is 2 2906723 - 1
has 875011 decimal digits
takes 0.225 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L86C80CDED5F00C6Adouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26941.072668.1159%50000002000000001.74988.5108%42.822470.8295%2.7136%
PrimeNet2590.026462.7119%130002400000.00283.0034%0.029363.8318%1.1199%
GPU722630.549165.0794%160003000000.00351.9098%0.552665.7463%0.6669%
Difference+6+40.5236+3.0366%+4984000+199700000+1.7463+6.6010%+42.2698+5.0832%+5.0832%

Known prime factors:
No known factors for M2906723

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-12-02T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.198%
2009-08-13T12:59:00Carsten Kossendeydurandal15000168750---0.003--0.628%
2010-12-24T02:50:00Jocelyn LaroucheManual testing2000020000---0.002--0.229%
2011-01-28T17:53:00markrtiny1050002283750---0.025--2.292%
2015-04-25T17:32:00VictordeHollanderManual testing100000020000000---0.228--5.047%
2020-03-23T02:09:32masserManual testing500000020000000012---1.750--8.511%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:24Mark RoseManual testing21260--0.053--
2009-02-14T18:22:00Sturle Sundeklughardt.ifi260261--0.053--
2011-12-12T10:26:00Grant McCrackenthumper261262--0.106--
2013-01-07T13:47:00dbaughManual testing262263--0.338--
2015-04-25T17:15:00VictordeHollanderManual testing263264--0.675--
2015-04-25T17:15:00VictordeHollanderManual testing264265--1.285--
2016-02-22T09:35:50ramgeisManual testing265266--2.571--
2017-11-19T23:57:48Gordon SpenceManual testing266267--5.142--
2018-12-17T01:16:49chuenkitManual testing267268--10.28--
2021-06-07T10:35:36TJAOIManual testing268269--20.57--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.964 GHz-days
Estimated T-Level:22.000
DigitsB1CurvesCompleteFacMiss
2011000112 / 1001.12032.445%
2550000112 / 2800.40066.984%

New Calculation Method

Total ECM effort:11.964 GHz-days
Estimated T-Level:22.000
DigitsB1CompleteFacMiss
20110004.3531.287%
25500000.40366.857%
302500000.02597.489%
3510000000.00199.881%


ECM Summary

B1B2factorcurvesGHz-days
5000050000009810.27
50000645000070.827
50000705000070.865


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-06T00:00:00ANONYMOUSv4_computers86C80CDED5F00C6A0.225
2018-10-01T20:26:23kkmrkkblmbrbkold86C80CDED5F00C6A0.225


PRP results:
No PRP results for M2906723


P-1 factor-bounds graph:
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 1000000, B2 = 20000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 105000, B2 = 2283750 (P-1 stage 2)
B1 = 105000 (P-1 stage 1)
B1 = 15000, B2 = 168750 (P-1 stage 2)
B1 = 20000 (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: 2022-04-05T07:36:16+00:00