is 2 3393563 - 1
has 1021565 decimal digits
takes 0.356 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LA70604D89BB109C0double-checked
PRPDF57306625E2ACD7verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26817.564167.6471%10000001273135501.20037.6191%18.764470.1121%2.4650%
PrimeNet2600.045363.3333%140002800000.00432.8462%0.049664.3770%1.0436%
GPU722641.048865.6250%180003200000.00521.7914%1.054166.2408%0.6158%
Difference+4+16.5153+2.0221%+982000+126993550+1.1951+5.8277%+17.7103+3.8713%+3.8713%

Known prime factors (1 factor, 72.4 bits, 0.00213376% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
339356362769832368511901567532272.411924836703613752
23 × 3 × 38534862650573
2021-03-01838534862650573366.73319,731597,169

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-11T19:26:00Carsten Kossendeydurandal15000206250---0.004--0.811%
2011-10-23T20:04:00harleeP4_260060000945000---0.016--1.890%
2014-07-04T02:22:00Jocelyn LaroucheManual testing7891378913---0.012--0.755%
2014-10-13T22:29:00Jocelyn LaroucheManual testing9782697826---0.015--0.859%
2015-10-28T13:11:42Squeeky_SquirrelP4_260016500043725006---0.060--3.310%
2016-07-29T03:15:59Jocelyn LaroucheManual testing60470843725006---0.123--3.904%
2022-03-16T19:11:55Jocelyn LaroucheManual testing1000000127313550---1.200--7.619%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-03-09T00:00:00ANONYMOUSv4_computers21260--0.045--
2009-03-25T20:44:00S485122USB-Z260261--0.045--
2011-08-19T23:18:00Grant McCrackenthumper261262--0.091--
2012-11-15T00:22:00GrunwalderGIMPManual testing21263--0.470--
2016-02-23T16:29:27Mark RoseManual testing262263--0.289--
2015-02-18T11:36:00VictordeHollanderManual testing263264--0.579--
2015-02-18T11:36:00VictordeHollanderManual testing264265--1.101--
2015-04-04T13:44:00Gordon SpenceManual testing265266--2.202--
2017-03-12T14:28:48Gordon SpenceManual testing266267--4.404--
2018-09-17T14:42:51TJAOIManual testing267268--8.808--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.491 GHz-days
Estimated T-Level:0.850
DigitsB1CurvesCompleteFacMiss
201100017 / 1000.17084.294%
255000017 / 2800.06194.099%

New Calculation Method

Total ECM effort:2.491 GHz-days
Estimated T-Level:0.850
DigitsB1CompleteFacMiss
20110000.54857.788%
25500000.05095.165%
302500000.00399.695%


ECM Summary

B1B2factorcurvesGHz-days
500005000000152.198
50000500000020.293


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-03-09T00:00:00ANONYMOUSv4_computersA70604D89BB109C00.356
1999-12-23T00:00:00ANONYMOUSv4_computersA70604D89BB109C00.356


PRP results:
dateuseridcompidcofactorsres64PRP
2021-03-01T15:39:48mrhlanai
6276983236851190156753
DF57306625E2ACD7no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 127313550 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 604708, B2 = 4372500 (P-1 stage 2)
B1 = 604708 (P-1 stage 1)
B1 = 165000, B2 = 4372500 (P-1 stage 2)
B1 = 165000 (P-1 stage 1)
B1 = 60000, B2 = 945000 (P-1 stage 2)
B1 = 97826 (P-1 stage 1)
B1 = 78913 (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: 2022-03-16T19:11:55+00:00