is 2 29453 - 1
has 8867 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2671,008.858877.6119%500000000100000000000.812813.6817%1,009.671580.6750%3.0631%
PrimeNet2400.000062.5000%500100000.00004.0843%0.000064.0316%1.5316%
GPU722440.000165.9091%500100000.00001.7491%0.000166.5054%0.5963%
Difference+23+1,008.8587+11.7028%+499999500+9999990000+0.8128+11.9326%+1,009.6715+14.1696%+14.1696%

Known prime factors (3 factors, 274.1 bits, 0.93075687% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
294539098829188414581931859.65815446353832232
23 × 3 × 53 × 20533 × 591407
2014-04-23205335914073.52844.124e-54.807e-5
29453558748288570839213568966819272995.496948542234357856947626671
3 × 7 × 431 × 15199 × 26813 × 41179 × 6244877
2008-08-264117962448775.089e+110.00030.0005
2945365599853873354737750705991747774809736118.98111136361978975781372136283527616
26 × 23 × 359 × 4523 × 4659233679013937482229
2017-11-03452346592336790139374822294.678e+122.028e+113.787e+11

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
294535083955237025045585936176409058501304798917791147155.155
2945359688186517861145735074252807247212147086207741080
8721
54178.640
2945336653806082234097530200904050745135795489242792035
067675238542919
65214.477
2945333350672064751954052404904814678619881412385739239
330325397624615846892810574685367
83274.136
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2017-01-04T01:58:22kkmrkkblmbrbkManual testing5000000001000000000012-
skipped known factor: 909882918841458193
skipped known factor: 55874828857083921356896681927
--0.813--13.682%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-05-10T09:47:11ATHcolab-Pp11000000001000000000027--0.544


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2009-10-25T00:00:00GrunwalderGIMPv4_computers??59.658180.9213.32601e-51.888


ECM factoring results:

Old Calculation Method

Total ECM effort:19.204 GHz-days
Estimated T-Level:31.617
DigitsB1CurvesCompleteFacMiss
20110001249 / 10012.4900.000%
25500001249 / 2804.4611.146%
302500001126 / 6401.75917.192%
351000000511 / 15800.32372.360%
403000000500 / 47000.10689.907%

New Calculation Method

Total ECM effort:19.204 GHz-days
Estimated T-Level:31.617
DigitsB1CompleteFacMiss
2011000156.7890.000%
255000031.8920.000%
302500005.5000.409%
3510000000.79745.062%
4030000000.09890.620%
45110000000.01198.944%
50440000000.00199.899%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000001230.071
250000250000006151.767
1000000100000000110.126
300000030000000038613.31
30000003000000001143.931


Lucas-Lehmer results:
No L-L results for M29453


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T19:39:34Oliver KruseOllaptop92B6BD229EEAD6__?
2017-09-21T21:38:46Oliver KruseManual testing92B6BD229EEAD6__?
2017-10-02T10:29:36kkmrkkblmbrbkManual testing
909882918841458193
55874828857083921356896681927
92B6BD229EEAD6__no
2017-11-03T13:57:38alpertronlaptop2
909882918841458193
55874828857083921356896681927
655998538733547377507059917477748097
3924B4710D8E26__no
2017-11-03T22:56:12Oliver KruseGTX-0
909882918841458193
55874828857083921356896681927
655998538733547377507059917477748097
3924B4710D8E26__no


P-1 factor-bounds graph:
B1 = 500000000, B2 = 10000000000 (P-1 stage 2)
B1 = 500000000 (P-1 stage 1)
102
103
104
105
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102
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1010
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1016
1017
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1019
1020
1021
1022
TF factor-bounds graph:
267
2
250
260
270
280
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2100
2110
2120
Last modified: 2021-05-10T09:47:11+00:00