is 2 101141 - 1
has 30447 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-daysProbability
Actual267293.787174.6269%100000000065442476899801,151.925725.4548%1,445.712881.0856%
Target2440.000061.3636%1200180000.00004.1578%0.000062.9701%
Difference+23+293.7870+13.2632%+999998800+6544247671980+1,151.9257+21.2970%+1,445.7127+18.1155%

Known prime factors (2 factors, 92.0 bits, 0.09094049% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
10114133530191498491341.60916575964
22 × 73 × 56767
-73567675.419e-61.019e-51.861e-5
10114114545781439801191650.3707190843199
3 × 89 × 26931997
2009-01-2589269319970.00230.00470.0088

1 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-11-02kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 3353019149849
skipped known factor: 1454578143980119
--0.656--11.733%
2021-12-17Seth_TrManual testing10000000006544247689980-
skipped known factor: 3353019149849
skipped known factor: 1454578143980119
--1,152--25.455%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2009-01-25George WoltmanManual testing??50.370160.0010.0000.002
2018-10-25J.R. AllenManual testing252257--0.184--
2022-04-13LordJuliusManual testing2125750.370160.0020.0000.005
2022-04-13LordJuliusManual testing2125741.609135.41925e-60.0001.14219e-5
2018-11-02J.R. AllenManual testing257258--0.190--
2022-04-13LordJuliusManual testing257258--0.190--
2018-11-02J.R. AllenManual testing258259--0.380--
2022-04-13LordJuliusManual testing258259--0.380--
2018-11-02J.R. AllenManual testing259260--0.759--
2022-04-13LordJuliusManual testing259260--0.759--
2022-04-13LordJuliusManual testing260261--1.519--
2022-04-13LordJuliusManual testing261262--3.037--
2022-12-08LordJuliusManual testing262263--9.71--
2022-12-08LordJuliusManual testing263264--19.41--
2022-12-08LordJuliusManual testing264265--36.94--


ECM factoring results:
Total ECM effort:12.597 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 M101141


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21Oliver KruseDoppelherz
3353019149849
1454578143980119
8276CCAFB15D65__no
2017-09-21Oliver KruseManual testing
3353019149849
1454578143980119
8276CCAFB15D65__no
2017-09-22Oliver KruseManual testing
3353019149849
1454578143980119
8276CCAFB15D65__no
2017-11-06kkmrkkblmbrbkc4.xlarge
3353019149849
1454578143980119
8276CCAFB15D65__no
2020-04-17Oliver KruseAddPrpType5
3353019149849
1454578143980119
B8991D408E33FB__no
2022-04-15LordJuliusWhiteBox
3353019149849
1454578143980119
B8991D408E33FB35no


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 6544247689980 (P-1 stage 2)
B1 = 1000000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (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
TF factor-bounds graph:
265
264
263
262
261
260
259
258
257
2
this exponent TF target: 44
TF double-checked to: 67.8
ECM T-Level=30.76 ~= 86-bit
250
260
270
280
290
Last modified: 2023-04-26T21:34:10+00:00