is 2 1718203 - 1
has 517231 decimal digits
takes 0.081 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LA98556344EC85F50double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26717.293668.6567%500000150000000.08805.0302%17.381670.2333%1.5766%
PrimeNet2570.011263.1579%80001400000.00102.7928%0.012264.1868%1.0289%
GPU722610.178865.5738%70001100000.00091.3434%0.179666.0362%0.4625%
Difference+6+17.1148+3.0829%+493000+14890000+0.0872+3.6868%+17.2020+4.1971%+4.1971%

Known prime factors (1 factor, 76.6 bits, 0.00445698% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
17182031129447709730566421207772476.58032867120757284396
22 × 11 × 698849 × 1068871841
2011-12-02698849106887184114,3364.01917.4223

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2011-02-11T06:21:00Carsten Kossendeyleela900001507500---0.011--2.356%
2016-03-16T12:30:51alpertronManual testing5000001500000012---0.088--5.030%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-02-02T00:00:00ANONYMOUSv4_computers21258--0.022--
2022-03-08T23:06:23LordJuliusManual testing258260--0.067--
2010-04-23T13:38:00Architects Cubeda3_bu2260261--0.089--
2010-10-27T20:37:00GrunwalderGIMPManual testing21263--0.929--


ECM factoring results:

Old Calculation Method

Total ECM effort:15.472 GHz-days
Estimated T-Level:24.643
DigitsB1CurvesCompleteFacMiss
2011000260 / 1002.6007.331%
2550000260 / 2800.92939.446%

New Calculation Method

Total ECM effort:15.472 GHz-days
Estimated T-Level:24.643
DigitsB1CompleteFacMiss
201100010.0000.005%
25500000.92539.643%
302500000.05894.331%
3510000000.00399.728%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50000500000026015.47


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-13T00:00:00ANONYMOUSv4_computersA98556344EC85F500.081


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-30T15:15:37alpertronManual testing
112944770973056642120777
D4C652E0952452__no
2017-10-19T01:34:47Oliver KruseThreadripper
112944770973056642120777
D4C652E0952452__no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 90000, B2 = 1507500 (P-1 stage 2)
B1 = 90000 (P-1 stage 1)
103
104
105
106
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
263
261
260
258
250
260
270
280
290
2100
Last modified: 2022-03-08T23:06:23+00:00