is 2 1965853 - 1
has 591781 decimal digits
takes 0.107 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LABE7C07D60D7CD1Edouble-checked
PRP4421491576660E19PRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26830.320169.1176%19658532457316251.19948.4622%31.519571.7310%2.6133%
PrimeNet2580.019563.7931%80001400000.00122.4706%0.020764.6876%0.8945%
GPU722620.312566.1290%80001000000.00101.1954%0.313566.5339%0.4049%
Difference+6+30.0076+2.9886%+1957853+245631625+1.1983+7.2668%+31.2059+5.1971%+2.2084%

Known prime factors (1 factor, 82.8 bits, 0.00421113% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
196585383299492360136423790327112582.7852118660254864845535
5 × 137 × 167 × 18520566937933
2022-08-1616718520566937933780,25379,375148,249

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2011-05-01T02:45:00kurlyslice100000030000000---0.203--5.701%
2018-01-21T01:09:50Jocelyn Larouchelow 4M10000001000000---0.079--2.383%
2018-01-27T10:55:54Jocelyn Larouchelow 4M19658533000000012---0.275--6.058%
2018-02-14T12:53:55Jocelyn Larouchelow 4M19658536000000012---0.403--6.843%
2018-03-04T11:01:02Jocelyn Larouchelow 4M196585312000000012---0.661--7.636%
2018-05-17T12:10:35Jocelyn Larouchelow 4M196585319658530012---0.989--8.204%
2018-11-26T12:53:57Jocelyn LaroucheManual testing196585324573162512---1.199--8.462%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2022-08-16T14:16:51masserManual testing1500000150000027P+12582.7850.179


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-12-27T00:00:00ANONYMOUSv4_computers21258--0.020--
2016-02-23T16:29:00Mark RoseManual testing258260--0.059--
2010-01-05T11:06:00S485122USB-W260261--0.078--
2016-02-23T16:29:00Mark RoseManual testing261262--0.156--
2011-08-27T22:19:00GrunwalderGIMPManual testing21263--0.812--
2016-02-23T16:29:00Mark RoseManual testing262263--0.499--
2015-04-16T17:04:00lycornManual testing263264--0.999--
2015-04-16T17:04:00lycornManual testing264265--1.901--
2015-09-09T11:47:00ramgeisManual testing265266--3.801--
2017-12-04T13:35:47TJAOIManual testing266267--7.603--
2019-05-17T12:32:10chuenkitManual testing267268--15.21--


ECM factoring results:
Total ECM effort:18.200 GHz-days
Estimated T-Level:24.567
DigitsB1CompleteFacMiss
20110009.8250.005%
25500000.91340.113%
302500000.05894.386%
3510000000.00399.730%


ECM Summary

B1B2factorcurvesGHz-days
50000500000019413.51
50000545000070.505
500007500000504.184


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-17T00:00:00ANONYMOUSv4_computersABE7C07D60D7CD1E0.107
2015-06-27T00:56:00MadPooManual testingABE7C07D60D7CD1E0.107


PRP results:
dateuseridcompidcofactorsres64PRP
2022-08-16T20:39:58LordJuliusWhiteBox
8329949236013642379032711
4421491576660E19no


P-1 factor-bounds graph:
B1 = 1965853, B2 = 245731625 (P-1 stage 2)
B1 = 1965853, B2 = 196585300 (P-1 stage 2)
B1 = 1965853, B2 = 120000000 (P-1 stage 2)
B1 = 1965853, B2 = 60000000 (P-1 stage 2)
B1 = 1965853, B2 = 30000000 (P-1 stage 2)
B1 = 1000000, B2 = 30000000 (P-1 stage 2)
B1 = 1965853 (P-1 stage 1)
B1 = 1500000 (P+1 stage 1)
B1 = 1000000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-08-16T20:39:58+00:00