is 2 29338703 - 1
has 8831830 decimal digits
takes 29.176 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
Actual274130.403466.2162%1000000100004619079.92817.5280%210.331568.7595%
Target2708.144664.2857%220000520000004.38514.0649%12.529765.7375%
Difference+4+122.2588+1.9305%+780000+948046190+75.5430+3.4630%+197.8018+3.0220%

Known prime factors (8 factors, 356.9 bits, 0.00121664% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2933870358677407825.8061
1		-111.524e-131.442e-62.935e-6
29338703605550829931135.8181032
23 × 3 × 43		2008-09-098431.909e-101.429e-52.348e-5
293387031790834431131237.3823052
22 × 7 × 109		2008-09-0971091.036e-91.811e-52.054e-5
2933870316263616621031340.56527717
3 × 9239		2008-09-09392399.982e-90.00070.0014
29338703157077655539831443.837267697
23 × 103 × 113		2008-10-011031137.761e-80.00010.0003
29338703213541749785511444.280363925
52 × 14557		2008-10-0125145571.415e-70.00120.0021
293387035141319675074586231858.8358762009137
72 × 23 × 7774631		2011-07-214977746310.00230.61091.1408
2933870315843168170288190525592270.42427000457672393
155861 × 173234213		2022-02-2115586117323421311.76613.82225.419

247 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-05-20masserManual testing28500032552016-
skipped known factor: 58677407
skipped known factor: 60555082993
skipped known factor: 179083443113
skipped known factor: 1626361662103
skipped known factor: 15707765553983
skipped known factor: 21354174978551
skipped known factor: 514131967507458623
--2.946--3.785%
2023-03-16DobriSlowFury10000001000046190-
skipped known factor: 58677407
skipped known factor: 60555082993
skipped known factor: 179083443113
skipped known factor: 1626361662103
skipped known factor: 15707765553983
skipped known factor: 21354174978551
skipped known factor: 514131967507458623
skipped known factor: 1584316817028819052559
--79.93--7.528%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-09Will EdgingtonManual testing??40.565134.98931e-967.311.15100e-8
2008-09-09Will EdgingtonManual testing??37.382124.12264e-1067.319.51067e-10
2008-09-09Will EdgingtonManual testing??35.818113.48506e-1167.318.03982e-11
2008-10-01markrManual testing??43.837143.76668e-867.318.68949e-8
2008-10-01markrManual testing??44.280146.16396e-867.311.42199e-7
2011-07-21AxonManual testing??58.835180.00167.300.002
2022-11-17LordJuliusManual testing2126563.188200.10067.190.231
2022-11-17LordJuliusManual testing2126543.837147.76072e-867.311.79035e-7
2022-11-17LordJuliusManual testing2126540.565139.98186e-967.312.30275e-8
2022-11-17LordJuliusManual testing2126537.382121.03633e-967.312.39076e-9
2022-11-17LordJuliusManual testing2126544.280141.41520e-767.313.26479e-7
2022-11-17LordJuliusManual testing2126561.624190.01167.290.025
2022-11-17LordJuliusManual testing2126558.835180.00267.300.005
2022-11-17LordJuliusManual testing2126525.80681.52394e-1367.313.51563e-13
2022-11-17LordJuliusManual testing2126535.818111.90868e-1067.314.40320e-10
2023-02-17DobriManual testing2126543.837147.76072e-867.311.79035e-7
2023-02-17DobriManual testing2126540.565139.98186e-967.312.30275e-8
2023-02-17DobriManual testing2126537.382121.03633e-967.312.39076e-9
2023-02-17DobriManual testing2126544.280141.41520e-767.313.26479e-7
2023-02-17DobriManual testing2126558.835180.00267.300.005
2023-02-17DobriManual testing2126525.80681.52394e-1367.313.51563e-13
2023-02-17DobriManual testing2126535.818111.90868e-1067.314.40320e-10
2022-11-17LordJuliusManual testing265266--0.255--
2021-08-06Seth_TrManual testing266267--0.509--
2019-06-20Seth_TrManual testing267268--1.019--
2019-12-10Seth_TrManual testing268269--2.038--
2019-12-17Seth_TrManual testing269270--4.075--
2023-02-17DobriManual testing269270--4.075--
2022-02-21masserManual testing27027170.424223.62259.167.344
2022-02-21masserManual testing270271
skipped known factors(?)
--8.151--
2022-11-17LordJuliusManual testing27027170.424223.62259.167.344
2022-11-17LordJuliusManual testing271272--16.30--
2023-02-17DobriManual testing271272--16.30--
2023-02-17DobriManual testing272273--32.60--
2023-02-20DobriManual testing273274--65.20--


ECM factoring results:
No ECM results for M29338703


Lucas-Lehmer results:
No L-L results for M29338703


PRP results:
dateuseridcompidcofactorsres64PRP
2020-10-20M Millercruncher
58677407
60555082993
179083443113
1626361662103
15707765553983
21354174978551
514131967507458623
CAB82F66B6E1C100no
2023-02-16DobriSlowFury
58677407
60555082993
179083443113
1626361662103
15707765553983
21354174978551
514131967507458623
1584316817028819052559
CAB82F66B6E1C100no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 1000046190 (P-1 stage 2)
B1 = 285000, B2 = 32552016 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 285000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
274
273
272
271
270
269
268
267
266
265
2
this exponent TF target: 70
TF double-checked to: 67.8
250
260
270
280
Last modified: 2023-06-05T21:50:05+00:00