is 2 534923 - 1
has 161028 decimal digits
takes 0.008 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-daysProbabilityProb over default TF
Actual26755.548070.1493%200000067331464207.797111.8488%63.345273.6862%3.5370%
Target2440.000054.5455%90003000000.000514.6415%0.000561.2007%6.6552%
Difference+23+55.5480+15.6038%+1991000+6732846420+7.7966-2.7927%+63.3446+12.4855%-3.1183%

Known prime factors (3 factors, 213.2 bits, 0.03985363% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
534923360538103928.426337
337
-13377.173e-114.082e-77.281e-7
534923755186885658186071756.06870588373061
3 × 23529457687
2015-03-053235294576870.029227.10850.630
53492355009758319085102432765439883291694704939128.693514183894869776607406724331196188
22 × 32 × 2887 × 8849 × 14341 × 272449 × 1581637 × 90469777
2022-12-191581637904697772.818e+110.13590.1947

4 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-16T12:40:41alpertronManual testing15000005000000012-
skipped known factor: 360538103
--0.088--6.144%
2022-12-19T18:06:17USAFSSUSAFSACS2000000673314642039128.6937.7970.01615.5911.849%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2015-03-05T12:41:00TJAOIManual testing256257*56.068170.0110.0160.023
2022-12-23T01:27:57LordJuliusManual testing2126028.42697.17281e-110.0161.49534e-10
2022-12-23T01:27:57LordJuliusManual testing2126056.068170.0290.0160.061
2022-12-23T01:27:57LordJuliusManual testing260261--0.287--
2022-12-23T01:27:57LordJuliusManual testing261262--0.574--
2022-12-23T01:27:57LordJuliusManual testing262263--1.835--
2022-12-23T01:27:57LordJuliusManual testing263264--3.670--
2022-12-23T01:27:57LordJuliusManual testing264265--6.985--
2022-12-23T01:27:57LordJuliusManual testing265266--13.97--
2022-12-23T01:27:57LordJuliusManual testing266267--27.94--


ECM factoring results:
Total ECM effort:17.253 GHz-days
Estimated T-Level:26.502
DigitsB1CompleteFacMiss
201100024.8080.000%
25500003.1354.351%
302500000.30074.050%
3510000000.02397.711%
4030000000.00199.851%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002814.531
25000025000000443.547
250000350000001009.175


Lucas-Lehmer results:
No L-L results for M534923


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-27T10:20:49Oliver KruseGTX-1
360538103
75518688565818607
4591CD73B8CFB7__no
2017-09-28T09:42:56Oliver KruseManual testing
360538103
75518688565818607
4591CD73B8CFB7__no
2017-11-07T08:06:55kkmrkkblmbrbkc4.xlarge
360538103
75518688565818607
4591CD73B8CFB7__no
2020-04-19T04:03:44Oliver KruseAddPrpType5
360538103
75518688565818607
A810B1AE2F3559__no
2022-12-19T23:35:20LordJuliusWhiteBox
360538103
75518688565818607
550097583190851024327654398832916947049
A810B1AE2F3559F6no


P-1 factor-bounds graph:
B1 = 2000000, B2 = 6733146420 (P-1 stage 2)
B1 = 1500000, B2 = 50000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 1500000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-12-23T01:27:57+00:00