is 2 100829 - 1
has 30353 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
Actual267294.696174.6269%100000000065488995772201,152.742425.4522%1,447.438581.0849%
Target2440.000061.3636%12001440000.00004.1549%0.000162.9690%
Difference+23+294.6961+13.2632%+999998800+6548899433220+1,152.7423+21.2973%+1,447.4385+18.1159%

Known prime factors (3 factors, 129.9 bits, 0.12878319% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
10082920165801824.265100
22 × 52
-25252.265e-118.056e-81.639e-7
1008291335191734071236.958662107
662107
2008-07-2616621071.192e-70.00010.0002
1008294558562397555453927372168.6272260541311306992
24 × 32 × 7 × 17 × 131917676897
2008-10-1617131917676897623.4923.15943.254

4 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-10-31kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 20165801
skipped known factor: 133519173407
--0.656--11.731%
2021-12-17Seth_TrManual testing10000000006548899577220-
skipped known factor: 20165801
skipped known factor: 133519173407
skipped known factor: 455856239755545392737
--1,153--25.452%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-26J FeitsmaManual testing??36.958122.84371e-80.0006.06660e-8
2018-10-25J.R. AllenManual testing252257--0.184--
2022-04-13LordJuliusManual testing2125736.958121.19231e-70.0002.54361e-7
2022-04-13LordJuliusManual testing2125724.26582.26463e-110.0004.83308e-11
2018-11-01J.R. AllenManual testing257258--0.190--
2022-04-13LordJuliusManual testing257258--0.190--
2018-11-01J.R. AllenManual testing258259--0.381--
2022-04-13LordJuliusManual testing258259--0.381--
2018-11-01J.R. AllenManual testing259260--0.762--
2022-04-13LordJuliusManual testing259260--0.762--
2022-04-13LordJuliusManual testing260261--1.523--
2022-04-13LordJuliusManual testing261262--3.047--
2022-10-25LordJuliusManual testing262263--9.74--
2022-10-25LordJuliusManual testing263264--19.47--
2022-10-25LordJuliusManual testing264265--37.06--
2022-10-25LordJuliusManual testing265266--74.11--
2022-10-25LordJuliusManual testing266267--148.2--


ECM factoring results:
Total ECM effort:12.736 GHz-days
Estimated T-Level:30.766
DigitsB1CompleteFacMiss
201100082.9900.000%
255000013.0390.000%
302500001.56121.003%
3510000000.15385.797%
4030000000.01398.726%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002810.652
250000250000005856.791
10000001000000001145.293


Lucas-Lehmer results:
No L-L results for M100829


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21Oliver KruseDoppelherz
20165801
133519173407
455856239755545392737
7AD9D1EFDE84C2CEno
2017-09-21Oliver KruseManual testing
20165801
133519173407
455856239755545392737
7AD9D1EFDE84C2CEno
2017-09-22Oliver KruseManual testing
20165801
133519173407
455856239755545392737
7AD9D1EFDE84C2CEno
2017-11-06kkmrkkblmbrbkc4.xlarge
20165801
133519173407
455856239755545392737
7AD9D1EFDE84C2__no
2020-04-17Oliver KruseAddPrpType5
20165801
133519173407
455856239755545392737
E79D38BE2DE4B6__no
2022-04-15LordJuliusWhiteBox
20165801
133519173407
455856239755545392737
E79D38BE2DE4B694no


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 6548899577220 (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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105
106
107
108
109
100
101
102
103
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109
1010
1011
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1013
TF factor-bounds graph:
267
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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290
Last modified: 2023-06-05T21:50:05+00:00