is 2 41299 - 1
has 12433 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
Actual267719.482776.1194%88000000078936726129261044,518.982130.8505%45,238.464983.4867%
Target2440.000163.6364%500500000.00001.9305%0.000164.3384%
Difference+23+719.4827+12.4830%+879999500+789367261242610+44,518.9821+28.9200%+45,238.4648+19.1483%

Known prime factors (5 factors, 433.4 bits, 1.04935194% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
41299199900719287691444.184242016416
25 × 7563013
-3275630138.544e-50.00040.0008
412991078854426074907531856.5821306150785824
25 × 1049 × 5399 × 7207
2008-08-26539972070.30415.691e-61.137e-5
41299376464112943242608607272374.995455778727019107737
3 × 7 × 17 × 23 × 6577 × 8439761171
2010-05-0165778439761171184,0170.47600.8890
4129928075905114622009516917263939354005736117.7573399102292382625428813925753572
22 × 137 × 1753 × 2603569 × 1359041341380441577
2021-10-19260356913590413413804415773.624e+1276,646,157143,153,676
41299125919729133540529228693545426180399073770343139.85315244888391188712708381988114261894849
32 × 131 × 1487 × 526127053 × 840124193 × 19672762590097
2023-04-09840124193196727625900974.121e+121,110.32,072.2

26 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-09-13kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 19990071928769
skipped known factor: 107885442607490753
--0.211--10.975%
2021-12-21Lisander ViaeneManual testing10000000001000000000-
skipped known factor: 19990071928769
skipped known factor: 107885442607490753
--1.035--10.041%
2023-04-09JacobZMServer88000000078936726129261043139.85344,5195.89658e-589,03830.851%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-04-27gLausslaptop-klaus10000000100000000027--0.071


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-08-31ANONYMOUSv4_computers??44.184142.86929e-56.00191e-55.84110e-5


ECM factoring results:
Total ECM effort:54.221 GHz-days
Estimated T-Level:35.625
DigitsB1CompleteFacMiss
2011000332.4090.000%
255000063.7480.000%
302500009.6670.006%
3510000001.20130.089%
4030000000.12588.254%
45110000000.01198.894%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
10.00000e+0
5000050000002860.213
250000250000005822.167
10000001000000001,32219.69
10000001000000001892.815
3000000114863248505029.33


Lucas-Lehmer results:
No L-L results for M41299


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21Oliver KruseDoppelherz
19990071928769
107885442607490753
37646411294324260860727
4122AE3EE3D1FCF6no
2017-09-21Oliver KruseManual testing
19990071928769
107885442607490753
37646411294324260860727
4122AE3EE3D1FCF6no
2017-09-21Oliver KruseManual testing
19990071928769
107885442607490753
37646411294324260860727
4122AE3EE3D1FCF6no
2017-11-06kkmrkkblmbrbkc4.xlarge
19990071928769
107885442607490753
37646411294324260860727
4122AE3EE3D1FC__no
2020-04-17Oliver KruseManual testing
19990071928769
107885442607490753
37646411294324260860727
D8EB366A9E2D29__no
2021-10-19zr_zirconRyzen_5_3550H
19990071928769
107885442607490753
37646411294324260860727
280759051146220095169172639393540057
D8EB366A9E2D293Fno
2023-04-09JacobZMServer
19990071928769
107885442607490753
37646411294324260860727
280759051146220095169172639393540057
1259197291335405292286935454261803990737703
D8EB366A9E2D293Fno


P-1 factor-bounds graph:
B1 = 880000000, B2 = 789367261292610 (P-1 stage 2)
B1 = 1000000000 (P-1 stage 1)
B1 = 880000000 (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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109
1010
1011
1012
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1016
1017
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1019
TF factor-bounds graph:
2
this exponent TF target: 44
TF double-checked to: 67.9
ECM T-Level=35.62 ~= 102-bit
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Last modified: 2023-09-25T11:53:03+00:00