is 2 3452809 - 1
has 1039400 decimal digits
takes 0.363 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
1 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRPC49637DD724EC3__verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26934.576768.1159%50000002000000002.37948.6492%36.956170.8737%2.7577%
PrimeNet2600.044563.3333%150002800000.00452.9018%0.049064.3973%1.0640%
GPU722641.030965.6250%190003400000.00561.8550%1.036466.2627%0.6377%
Difference+5+33.5459+2.4909%+4981000+199660000+2.3738+6.7942%+35.9197+4.6110%+4.6110%

Known prime factors (1 factor, 96.2 bits, 0.00278749% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3452809939978432963263950298966585212996.24713611793078668179304140
22 × 5 × 7 × 11 × 567257 × 2039491 × 7639993
2021-09-07203949176399937.746e+90.35710.6321

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-08-15T23:39:00Carsten Kossendeydurandal20000235000---0.005--0.806%
2011-11-05T19:14:00harleeP4_260060000945000---0.016--1.666%
2014-08-21T21:46:00Jocelyn LaroucheManual testing7858978589---0.012--0.653%
2014-09-20T21:34:00HBendtzHAL900750000010000000---0.155--4.163%
2021-09-07T15:01:42mikrMSI5000000200000000122996.2472.3790.7254.7598.649%
2022-04-10T23:56:41Jocelyn LaroucheManual testing1000000126668850---1.195--6.995%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-06-26T00:00:00ANONYMOUSv4_computers21260--0.044--
2009-03-21T17:09:00S485122USB-Z260261--0.044--
2011-07-31T08:42:00markrManual testing21262--0.178--
2012-08-18T15:34:00GrunwalderGIMPManual testing21263--0.462--
2016-02-23T16:29:30Mark RoseManual testing262263--0.284--
2015-02-07T18:04:00VictordeHollanderManual testing263264--0.569--
2015-02-07T18:04:00VictordeHollanderManual testing264265--1.082--
2015-04-17T10:12:00Gordon SpenceManual testing265266--2.164--
2017-02-20T16:19:37Gordon SpenceManual testing266267--4.328--
2019-02-18T10:31:21TJAOIManual testing267268--8.657--
2021-01-05T05:53:58axnManual testing268269--17.31--


ECM factoring results:

Old Calculation Method

Total ECM effort:6.322 GHz-days
Estimated T-Level:2.150
DigitsB1CurvesCompleteFacMiss
201100043 / 1000.43064.910%
255000043 / 2800.15485.740%

New Calculation Method

Total ECM effort:6.322 GHz-days
Estimated T-Level:2.150
DigitsB1CompleteFacMiss
20110001.38724.980%
25500000.12588.218%
302500000.00899.231%


ECM Summary

B1B2factorcurvesGHz-days
500005000000436.322


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-27T00:00:00ANONYMOUSv4_computers95850458C64358__0.363


PRP results:
dateuseridcompidcofactorsres64PRP
2021-09-12T19:29:17oodairacom1
93997843296326395029896658521
C49637DD724EC3__no


P-1 factor-bounds graph:
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 1000000, B2 = 126668850 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
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 = 78589 (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