is 2 193433 - 1
has 58230 decimal digits
takes 0.001 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
Actual267153.613573.1343%10000000020000000001.360712.3010%154.974276.4391%3.3048%
PrimeNet2400.000055.0000%2000500000.000012.4231%0.000060.5904%5.5904%
GPU722440.000059.0909%3600800000.00018.8163%0.000162.6976%3.6067%
Difference+23+153.6135+14.0434%+99996400+1999920000+1.3607+3.4847%+154.9742+13.7415%+13.7415%

Known prime factors (3 factors, 138.8 bits, 0.07177098% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1934336189857722.56116
24
-16162.899e-121.070e-72.177e-7
193433382223609928.510988
22 × 13 × 19
2008-07-2713192.244e-108.911e-81.769e-7
1934332615913660576083214333717592787.757676180812109640861263
676180812109640861263
2020-11-031676180812109640861263167,751,9592.463e+114.601e+11

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
19343323659094817339131651.071
193433161921314833124927168260621604846334110.319
1934339998639601777915452669540676365823135116.267
19343361890149329542242410114725042387724676296742138.829
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2017-08-23T17:03:29kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 6189857
skipped known factor: 382223609
--1.361--12.301%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-27T10:50:00J FeitsmaManual testing??28.51093.95356e-110.0028.20017e-11


ECM factoring results:

Old Calculation Method

Total ECM effort:12.275 GHz-days
Estimated T-Level:28.438
DigitsB1CurvesCompleteFacMiss
2011000721 / 1007.2100.071%
2550000721 / 2802.5757.580%
30250000440 / 6400.68850.256%

New Calculation Method

Total ECM effort:12.275 GHz-days
Estimated T-Level:28.438
DigitsB1CompleteFacMiss
201100045.7310.000%
25500006.1620.211%
302500000.62853.392%
3510000000.05095.090%
4030000000.00399.670%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002811.370
250000250000003959.63
2500002500000030.073
2500003574772470.195
2500003839204270.201
25000038500000280.804


Lucas-Lehmer results:
No L-L results for M193433


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T01:42:13Oliver KruseOllaptop
6189857
382223609
97235C7B274DF4__no
2017-09-22T10:02:08Oliver KruseManual testing
6189857
382223609
97235C7B274DF4__no
2017-10-12T05:28:51kkmrkkblmbrbkc4.xlarge97235C7B274DF4__no
2020-04-17T19:01:49Oliver KruseAddPrpType5
6189857
382223609
068CAB573CF087__no
2020-11-03T17:22:25mnd9vv
6189857
382223609
261591366057608321433371759
068CAB573CF08742no
2020-11-06T02:52:16arnaudSRV-130
6189857
382223609
261591366057608321433371759
068CAB573CF08742no


P-1 factor-bounds graph:
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-05-14T07:37:05+00:00