is 2 100511 - 1
has 30257 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
Actual267295.628574.6269%1000000000256090207573204,498.852527.4388%4,794.481081.5890%
Target2440.000061.3636%12001440000.00004.1520%0.000162.9678%
Difference+23+295.6285+13.2632%+999998800+25609020613320+4,498.8525+23.2868%+4,794.4810+18.6211%

Known prime factors (3 factors, 125.2 bits, 0.12455679% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
10051115277673823.86576
22 × 19
-4191.130e-111.552e-82.623e-8
100511516224497928.9432568
23 × 3 × 107
2008-07-2681075.535e-104.316e-85.246e-8
10051161664490030562637975592272.38530675493244800389
3 × 10225164414933463
2010-02-2031022516441493346311,3871,795,0843,352,718

4 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-10-31kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 15277673
skipped known factor: 516224497
--0.656--11.728%
2021-12-16Seth_TrManual testing100000000025609020757320-
skipped known factor: 15277673
skipped known factor: 516224497
--4,499--27.439%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-26J FeitsmaManual testing??28.94391.97762e-100.0004.22203e-10
2022-04-13LordJuliusManual testing2125723.86581.13012e-110.0002.41271e-11
2022-04-13LordJuliusManual testing2125728.94395.53549e-100.0001.18177e-9
2022-04-13LordJuliusManual testing2125752.808160.0080.0000.015
2022-04-13LordJuliusManual testing257258--0.191--
2022-04-13LordJuliusManual testing258259--0.382--
2022-04-13LordJuliusManual testing259260--0.764--
2022-04-13LordJuliusManual testing260261--1.528--
2022-04-13LordJuliusManual testing261262--3.056--
2022-10-22LordJuliusManual testing262263--9.77--
2022-10-22LordJuliusManual testing263264--19.53--
2022-10-22LordJuliusManual testing264265--37.17--
2022-10-22LordJuliusManual testing265266--74.35--
2022-10-22LordJuliusManual testing266267--148.7--


ECM factoring results:
Total ECM effort:12.733 GHz-days
Estimated T-Level:30.766
DigitsB1CompleteFacMiss
201100082.9510.000%
255000013.0360.000%
302500001.56021.008%
3510000000.15385.798%
4030000000.01398.726%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002800.650
250000250000005856.790
10000001000000001145.293


Lucas-Lehmer results:
No L-L results for M100511


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21Oliver KruseOliver-PC98E076ADA5D311__?
2017-09-21Oliver KruseManual testing98E076ADA5D311__?
2017-10-09Chang Chia-Tchehomura98E076ADA5D311__?
2017-10-13kkmrkkblmbrbkManual testing
15277673
516224497
6166449003056263797559
98E076ADA5D311__no
2020-04-17Oliver KruseAddPrpType5
15277673
516224497
6166449003056263797559
6F88CED3C3414C__no
2022-04-15LordJuliusWhiteBox
15277673
516224497
6166449003056263797559
6F88CED3C3414CBBno


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 25609020757320 (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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109
100
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102
103
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109
1010
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1016
1017
TF factor-bounds graph:
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266
265
264
263
262
261
260
259
258
257
2
this exponent TF target: 44
TF double-checked to: 67.8
ECM T-Level=30.77 ~= 86-bit
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Last modified: 2023-06-05T21:50:05+00:00