is 2 3450593 - 1
has 1038732 decimal digits
takes 0.362 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP34F88A050D1299F4verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26934.598968.1159%10000001266688501.19506.9947%35.793970.3462%2.2302%
PrimeNet2600.044563.3333%150002800000.00452.9015%0.049064.3972%1.0639%
GPU722641.031565.6250%190003400000.00561.8548%1.037166.2626%0.6376%
Difference+5+33.5674+2.4909%+981000+126328850+1.1894+5.1399%+34.7568+4.0836%+4.0836%

Known prime factors (1 factor, 78.3 bits, 0.00226930% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
34505933731699961829939170980392478.30454073313801858683
54073313801858683
2021-06-2415407331380185868331,730448,656,799837,965,958

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-08-15T21:08:00Carsten Kossendeydurandal20000235000---0.005--0.805%
2011-11-05T07:42:00harleeP4_260060000945000---0.016--1.665%
2014-08-21T21:46:00Jocelyn LaroucheManual testing7860178601---0.012--0.653%
2014-09-20T06:26:00HBendtzHAL900750000010000000---0.155--4.162%
2022-04-10T23:56:41Jocelyn LaroucheManual testing1000000126668850---1.195--6.995%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2009-03-22T09:53:00S485122USB-A260261--0.045--
2011-07-31T08:41:00markrManual testing21262--0.178--
2012-08-18T15:34:00GrunwalderGIMPManual testing21263--0.463--
2016-02-23T16:29:30Mark RoseManual testing262263--0.284--
2015-02-07T18:04:00VictordeHollanderManual testing263264--0.569--
2015-02-07T18:04:00VictordeHollanderManual testing264265--1.083--
2015-04-16T22:33:00Gordon SpenceManual testing265266--2.166--
2017-02-09T04:36:21Gordon SpenceManual testing266267--4.331--
2019-02-18T10:31:22TJAOIManual testing267268--8.663--
2021-01-05T01:49:28axnManual testing268269--17.33--


ECM factoring results:

Old Calculation Method

Total ECM effort:4.406 GHz-days
Estimated T-Level:1.500
DigitsB1CurvesCompleteFacMiss
201100030 / 1000.30073.970%
255000030 / 2800.10789.823%

New Calculation Method

Total ECM effort:4.406 GHz-days
Estimated T-Level:1.500
DigitsB1CompleteFacMiss
20110001.15731.441%
25500000.10789.886%
302500000.00799.330%


ECM Summary

B1B2factorcurvesGHz-days
50000470000071.001
500005000000223.234
50000680000010.171


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-27T00:00:00ANONYMOUSv4_computers4D13B982F0C410__0.362


PRP results:
dateuseridcompidcofactorsres64PRP
2021-06-25T08:37:58tottenhoff2018pc
373169996182993917098039
34F88A050D1299F4no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 126668850 (P-1 stage 2)
B1 = 500000, B2 = 10000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 60000, B2 = 945000 (P-1 stage 2)
B1 = 78601 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 20000, B2 = 235000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-04-10T23:56:41+00:00