is 2 41333 - 1
has 12443 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
Actualunknown88000000078936726129261044,518.982170.6445%44,518.982170.6445%
Target2440.000163.6364%500500000.00001.9310%0.000164.3385%
Difference-44-0.0001-63.6364%+879999500+789367261242610+44,518.9821+68.7136%+44,518.9821+6.3060%

Known prime factors (5 factors, 332.5 bits, 0.80449590% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
41333247999617.9203
3
-134.227e-131.148e-92.107e-9
4133346792290978376822871962.02156604034280571
3 × 829 × 6823 × 3335771
2008-08-266823333577138.2590.00020.0004
413331168332482547555807672166.6631413316820152851
3 × 17 × 31 × 37 × 27763 × 870241
2008-08-2627763870241652.447.625e-59.167e-5
413332848259872737249458744872477.9143445503438822792271
5305483 × 649423141837
2010-05-0353054836494231418371,110,95236.63168.407
4133332539660947866587607970818791327933108.0043936281052411703434056422083
3 × 17 × 101 × 764178033859775467687133
2019-01-111017641780338597754676871333.510e+124.310e+138.049e+13

26 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-09-13kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 247999
skipped known factor: 4679229097837682287
skipped known factor: 116833248254755580767
--0.211--39.144%
2021-12-21Lisander ViaeneManual testing10000000001000000000-
skipped known factor: 247999
skipped known factor: 4679229097837682287
skipped known factor: 116833248254755580767
--1.035--34.681%
2023-04-09JacobZMServer880000000789367261292610-
skipped known factor: 247999
skipped known factor: 4679229097837682287
skipped known factor: 116833248254755580767
skipped known factor: 284825987273724945874487
--44,519--70.645%


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


Trial Factoring results:
No TF results for M41333


ECM factoring results:
Total ECM effort:53.433 GHz-days
Estimated T-Level:35.607
DigitsB1CompleteFacMiss
2011000323.6530.000%
255000061.9890.000%
302500009.3940.008%
3510000001.16731.129%
4030000000.12188.561%
45110000000.01198.923%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
10.00000e+0
10.00000e+0
5000050000002880.214
250000250000005822.167
10000001000000001,45621.69
100000010000000020.030
3000000114863248505029.33


Lucas-Lehmer results:
No L-L results for M41333


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21Oliver KruseOllaptop
247999
4679229097837682287
116833248254755580767
284825987273724945874487
B6897ABA55C05A5Bno
2017-09-21Oliver KruseManual testing
247999
4679229097837682287
116833248254755580767
284825987273724945874487
B6897ABA55C05A5Bno
2017-10-02kkmrkkblmbrbkManual testing
247999
4679229097837682287
116833248254755580767
284825987273724945874487
B6897ABA55C05A__no
2017-12-07ATHxps
247999
4679229097837682287
116833248254755580767
284825987273724945874487
B6897ABA55C05A__no
2019-01-13Oliver KruseGTX-5
247999
4679229097837682287
116833248254755580767
284825987273724945874487
325396609478665876079708187913279
C0DAF8F1B675F215no
2019-01-13marssystemssystem03
247999
4679229097837682287
116833248254755580767
284825987273724945874487
325396609478665876079708187913279
C0DAF8F1B675F215no


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)
100
101
102
103
104
105
106
107
108
109
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
1024
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67.9
ECM T-Level=35.61 ~= 102-bit
250
260
270
280
290
2100
2110
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Last modified: 2023-10-02T12:12:48+00:00