is 2 3385747 - 1
has 1019212 decimal digits
takes 0.356 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
1 primality tests remaining
ResidueStatus
L-LD8C72DE7DF020A4Bdouble-checked
PRP34A01C487B5734__
unverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26817.604667.6471%40000001500000001.82068.8077%19.425270.4966%2.8495%
PrimeNet2600.045463.3333%140002800000.00432.8451%0.049764.3765%1.0432%
GPU722641.051365.6250%180003200000.00521.7906%1.056566.2405%0.6155%
Difference+4+16.5534+2.0221%+3982000+149680000+1.8153+7.0171%+18.3687+4.2561%+4.2561%

Known prime factors (1 factor, 93.1 bits, 0.00274835% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3385747102676512434187581509293264412993.0521516305152661843627260
22 × 5 × 1151 × 2287 × 2494463 × 11546173
2021-05-28249446311546173802,781,9390.45500.7731

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-10T06:11:00Carsten Kossendeydurandal15000206250---0.004--0.811%
2011-10-21T19:05:00harleeP4_260060000930000---0.016--1.881%
2014-07-04T02:22:00Jocelyn LaroucheManual testing7895778957---0.012--0.755%
2014-10-13T22:29:00Jocelyn LaroucheManual testing9791497914---0.015--0.859%
2015-09-20T21:18:00Squeeky_SquirrelP4_26001550004030000---0.056--3.217%
2017-03-31T00:48:08Jocelyn Larouchelow 4M31000031000006---0.070--3.353%
2021-05-28T07:23:03mikrMSI4000000150000000122993.0521.8210.7113.6418.808%
2022-02-25T17:22:03Jocelyn LaroucheManual testing200000200000---0.030--1.270%
2022-04-09T09:24:11Jocelyn LaroucheManual testing10000001000000---0.152--2.570%
2022-04-10T15:21:20Jocelyn LaroucheManual testing1000000126668850---1.195--7.612%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-03-17T00:00:00ANONYMOUSv4_computers21260--0.045--
2009-03-25T20:44:00S485122USB-A260261--0.045--
2011-09-12T03:12:00Grant McCrackenhome261262--0.091--
2012-11-15T00:22:00GrunwalderGIMPManual testing21263--0.471--
2016-02-23T16:29:27Mark RoseManual testing262263--0.290--
2015-02-15T12:50:00VictordeHollanderManual testing263264--0.580--
2015-02-15T12:50:00VictordeHollanderManual testing264265--1.104--
2015-04-02T13:03:00Gordon SpenceManual testing265266--2.207--
2017-03-10T14:13:05Gordon SpenceManual testing266267--4.414--
2018-10-01T11:53:17TJAOIManual testing267268--8.828--


ECM factoring results:

Old Calculation Method

Total ECM effort:5.273 GHz-days
Estimated T-Level:1.800
DigitsB1CurvesCompleteFacMiss
201100036 / 1000.36069.641%
255000036 / 2800.12987.915%

New Calculation Method

Total ECM effort:5.273 GHz-days
Estimated T-Level:1.800
DigitsB1CompleteFacMiss
20110001.16131.308%
25500000.10590.036%
302500000.00699.356%


ECM Summary

B1B2factorcurvesGHz-days
500005000000365.273


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-09-06T00:00:00ANONYMOUSv4_computersD8C72DE7DF020A4B0.356
1999-07-12T00:00:00MadPoov4_computersD8C72DE7DF020A4B0.356


PRP results:
dateuseridcompidcofactorsres64PRP
2021-05-30T09:40:21A child prodigy in mathsmath_child_prodigy
10267651243418758150929326441
34A01C487B5734__no
2021-07-01T22:07:16marssystemssystem11
10267651243418758150929326441
34A01C487B57340Eno


P-1 factor-bounds graph:
B1 = 4000000, B2 = 150000000 (P-1 stage 2)
B1 = 1000000, B2 = 126668850 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 310000, B2 = 3100000 (P-1 stage 2)
B1 = 155000, B2 = 4030000 (P-1 stage 2)
B1 = 310000 (P-1 stage 1)
B1 = 200000 (P-1 stage 1)
B1 = 155000 (P-1 stage 1)
B1 = 60000, B2 = 930000 (P-1 stage 2)
B1 = 97914 (P-1 stage 1)
B1 = 78957 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 15000, B2 = 206250 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-04-10T15:21:20+00:00