is 2 101281 - 1
has 30489 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
Actual267293.381074.6269%100000000067355326338301,185.506825.4993%1,478.887881.0968%
Target2440.000061.3636%1200180000.00004.1591%0.000062.9706%
Difference+23+293.3809+13.2632%+999998800+6735532615830+1,185.5068+21.3402%+1,478.8878+18.1263%

Known prime factors (2 factors, 107.0 bits, 0.10567783% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
101281529902193928.9812616
23 × 3 × 109
-81095.530e-104.351e-85.246e-8
1012813129782362748524623325912478.0501545098469973896695
5 × 11 × 13 × 149 × 646619 × 22429283
2010-04-2064661922429283726,7460.00590.0074

1 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-11-02kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 529902193
skipped known factor: 312978236274852462332591
--0.656--11.734%
2021-12-18Seth_TrManual testing10000000006735532633830-
skipped known factor: 529902193
skipped known factor: 312978236274852462332591
--1,186--25.499%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2018-10-25J.R. AllenManual testing252257--0.184--
2022-04-13LordJuliusManual testing2125728.98195.53009e-100.0001.17962e-9
2018-11-02J.R. AllenManual testing257258--0.190--
2022-04-13LordJuliusManual testing257258--0.190--
2018-11-02J.R. AllenManual testing258259--0.379--
2022-04-13LordJuliusManual testing258259--0.379--
2018-11-02J.R. AllenManual testing259260--0.758--
2022-04-13LordJuliusManual testing259260--0.758--
2022-04-13LordJuliusManual testing260261--1.516--
2022-04-13LordJuliusManual testing261262--3.033--
2022-12-08LordJuliusManual testing262263--9.69--
2022-12-08LordJuliusManual testing263264--19.38--


ECM factoring results:
Total ECM effort:12.574 GHz-days
Estimated T-Level:30.756
DigitsB1CompleteFacMiss
201100082.1050.000%
255000012.9040.000%
302500001.54321.378%
3510000000.15185.972%
4030000000.01398.746%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002710.629
250000250000005856.791
10000001000000001115.154


Lucas-Lehmer results:
No L-L results for M101281


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21Oliver KruseOliver-PC
529902193
312978236274852462332591
43300635E96CC0__no
2017-09-21Oliver KruseManual testing
529902193
312978236274852462332591
43300635E96CC0__no
2017-10-13kkmrkkblmbrbkManual testing
529902193
312978236274852462332591
43300635E96CC0__no
2020-04-17Oliver KruseAddPrpType5
529902193
312978236274852462332591
538DA1420C4F3A__no
2022-04-15LordJuliusWhiteBox
529902193
312978236274852462332591
538DA1420C4F3AF9no


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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106
107
108
109
100
101
102
103
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105
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107
108
109
1010
1011
1012
1013
TF factor-bounds graph:
264
263
262
261
260
259
258
257
this exponent TF target: 44
TF double-checked to: 67.8
ECM T-Level=30.76 ~= 86-bit
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Last modified: 2023-04-26T21:34:10+00:00