is 2 30133 - 1
has 9071 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
Actual267986.092277.6119%20000000050000000000.368612.3280%986.460980.3719%2.7600%
PrimeNet2400.000062.5000%500100000.00004.1081%0.000064.0405%1.5405%
GPU722440.000165.9091%500100000.00001.7609%0.000166.5094%0.6003%
Difference+23+986.0922+11.7028%+199999500+4999990000+0.3686+10.5671%+986.4608+13.8626%+13.8626%

Known prime factors (5 factors, 237.6 bits, 0.78837840% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
30133180799617.4643
3
-135.798e-138.857e-101.626e-9
3013385276391826.3461415
5 × 283
2008-08-2652833.876e-101.609e-82.289e-8
301331217657655531236.8252020472
23 × 252559
2008-08-2682525594.046e-71.100e-52.053e-5
3013334539445015611341.65157311660
22 × 5 × 7 × 409369
2008-08-2674093691.090e-51.782e-53.327e-5
301335028532075562906628726536620390627335115.276834389552245529258408810377392
24 × 3 × 61 × 137 × 157 × 331 × 43487 × 920428639250693
2017-09-18434879204286392506935.898e+1240,05374,808

26 Composite Factors:
exponentprime factorscomposite factordigitsbits*
30133154178862164091443.810
30133220151286462168471754.289
301336244697119377272391859.115
30133103837450337119592232063.171
301332945399218074159463512167.997
301334205721964101501685282332478.477
3013318773707183500885155591772580.635
30133532525233228589956843144492685.461
30133760390325387587403197359981672995.941
301333586487906480076214012949184710332104.822
30133648433427003691299417327199646437529737122.286
30133909153570729697955567129094430005025212740132.740
30133428815067431743970767775968916249706370074343141.621
30133612303057788733369056745073068154083090401396946152.101
3013317368270713313624324257260411488918678814619215348156.927
3013377529335376591878170843127404089030662003063365748159.085
3013311070378054514520439209045246564919006866148215812
31
52169.565
3013331401659766963899642013884251367850082110043395070
247
53174.391
3013352214994966487622174430294038283477237863557868990
5879
54178.447
3013314811034443423815335024729234389499214217988847200
359823
56183.273
3013321148607797383828552282276221234279795020234313191
886305609
59193.752
3013394404188749459956015148227318276144011284933991556
293017321
59195.911
3013326778202163365823887571360208483870684313981655849
77855638577
61200.737
3013338236471411591988184240832585229365526598633435907
79852167801591
64211.216
3013318034769476353521407013873294119769464035453542033
67754624658577119
67220.098
3013332606682865552403168667012777035601993281459649461
4686668383646084538081
72237.562
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-10-06T09:36:58kkmrkkblmbrbkManual testing200000000500000000012-
skipped known factor: 180799
skipped known factor: 85276391
skipped known factor: 121765765553
skipped known factor: 3453944501561
--0.369--12.328%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-08-26T19:59:00ANONYMOUSManual testing??36.825121.00744e-73.82626e-52.32236e-7
2008-08-26T19:59:00ANONYMOUSManual testing??41.651131.17841e-63.40093e-52.41453e-6
2008-08-26T19:59:00ANONYMOUSManual testing??26.34689.08690e-113.88696e-52.12796e-10


ECM factoring results:

Old Calculation Method

Total ECM effort:23.489 GHz-days
Estimated T-Level:31.994
DigitsB1CurvesCompleteFacMiss
20110001499 / 10014.9900.000%
25500001499 / 2805.3540.469%
302500001214 / 6401.89714.981%
351000000630 / 15800.39967.108%
403000000619 / 47000.13287.659%

New Calculation Method

Total ECM effort:23.489 GHz-days
Estimated T-Level:31.994
DigitsB1CompleteFacMiss
2011000183.2320.000%
255000037.6580.000%
302500006.5910.137%
3510000000.96738.010%
4030000000.12188.643%
45110000000.01398.703%
50440000000.00199.875%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002850.164
250000250000005841.678
1000000100000000110.126
300000030000000042414.62
3000000300000000762.620
3000000339000000913.270
300000034027283170.252
300000034027283270.252
300000034540701470.253
300000034800000070.254


Lucas-Lehmer results:
No L-L results for M30133


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T19:40:13Oliver KrusePRP
180799
85276391
121765765553
3453944501561
50285320755629066287265366203906273
133B9D868908A58Fno
2017-09-21T20:27:21Oliver KruseManual testing
180799
85276391
121765765553
3453944501561
50285320755629066287265366203906273
133B9D868908A58Fno
2017-10-02T10:34:10kkmrkkblmbrbkManual testing
180799
85276391
121765765553
3453944501561
50285320755629066287265366203906273
133B9D868908A5__no
2017-12-07T03:12:28ATHxps
180799
85276391
121765765553
3453944501561
50285320755629066287265366203906273
133B9D868908A5__no
2020-04-17T13:47:23Oliver KruseManual testing
180799
85276391
121765765553
3453944501561
50285320755629066287265366203906273
888C2622727A44__no


P-1 factor-bounds graph:
B1 = 200000000, B2 = 5000000000 (P-1 stage 2)
B1 = 200000000 (P-1 stage 1)
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109
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TF factor-bounds graph:
267
2
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2120
Last modified: 2022-05-15T05:22:49+00:00