is 2 1806269 - 1
has 543742 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-L147F010B52165AFDdouble-checked
PRP0F0BEBA869C43801verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26832.998969.1176%18062691806269000.90857.9736%33.907471.5801%2.4624%
PrimeNet2570.010663.1579%80001500000.00122.8720%0.011964.2160%1.0581%
GPU722610.170165.5738%90001300000.00121.5555%0.171366.1093%0.5355%
Difference+7+32.8288+3.5439%+1797269+180496900+0.9072+6.4181%+33.7361+5.4708%+5.4708%

Known prime factors (1 factor, 78.2 bits, 0.00432978% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
18062693489892796202608392335912478.20896605012769488055
34 × 5 × 72 × 19 × 67 × 3824020003
2020-12-0881382402000354,68816.38930.610

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-09-21T00:00:00ANONYMOUSv4_computers25000387500---0.004--1.036%
2011-02-09T16:51:00Carsten Kossendeyleela1000001650000---0.015--2.197%
2014-05-12T10:21:00Jocelyn LaroucheManual testing135534135534---0.011--0.924%
2014-09-20T22:31:00Jocelyn LaroucheManual testing171068171068---0.013--1.051%
2015-05-05T12:06:00mikrMSI278000091760000---0.600--7.480%
2018-09-19T11:52:23Jocelyn Larouchelow 4M180626918062690012---0.908--7.974%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-01-25T00:00:00ANONYMOUSv4_computers21258--0.021--
2016-02-23T16:28:53Mark RoseManual testing258260--0.064--
2010-04-11T14:32:00Architects CubedManual testing260261--0.085--
2016-02-23T16:28:53Mark RoseManual testing261262--0.170--
2010-12-13T03:33:00GrunwalderGIMPManual testing21263--0.884--
2016-02-23T16:28:52Mark RoseManual testing262263--0.543--
2015-04-20T21:14:00snme2pm1Manual testing263264--1.087--
2015-04-20T21:14:00snme2pm1Manual testing264265--2.069--
2015-09-01T08:49:00ramgeisManual testing265266--4.137--
2018-05-14T16:20:07TJAOIManual testing266267--8.274--
2019-06-24T09:36:05TJAOIManual testing267268--16.55--


ECM factoring results:

Old Calculation Method

Total ECM effort:17.944 GHz-days
Estimated T-Level:24.500
DigitsB1CurvesCompleteFacMiss
2011000252 / 1002.5207.945%
2550000252 / 2800.90040.592%

New Calculation Method

Total ECM effort:17.944 GHz-days
Estimated T-Level:24.500
DigitsB1CompleteFacMiss
20110008.2830.025%
25500000.74947.268%
302500000.04695.482%
3510000000.00299.788%


ECM Summary

B1B2factorcurvesGHz-days
50000500000018312.62
50000500000010.069
500006500000675.171
60000600000010.083


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-21T00:00:00ANONYMOUSv4_computers147F010B52165AFD0.098
2015-07-18T18:31:00MadPooManual testing147F010B52165AFD0.098


PRP results:
dateuseridcompidcofactorsres64PRP
2020-12-08T13:14:20riccardo ubertiColab_noGPU8
348989279620260839233591
0F0BEBA869C43801no


P-1 factor-bounds graph:
B1 = 1806269, B2 = 180626900 (P-1 stage 2)
B1 = 2780000, B2 = 91760000 (P-1 stage 2)
B1 = 2780000 (P-1 stage 1)
B1 = 1806269 (P-1 stage 1)
B1 = 100000, B2 = 1650000 (P-1 stage 2)
B1 = 171068 (P-1 stage 1)
B1 = 135534 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 25000, B2 = 387500 (P-1 stage 2)
B1 = 25000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-02-26T17:52:38+00:00