249541183667985826481212432087520690017734110.501
249541351301910794744192564405314469029734111.436
2495411435833258416823562818318488767307935113.467
24954131219568220175220576784636754106219936117.910
24954112606701555550504630729824610064410446339126.567
24954128297564155251462911185412801420141760939127.734
249541115657166949009629780060371758822590026340129.765
24954118234160216601212990540760012611871665511342137.066
24954174526249000660512704186733731458907147479142139.097
2495411015476816642569681143590970660878267677811144142.865
249541654344906484416278570350472638001883877881292746152.197
2495411468771739325610058966047683128282989212745116147153.363
2495416003130775962711850198407187706588129875199112747155.394
24954111482193278576116904087538881380218662313956324748156.330
249541593101315185353485043690906012269801325825627385749162.021
2495412424110338675192394548277860659969051746566543799950164.052
24954152707845878251940649438270700805705210152708896471
9
51168.494
24954110081434109261682033973852099145029213318596538843
59
52169.430
24954141204610455629413761659498957773942446565271559175
13
52171.461
24954121283833201564554776185389748881956279615968973628
5703
54177.152
24954159597783401145913855560188040722711958441595316012
45663
55181.959
24954130784644413976320339701320898150132258740554725584
2598353
57187.650
24954112582230537296634522341053011868332278548216382309
16797471
58189.681
24954124066042919358843419875353099564164707006742468515
70474231
58190.617
24954152327208908576214372117479152178404400854228028970
674361911
59195.059
24954121387058983279201198450545517792473711620780880360
8075116377
60197.090
24954111047273376417702787526030715971462172920591704548
043623648887
62202.781
24954121130129068186758925503916132227144783460747883369
113653646607
62203.717
24954186362587673111338601716836204886098327169840782356
626027797249
62205.748
24954119385331321795379121632530061762234632171094344250
6766631512807
63206.915
24954112491366226231057496933794413415680743956079676526
0498375266692199
66216.246
24954117020436397942422965121911031440570394301225561901
98204725290903679
67220.015
24954169565544342321282095780521693332854633754501143577
87552086435012753
67222.046
24954110967493969934426060648268544987516710003371088740
20777339996268783103
70229.346
24954144826094363940499946816309745847604323194384888132
12184001957116840721
70231.377
24954110061864917667365876847701839341096985703288993528
952301321588804802903
71232.544
24954140630583746293817311305371616410501494053845429146
83059161615151145848111
73241.201
24954188343773460965803312343621966682699780754939691328
272232911798743442862191
74245.644
24954136107668137168009138576208658667242599904948834873
7100373109376626053458337
75247.675
24954169063167180988091170017341547796724855209521937047
9550515307326139111098057
75248.611
24954135673894605429881900430619832924009298862951456445
461507438276035362883688967
77254.301
24954114580553864866441114407836185240513196678930462470
3914198006396622911591173769
78256.333
24954121089113123464360831553516889197557507026611476386
6911370062769299489056506994719
81266.831
24954135846911637774446267888090348705199913522434324576
417573628734053499950023321400153
83274.240
24954118516366970904788625674762196059793954491017308966
65693731213714187497821957614631543
85279.931
24954175679678091502227394957385110406558919190424987827
78430903934755699416748515037099801
85281.962
24954114475258386615708173141318166736142830435424764909
022139942144087726244178459263471361
86282.897
24954111659901078603185481250330220004980435852456603139
90647385402155701350915452497657669686417
91299.195
24954175133146871058823672835056988358296089047758733753
8522024269076123565385021920016167897693969
93308.527
24954160520167367149032030393672116382488717713647347891
676662944380367263283930280712794948311052082593
98324.824
24954124438508652933972602537961886016496524463829732201
41972368573074648386312783727177308285957543035764
1
101333.482
24954112684692810929623160336371163136379383324320597861
10823889217998417063321750860380026860704235852685
657656089
109359.111
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-08-10T13:41:33Oliver KruseOllaptop30000000300000000024-
skipped known factor: 51904529
skipped known factor: 20959447673
skipped known factor: 1688295158553481
skipped known factor: 167610290249819882533889
--1.561--12.566%
2022-04-18T13:48:30Oliver KruseThreadripper-PC3000000010120247026890-
skipped known factor: 51904529
skipped known factor: 20959447673
skipped known factor: 1688295158553481
skipped known factor: 167610290249819882533889
--4,486--23.415%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-21T09:14:00J FeitsmaManual testing??34.287118.25834e-100.0031.71652e-9


ECM factoring results:

Old Calculation Method

Total ECM effort:9.907 GHz-days
Estimated T-Level:27.117
DigitsB1CurvesCompleteFacMiss
2011000564 / 1005.6400.345%
2550000545 / 2801.94614.229%
30250000271 / 6400.42365.458%

New Calculation Method

Total ECM effort:9.907 GHz-days
Estimated T-Level:27.117
DigitsB1CompleteFacMiss
201100031.4260.000%
25500004.0901.673%
302500000.40566.718%
3510000000.03296.866%
4030000000.00299.794%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
110001100000190.025
5000050000002261.351
500005000000480.287
250000250000002306.875
25000025000000110.329
2500002500000020.060
2500003625000070.241
25000038500000210.740


Lucas-Lehmer results:
No L-L results for M249541


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T07:00:57Oliver KruseOllaptopEFA9EE02666402__?
2017-09-22T10:06:08Oliver KruseManual testingEFA9EE02666402__?
2017-10-12T17:57:52kkmrkkblmbrbkc4.xlargeEFA9EE02666402__no
2020-04-17T20:15:38Oliver KruseAddPrpType5
51904529
20959447673
1688295158553481
167610290249819882533889
D7AA636410D18C__no
2020-06-07T05:05:22CrypticCluecruncher
51904529
20959447673
1688295158553481
167610290249819882533889
685053003694590040554223
D7AA636410D18CF5no
2020-07-15T17:01:04ATHec2-PRPCF
51904529
20959447673
1688295158553481
167610290249819882533889
685053003694590040554223
6014806187755835444877004231
D7AA636410D18CF5no


P-1 factor-bounds graph:
B1 = 30000000, B2 = 10120247026890 (P-1 stage 2)
B1 = 30000000, B2 = 3000000000 (P-1 stage 2)
B1 = 30000000 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
TF factor-bounds graph:
267
2
220
230
240
250
260
270
280
290
2100
Last modified: 2022-05-23T05:25:23+00:00