is 2 1108463 - 1
has 333681 decimal digits
takes 0.033 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LCD5216B21D47758Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26726.806468.6567%300000100000000.03564.1189%26.842069.9477%1.2910%
PrimeNet2560.008762.5000%4500650000.00032.0309%0.009063.2616%0.7616%
GPU722600.138665.0000%4500220000.00020.6850%0.138865.2398%0.2398%
Difference+7+26.6679+3.6567%+295500+9978000+0.0354+3.4338%+26.7032+4.7079%+4.7079%

Known prime factors (1 factor, 67.7 bits, 0.00610848% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
11084632414403851051765330472167.710108907733097621
32 × 12100859233069
2009-04-1191210085923306929.03028,33452,920

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-03-03T00:00:00Jocelyn Larouchev4_computers15000165000---0.001--0.700%
2016-03-17T18:59:57alpertronManual testing3000001000000012---0.036--4.119%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-12-01T00:00:00ANONYMOUSv4_computers21257--0.017--
2022-03-07T17:30:51LordJuliusManual testing257260--0.121--
2009-02-18T02:49:00Sturle Sundegopher.ifi260261--0.139--
2022-04-12T17:43:16LordJuliusManual testing21261--0.277--
2022-04-12T17:43:16LordJuliusManual testing261262--0.277--
2022-04-12T17:43:16LordJuliusManual testing262263--0.886--
2022-04-12T17:43:16LordJuliusManual testing263264--1.771--


ECM factoring results:

Old Calculation Method

Total ECM effort:17.548 GHz-days
Estimated T-Level:25.344
DigitsB1CurvesCompleteFacMiss
2011000322 / 1003.2203.931%
2550000322 / 2801.15031.599%
3025000044 / 6400.06993.351%

New Calculation Method

Total ECM effort:17.548 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100012.6340.000%
25500001.34126.168%
302500000.10789.841%
3510000000.00799.298%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002789.80
25000025000000447.752


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-04-20T00:00:00ANONYMOUSv4_computersCD5216B21D47758D0.033


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-29T02:37:25Oliver KruseGTX-3
241440385105176533047
219625E93C5E1A__no
2017-10-16T15:25:15Oliver KruseThreadripper
241440385105176533047
219625E93C5E1A__no
2018-01-02T09:04:19ATHec2-1xf
241440385105176533047
219625E93C5E1A__no


P-1 factor-bounds graph:
B1 = 300000, B2 = 10000000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 15000, B2 = 165000 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-04-12T17:43:16+00:00