is 2 101411 - 1
has 30528 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
Actual267293.004974.6269%100000000067366001102401,185.694225.5010%1,478.699181.0973%
Target2440.000061.3636%1300180000.00004.2574%0.000063.0085%
Difference+23+293.0049+13.2632%+999998700+6736600092240+1,185.6942+21.2436%+1,478.6991+18.0887%

Known prime factors (3 factors, 80.7 bits, 0.07959718% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
101411202823617.6301
1
-111.722e-133.222e-96.558e-9
10141118862447824.16993
3 × 31
2008-07-263312.248e-111.458e-81.967e-8
1014115206116224811238.9212566840
23 × 5 × 64171
2008-07-268641715.752e-71.129e-52.104e-5

4 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-11-02kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 202823
skipped known factor: 18862447
skipped known factor: 520611622481
--0.656--11.736%
2021-12-18Seth_TrManual testing10000000006736600110240-
skipped known factor: 202823
skipped known factor: 18862447
skipped known factor: 520611622481
--1,186--25.501%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-26J FeitsmaManual testing??24.16984.43649e-130.0009.46811e-13
2008-07-26J FeitsmaManual testing??38.921122.14154e-70.0004.56350e-7
2022-04-13LordJuliusManual testing2125756.551180.1860.0000.378
2022-04-13LordJuliusManual testing2125724.16982.24830e-110.0004.79819e-11
2022-04-13LordJuliusManual testing2125717.63061.72217e-130.0003.67536e-13
2022-04-13LordJuliusManual testing2125741.799135.20223e-60.0001.09689e-5
2022-04-13LordJuliusManual testing2125738.921125.75247e-70.0001.22582e-6
2022-04-13LordJuliusManual testing257258--0.189--
2022-04-13LordJuliusManual testing258259--0.379--
2022-04-13LordJuliusManual testing259260--0.757--
2022-04-13LordJuliusManual testing260261--1.515--
2022-04-13LordJuliusManual testing261262--3.029--


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 M101411


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21Oliver KruseOliver-PC
202823
18862447
520611622481
4D74080C20F98C__no
2017-09-21Oliver KruseManual testing
202823
18862447
520611622481
4D74080C20F98C__no
2017-10-13kkmrkkblmbrbkManual testing
202823
18862447
520611622481
4D74080C20F98C__no
2020-04-17Oliver KruseAddPrpType5
202823
18862447
520611622481
FBBB32C369853F__no
2022-04-15LordJuliusWhiteBox
202823
18862447
520611622481
FBBB32C369853FEEno
2022-05-12Jorge CoveiroManual testing
202823
FBBB32C369853FEEno
2022-11-05LordJuliusWhiteBox
202823
18862447
520611622481
FBBB32C369853FEEno


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 6736600110240 (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
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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:
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
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290
Last modified: 2023-04-26T21:34:10+00:00