is 2 4001 - 1
has 1205 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
Actualunknown1000000000325381051771776012,774.076378.0277%12,774.076378.0277%78.0277%
PrimeNet2400.000070.0000%500100000.00002.3869%0.000070.7161%0.7161%
GPU722440.000672.7273%500100000.00000.9495%0.000672.9862%0.2590%
Difference-44-0.0006-72.7273%+999999500+3253810517707760+12,774.0763+77.0782%+12,774.0757+5.0415%+5.0415%

Known prime factors (5 factors, 401.1 bits, 10.02435905% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
400124007514.5513
3
-135.458e-137.991e-111.466e-10
40014167753277911238.60052083895
5 × 53 × 196543
-531965431.437e-57.752e-71.441e-6
400126505848725991341.269331240299
3 × 13 × 8493341
-1384933417.574e-53.334e-56.228e-5
4001182639060157532038898576789512993.8832282417647557261170939475
3 × 52 × 487 × 742211 × 84193294803349
-742211841932948033499.392e+11330.53617.34
400111228234992112410011165597181282604695853195021678
012695442609737
65212.77114031785793692089491584100451490383273997994278527
88389832868

22 × 3 × 7 × 222863 × 2470896357577370154259 × 30334801584901749388174333809481
2021-04-302470896357577370154259303348015849017493881743338094814.288e+131.191e+202.224e+20

26 Composite Factors:
exponentprime factorscomposite factordigitsbits*
4001100055252942785371753.152
4001636325910364841931755.821
400111046983791153141990988092579.870
4001265204939874213479777651076632994.421
400143846159172018716578381329857665733108.434
4001761194541645955836095389040514146602724140132.483
40014841003299992531561942448719057817896364941135.152
400118273997361294461757142004695623117491597468745147.035
4001116217966222920705207552366398421034238032154346149.704
400120176107371917000495804772855625301224386672648469
359
53173.753
400148436780967761143090278518194499660649385085027180
3901513
57188.304
400126955623745564262713805249153105149093334765288542
4050779490731956159
69227.322
400146796513193520259819225317352113232219204912135745
03092000553124966663300967
76251.371
400129761389816079906059332216572241706275172920070141
516323549254317662221896463
77254.040
400111234438922368408774801421936721823658864523256428
3095729657278871074685866314769
81265.922
400171448168531463030476638852324980664254807629212388
7382379446948404116961068387241
81268.591
400112403812996112432050526671656462639564516335407439
873177505017680777294571715744488503233
89292.640
400120507142861873247303136873987548333563186831765609
0421355031003887081834473609567192932545887
93306.654
400129777833859767115623699380645669858802534366412640
9035372362959462420510783179877935497114631
93307.192
400149231497868499104800640693381907284385142627019697
62745470229310317173600207944879600731629109209
97321.205
400185468711883140884810584773986995179732529988196864
79816777835303200632671318023130578810155060657384
5617
104345.254
400154355922649907793457471471471344916829934324191881
28917837490823857358780101196208857466421930946164
50313
105347.923
400120518473661785632216477086691057932798388474266421
33209613854921239375885403317812958054953925412018
311727319
109359.805
400113049226350563363975335176156125774183362333208744
94109305246422083436122338894173860411963912962245
7122664191
110362.474
400122654207479797561954163197740500882775417510566073
38547827686344982105348604167938097777065598045998
87756621439548583
117386.523
400154385955896750006983359588815620469278944817615972
37651769926608398540310394025968991333401381229029
505373210899242832081
121401.075
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-08-27T05:24:39Seth_TrManual testing100000000100000000-
skipped known factor: 24007
skipped known factor: 416775327791
skipped known factor: 2650584872599
--0.007--25.124%
2021-09-09T12:30:12Jinyuan WangManual testing130000000130000000-
skipped known factor: 24007
skipped known factor: 416775327791
skipped known factor: 2650584872599
--0.009--25.830%
2022-02-13T23:34:28LordJuliusWhiteBox_v30810000000003253810517717760-
skipped known factor: 24007
skipped known factor: 416775327791
skipped known factor: 2650584872599
skipped known factor: 18263906015753203889857678951
--12,774--68.639%


Trial Factoring results:
No TF results for M4001


ECM factoring results:

Old Calculation Method

Total ECM effort:142.925 GHz-days
Estimated T-Level:43.307
DigitsB1CurvesCompleteFacMiss
20110006519 / 10065.1900.000%
25500006519 / 28023.2820.000%
302500006519 / 64010.1860.004%
3510000006416 / 15804.0611.721%
4030000006416 / 47001.36525.532%
45110000006416 / 97000.66151.609%
5044000000201 / 171000.01298.831%
55110000000201 / 465000.00499.569%

New Calculation Method

Total ECM effort:142.925 GHz-days
Estimated T-Level:43.307
DigitsB1CompleteFacMiss
20110001,631.2170.000%
2550000549.0130.000%
30250000132.4370.000%
35100000027.1400.000%
4030000004.7320.881%
45110000000.72848.304%
50440000000.10190.357%
551100000000.01398.701%
602600000000.00299.839%


ECM Summary

B1B2factorcurvesGHz-days
11000000110000001030.796
1100000011000000006,21570.89
1100000001100000000020022.81
85000000014182957708936148.43


Lucas-Lehmer results:
No L-L results for M4001


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T18:32:30Oliver KruseOliver-PCE8AE2612AA131C__?
2017-09-21T19:21:09Oliver KruseManual testingE8AE2612AA131C__?
2017-10-02T09:55:57kkmrkkblmbrbkManual testing
24007
416775327791
2650584872599
18263906015753203889857678951
E8AE2612AA131C__no
2017-12-07T02:44:26ATHManual testing
24007
416775327791
2650584872599
18263906015753203889857678951
E8AE2612AA131C__no
2020-04-17T12:32:11Oliver KruseIOS-1
24007
416775327791
2650584872599
18263906015753203889857678951
36D02A5B658B57__no
2021-04-30T17:11:04mikrNitron
24007
416775327791
2650584872599
18263906015753203889857678951
11228234992112410011165597181282604695853195021678
012695442609737
36D02A5B658B5784no
2021-05-02T10:36:56daveward2005Davy
24007
416775327791
2650584872599
18263906015753203889857678951
11228234992112410011165597181282604695853195021678
012695442609737
36D02A5B658B5784no


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 3253810517717760 (P-1 stage 2)
B1 = 1000000000 (P-1 stage 1)
B1 = 130000000 (P-1 stage 1)
B1 = 100000000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-02-13T23:34:28+00:00