is 2 101333 - 1
has 30505 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267293.230474.6269%100000000067355326338301,185.506825.4999%1,478.737381.0970%6.4701%
PrimeNet2400.000057.5000%1100190000.00008.0838%0.000060.9356%3.4356%
GPU722440.000061.3636%1200180000.00004.1596%0.000062.9707%1.6071%
Difference+23+293.2304+13.2632%+999998800+6735532615830+1,185.5068+21.3403%+1,478.7372+18.1262%+4.8630%

Known prime factors (1 factor, 46.1 bits, 0.04551747% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
101333766958015130171446.124378434476
22 × 7 × 19 × 101 × 7043
-10170430.00011.544e-62.309e-6

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-11-02T22:05:59kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 76695801513017
--0.656--11.735%
2021-12-18T09:37:42Seth_TrManual testing10000000006735532633830-
skipped known factor: 76695801513017
--1,186--25.500%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2018-10-25T13:19:56J.R. AllenManual testing252257--0.184--
2022-04-13T17:48:16LordJuliusManual testing2125746.124140.0000.0000.000
2018-11-02T23:29:52J.R. AllenManual testing257258--0.189--
2022-04-13T17:48:16LordJuliusManual testing257258--0.189--
2018-11-02T23:29:52J.R. AllenManual testing258259--0.379--
2022-04-13T17:48:16LordJuliusManual testing258259--0.379--
2018-11-02T23:29:52J.R. AllenManual testing259260--0.758--
2022-04-13T17:48:16LordJuliusManual testing259260--0.758--
2022-04-13T17:48:16LordJuliusManual testing260261--1.516--
2022-04-13T17:48:16LordJuliusManual testing261262--3.031--


ECM factoring results:
Total ECM effort:12.598 GHz-days
Estimated T-Level:30.756
DigitsB1CompleteFacMiss
201100082.4900.000%
255000012.9390.000%
302500001.54521.330%
3510000000.15185.963%
4030000000.01398.746%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002810.652
250000250000005856.791
10000001000000001115.154


Lucas-Lehmer results:
No L-L results for M101333


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T20:56:34Oliver KruseDoppelherz
76695801513017
BC8055786DF908__no
2017-09-22T10:00:23Oliver KruseManual testing
76695801513017
BC8055786DF908__no
2017-10-13T09:55:37kkmrkkblmbrbkManual testing
76695801513017
BC8055786DF908__no
2020-04-17T15:29:11Oliver KruseAddPrpType5
76695801513017
8CBF9153E2A606__no
2022-04-15T06:47:35LordJuliusWhiteBox
76695801513017
8CBF9153E2A60682no


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 6735532633830 (P-1 stage 2)
B1 = 1000000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
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TF factor-bounds graph:
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2100
Last modified: 2022-04-15T06:47:35+00:00