is 2 2198723 - 1
has 661882 decimal digits
takes 0.145 GHz-days to do one PRP test
Last-known PrimeNet details:
Assigned as ecm on 2022-05-02, 0.0% done, ETC 2022-05-03
0 primality tests remaining
ResidueStatus
L-L5F4418406368484Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26954.298268.1159%25000001250000000.87467.3076%55.172970.4459%2.3300%
PrimeNet2580.017562.0690%100001800000.00182.8628%0.019363.1548%1.0859%
GPU722620.279464.5161%110001700000.00191.5998%0.281365.0838%0.5677%
Difference+7+54.0188+3.5998%+2489000+124830000+0.8728+5.7078%+54.8916+5.3621%+5.3621%

Known prime factors:
No known factors for M2198723

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-16T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.182%
2010-11-05T01:17:00Jocelyn LaroucheManual testing1500015000---0.001--0.165%
2010-11-09T10:51:00Jocelyn LaroucheManual testing3000030000---0.003--0.300%
2011-01-10T19:22:00markrtiny900001620000---0.017--1.952%
2014-07-04T02:21:00Jocelyn LaroucheManual testing119192119192---0.011--0.773%
2014-10-13T22:29:00Jocelyn LaroucheManual testing148384148384---0.014--0.878%
2016-02-05T12:25:21Jocelyn LaroucheManual testing58320058320006---0.083--3.562%
2018-03-27T15:00:44mikrMSI250000012500000012---0.875--7.308%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-29T00:00:00ANONYMOUSv4_computers21258--0.017--
2016-02-23T16:29:08Mark RoseManual testing258260--0.052--
2009-01-03T02:02:00Sturle Sundegibsy.ifi260261--0.070--
2009-01-07T23:10:00Sturle Sundegnom.ifi261262--0.140--
2013-12-04T02:15:00LaurVManual testing262263--0.446--
2015-04-25T17:15:00VictordeHollanderManual testing263264--0.893--
2015-04-25T17:15:00VictordeHollanderManual testing264265--1.699--
2016-01-07T16:51:52ramgeisManual testing265266--3.399--
2016-12-03T03:08:56Gordon SpenceManual testing266267--6.797--
2019-04-01T13:34:48TJAOIManual testing267268--13.59--
2021-07-15T09:27:42TJAOIManual testing268269--27.19--


ECM factoring results:

Old Calculation Method

Total ECM effort:16.749 GHz-days
Estimated T-Level:23.375
DigitsB1CurvesCompleteFacMiss
2011000189 / 1001.89014.964%
2550000189 / 2800.67550.854%

New Calculation Method

Total ECM effort:16.749 GHz-days
Estimated T-Level:23.375
DigitsB1CompleteFacMiss
20110007.3670.063%
25500000.68050.645%
302500000.04395.800%
3510000000.00299.800%


ECM Summary

B1B2factorcurvesGHz-days
500005000070.355
50000500000016814.38
50000615000070.656
50000645000070.671
50000675000070.686


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-01T00:00:00ANONYMOUSv4_computers5F4418406368484D0.145
2018-04-15T21:06:48kkmrkkblmbrbkold5F4418406368484D0.145


PRP results:
No PRP results for M2198723


P-1 factor-bounds graph:
B1 = 2500000, B2 = 125000000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 583200, B2 = 5832000 (P-1 stage 2)
B1 = 583200 (P-1 stage 1)
B1 = 90000, B2 = 1620000 (P-1 stage 2)
B1 = 148384 (P-1 stage 1)
B1 = 119192 (P-1 stage 1)
B1 = 90000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-06-30T12:08:03+00:00