is 2 1810433 - 1
has 544995 decimal digits
takes 0.098 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LE337C45E2231B4C8double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26716.412668.6567%500000150000000.10155.0620%16.514170.2433%1.5866%
PrimeNet2570.010663.1579%80001500000.00122.8733%0.011864.2165%1.0586%
GPU722610.169765.5738%90001300000.00121.5562%0.170966.1095%0.5357%
Difference+6+16.2429+3.0829%+491000+14870000+0.1002+3.5058%+16.3432+4.1338%+4.1338%

Known prime factors (2 factors, 135.2 bits, 0.00746602% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
181043348924962659247011931962.0851351195063812
22 × 32 × 11 × 3412108747
2009-07-151134121087470.354814.62327.313
181043399968250845002098874392273.0822760893411824743
3 × 132 × 2048569 × 2658221
2020-06-03204856926582211,523.80.16380.3280

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
18104334890942939701966234786104780700023901472741135.167
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-16T12:36:59alpertronManual testing5000001500000012---0.101--5.062%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-01-16T00:00:00ANONYMOUSv4_computers21258--0.021--


ECM factoring results:

Old Calculation Method

Total ECM effort:18.562 GHz-days
Estimated T-Level:24.464
DigitsB1CurvesCompleteFacMiss
2011000250 / 1002.5008.106%
2550000250 / 2800.89340.883%

New Calculation Method

Total ECM effort:18.562 GHz-days
Estimated T-Level:24.464
DigitsB1CompleteFacMiss
20110008.3980.023%
25500000.76046.753%
302500000.04795.411%
3510000000.00299.784%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
500005000000100.690
500005000000906.209
50000660000015011.66


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-27T00:00:00ANONYMOUSv4_computersE337C45E2231B4C80.098


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-03T21:04:51Oliver KruseGTX-0
4892496265924701193
DC99B4C01B22BA__no
2017-11-05T17:47:14kkmrkkblmbrbkc4.xlarge
4892496265924701193
DC99B4C01B22BA__no
2020-06-04T01:30:14CrypticCluecruncher
4892496265924701193
9996825084500209887439
10C0D0784C82AA93no
2020-06-05T13:30:20Luigi Morelli9800X
4892496265924701193
9996825084500209887439
10C0D0784C82AA93no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
258
250
260
270
280
290
2100
Last modified: 2021-03-05T18:08:35+00:00