is 2 3239947 - 1
has 975322 decimal digits
takes 0.276 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LA9FFB792295ED56Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26818.396967.6471%40000001500000001.47538.7712%19.872270.4848%2.8377%
PrimeNet2600.047463.3333%140002600000.00342.7693%0.050864.3488%1.0154%
GPU722641.098665.6250%160002800000.00371.6539%1.102366.1935%0.5685%
Difference+4+17.2983+2.0221%+3984000+149720000+1.4716+7.1173%+18.7699+4.2913%+4.2913%

Known prime factors (2 factors, 190.4 bits, 0.00587573% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
323994772733691957619904373817859512892.5551122451878960055586925
32 × 52 × 349 × 4937 × 206939 × 13991179
2020-05-3020693913991179509,576,1330.11820.1757
32399472789571193592478228819190050493097.81643049642379836432954292
22 × 32 × 7 × 31 × 196769 × 1665997 × 16810337
2020-05-301665997168103371.945e+100.30740.4184

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
323994720289581188860539107114821314603290683145457244606
06266599
58190.371
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-03T21:40:00Carsten Kossendeydurandal15000191250---0.003--0.784%
2011-09-08T17:21:00harleeP4_260055000866250---0.012--1.796%
2013-09-05T07:22:00Squeeky_SquirrelT7500_22001150002587500---0.031--2.747%
2017-01-12T03:13:43Jocelyn Larouchelow 4M138000138000---0.017--1.036%
2017-01-17T05:18:34Squeeky_SquirrelP4_2600205000584250012---0.063--3.621%
2017-01-30T01:30:42Jocelyn Larouchelow 4M165600165600---0.020--1.143%
2017-02-04T18:42:52Jocelyn Larouchelow 4M198720198720---0.025--1.256%
2018-08-06T19:37:26Jocelyn Larouchelow 4M410000820000---0.053--2.333%
2018-08-07T17:09:27Jocelyn Larouchelow 4M4100001230000---0.056--2.666%
2018-08-08T00:41:55Jocelyn Larouchelow 4M4100001640000---0.059--2.904%
2018-08-08T12:55:42Jocelyn Larouchelow 4M4100002050000---0.062--3.090%
2018-08-08T23:04:21Jocelyn Larouchelow 4M4100002460000---0.064--3.244%
2018-08-11T10:43:51Jocelyn Larouchelow 4M4100004100000---0.075--3.677%
2020-05-30T18:38:00mikrMSI40000001500000001258190.3711.4750.5522.9518.771%
2021-01-16T04:02:55Jocelyn LaroucheManual testing43000032399476---0.072--3.494%
2021-01-17T23:14:15Jocelyn LaroucheManual testing43000064798946---0.094--4.094%
2022-01-02T21:53:15Jocelyn LaroucheManual testing32399473239947---0.400--3.824%
2022-01-03T11:28:02Jocelyn LaroucheManual testing3239947116701200-
skipped known factor: 7273369195761990437381785951
skipped known factor: 278957119359247822881919005049
--1.163--8.323%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-08-18T00:00:00ANONYMOUSv4_computers21260--0.047--
2009-04-04T07:04:00S485122USB-Z260261--0.047--
2011-07-25T03:49:00Carsten KossendeyManual testing261262--0.095--
2012-12-30T00:01:00dbaughManual testing262263--0.303--
2015-02-18T11:40:00VictordeHollanderManual testing263264--0.606--
2015-02-18T11:40:00VictordeHollanderManual testing264265--1.153--
2015-06-24T21:57:00ThaManual testing265266--2.306--
2021-02-21T11:36:42Jocelyn LaroucheManual testing265266--2.306--
2021-02-22T09:03:45Jocelyn LaroucheManual testing266267--4.613--
2017-03-26T03:14:48Gordon SpenceManual testing266267--4.613--
2018-11-19T15:52:51TJAOIManual testing267268--9.226--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.766 GHz-days
Estimated T-Level:0.750
DigitsB1CurvesCompleteFacMiss
201100015 / 1000.15086.006%
255000015 / 2800.05494.775%

New Calculation Method

Total ECM effort:1.766 GHz-days
Estimated T-Level:0.750
DigitsB1CompleteFacMiss
20110000.48461.639%
25500000.04495.721%
302500000.00399.731%


ECM Summary

B1B2factorcurvesGHz-days
500005000000151.766


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-02-12T00:00:00Vassilov4_computersA9FFB792295ED56D0.276
1999-09-14T00:00:00ANONYMOUSv4_computersA9FFB792295ED56D0.276


PRP results:
dateuseridcompidcofactorsres64PRP
2020-05-30T19:29:05mnd975211backdoor
7273369195761990437381785951
278957119359247822881919005049
E5A6BC7E5D2B2B33no
2020-05-30T19:47:05ATHec2-PRPCF
7273369195761990437381785951
278957119359247822881919005049
E5A6BC7E5D2B2B33no
2020-05-30T20:15:05mikrMSI
7273369195761990437381785951
278957119359247822881919005049
E5A6BC7E5D2B2B33no


P-1 factor-bounds graph:
B1 = 4000000, B2 = 150000000 (P-1 stage 2)
B1 = 3239947, B2 = 116701200 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 3239947 (P-1 stage 1)
B1 = 430000, B2 = 6479894 (P-1 stage 2)
B1 = 410000, B2 = 4100000 (P-1 stage 2)
B1 = 430000, B2 = 3239947 (P-1 stage 2)
B1 = 410000, B2 = 2460000 (P-1 stage 2)
B1 = 205000, B2 = 5842500 (P-1 stage 2)
B1 = 410000, B2 = 2050000 (P-1 stage 2)
B1 = 410000, B2 = 1640000 (P-1 stage 2)
B1 = 410000, B2 = 1230000 (P-1 stage 2)
B1 = 410000, B2 = 820000 (P-1 stage 2)
B1 = 430000 (P-1 stage 1)
B1 = 410000 (P-1 stage 1)
B1 = 115000, B2 = 2587500 (P-1 stage 2)
B1 = 205000 (P-1 stage 1)
B1 = 198720 (P-1 stage 1)
B1 = 165600 (P-1 stage 1)
B1 = 138000 (P-1 stage 1)
B1 = 115000 (P-1 stage 1)
B1 = 55000, B2 = 866250 (P-1 stage 2)
B1 = 55000 (P-1 stage 1)
B1 = 15000, B2 = 191250 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-01-03T11:28:02+00:00