is 2 1800593 - 1
has 542033 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-L055B21503D3391EDdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26833.102969.1176%30000003930000001.90749.2800%35.010371.9835%2.8659%
PrimeNet2570.010763.1579%80001500000.00122.8703%0.011964.2154%1.0575%
GPU722610.170665.5738%90001300000.00121.5545%0.171866.1089%0.5351%
Difference+7+32.9323+3.5439%+2991000+392870000+1.9062+7.7255%+34.8385+5.8746%+5.8746%

Known prime factors:
No known factors for M1800593

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-09-21T00:00:00ANONYMOUSv4_computers25000387500---0.004--1.035%
2011-02-09T16:51:00Carsten Kossendeyleela1000001650000---0.015--2.196%
2014-05-12T10:21:00Jocelyn LaroucheManual testing135646135646---0.011--0.924%
2014-09-20T22:31:00Jocelyn LaroucheManual testing171292171292---0.013--1.051%
2015-04-27T12:41:00mikrMSI278000091760000---0.600--7.477%
2018-09-18T11:52:42Jocelyn Larouchelow 4M180059318005930012---0.906--7.965%
2021-07-11T12:55:28Dylan Delgadolaptop-ryzen737003000000393000000---1.907--9.280%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-01-25T00:00:00ANONYMOUSv4_computers21258--0.021--
2016-02-23T16:28:52Mark RoseManual testing258260--0.064--
2010-04-10T15:57:00Architects CubedManual testing260261--0.085--
2016-02-23T16:28:52Mark RoseManual testing261262--0.171--
2011-01-21T16:10:00GrunwalderGIMPManual testing21263--0.886--
2016-02-23T16:28:52Mark RoseManual testing262263--0.545--
2015-04-19T23:04:00snme2pm1Manual testing263264--1.090--
2015-04-19T23:04:00snme2pm1Manual testing264265--2.075--
2015-08-30T20:42:00ramgeisManual testing265266--4.150--
2018-06-11T13:42:36TJAOIManual testing266267--8.300--
2019-07-24T10:13:50TJAOIManual testing267268--16.60--


ECM factoring results:

Old Calculation Method

Total ECM effort:18.441 GHz-days
Estimated T-Level:24.768
DigitsB1CurvesCompleteFacMiss
2011000267 / 1002.6706.833%
2550000267 / 2800.95438.471%

New Calculation Method

Total ECM effort:18.441 GHz-days
Estimated T-Level:24.768
DigitsB1CompleteFacMiss
201100010.2780.003%
25500000.95238.605%
302500000.06094.168%
3510000000.00399.719%


ECM Summary

B1B2factorcurvesGHz-days
50000500000026618.34
74000740000010.102


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-06T00:00:00ANONYMOUSv4_computers055B21503D3391ED0.098
2015-06-27T00:56:00MadPooManual testing055B21503D3391ED0.098


PRP results:
No PRP results for M1800593


P-1 factor-bounds graph:
B1 = 3000000, B2 = 393000000 (P-1 stage 2)
B1 = 1800593, B2 = 180059300 (P-1 stage 2)
B1 = 2780000, B2 = 91760000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 2780000 (P-1 stage 1)
B1 = 1800593 (P-1 stage 1)
B1 = 100000, B2 = 1650000 (P-1 stage 2)
B1 = 171292 (P-1 stage 1)
B1 = 135646 (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: 2021-07-11T12:55:28+00:00