is 2 2023117 - 1
has 609019 decimal digits
takes 0.133 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LBFC6821DEC8BBFACdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26959.011369.5652%100000003000000002.45979.1240%61.471072.3421%2.7769%
PrimeNet2580.019063.7931%90001500000.00162.6127%0.020664.7391%0.9460%
GPU722620.303766.1290%80001200000.00131.2737%0.305066.5605%0.4314%
Difference+7+58.7076+3.4362%+9992000+299880000+2.4584+7.8502%+61.1660+5.7816%+5.7816%

Known prime factors:
No known factors for M2023117

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-04-28T00:00:00Jocelyn Larouchev4_computers20002000---0.000--0.013%
2003-01-09T00:00:00ANONYMOUSv4_computers25000412500---0.004--0.930%
2010-12-10T00:56:00Jocelyn LaroucheManual testing202311202311---0.019--1.026%
2013-10-21T01:18:00David Campeaui5-2500k58000015080000---0.131--4.307%
2019-03-13T17:18:51mikrMSI400000020000000012---1.399--8.088%
2020-10-17T01:53:41Bruno VictalManual testing10000000300000000---2.460--9.124%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-02T00:00:00ANONYMOUSv4_computers21258--0.019--
2016-02-23T16:29:03Mark RoseManual testing258260--0.057--
2009-01-02T15:27:00Sturle Sundefoster.ifi260261--0.076--
2012-02-05T16:47:00Sebastian HornbostelManual testing261262--0.152--
2013-02-11T20:23:00dbaughManual testing262263--0.485--
2015-04-10T15:56:00VictordeHollanderManual testing263264--0.970--
2015-04-10T15:56:00VictordeHollanderManual testing264265--1.847--
2015-10-28T09:42:38ramgeisManual testing265266--3.694--
2016-07-02T13:21:35Gordon SpenceManual testing266267--7.387--
2019-03-18T03:51:01chuenkitManual testing267268--14.77--
2021-09-02T11:44:08TJAOIManual testing268269--29.55--


ECM factoring results:

Old Calculation Method

Total ECM effort:17.324 GHz-days
Estimated T-Level:23.571
DigitsB1CurvesCompleteFacMiss
2011000200 / 1002.00013.398%
2550000200 / 2800.71448.892%

New Calculation Method

Total ECM effort:17.324 GHz-days
Estimated T-Level:23.571
DigitsB1CompleteFacMiss
20110007.7760.042%
25500000.72148.646%
302500000.04695.542%
3510000000.00299.786%


ECM Summary

B1B2factorcurvesGHz-days
50000500000017815.08
50000579045470.631
500006750000141.354
766202695435010.262


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15T00:00:00ANONYMOUSv4_computersBFC6821DEC8BBFAC0.133


PRP results:
No PRP results for M2023117


P-1 factor-bounds graph:
B1 = 10000000, B2 = 300000000 (P-1 stage 2)
B1 = 4000000, B2 = 200000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 4000000 (P-1 stage 1)
B1 = 580000, B2 = 15080000 (P-1 stage 2)
B1 = 580000 (P-1 stage 1)
B1 = 202311 (P-1 stage 1)
B1 = 25000, B2 = 412500 (P-1 stage 2)
B1 = 25000 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-09-02T11:44:08+00:00