is 2 3445643 - 1
has 1037242 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-
PRP6C25947049AB06CCverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26934.648668.1159%50000002000000002.37948.6475%37.028070.8731%2.7572%
PrimeNet2600.044663.3333%150002800000.00452.9007%0.049164.3969%1.0636%
GPU722641.033065.6250%190003400000.00561.8543%1.038666.2624%0.6374%
Difference+5+33.6156+2.4909%+4981000+199660000+2.3738+6.7932%+35.9895+4.6107%+4.6107%

Known prime factors (1 factor, 90.6 bits, 0.00262972% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
344564318905534297844231534359390232890.611274339713920511085077
3 × 7 × 11 × 19 × 2777 × 469031 × 47989439
2021-07-194690314798943998,241,1050.46570.7437

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-06T10:59:00Carsten Kossendeyleela15000210000---0.004--0.699%
2011-11-04T04:01:00harleeP4_260060000945000---0.016--1.665%
2014-07-18T01:20:00Jocelyn LaroucheManual testing7862878628---0.012--0.653%
2014-09-19T04:03:00HBendtzHAL900750000010000000---0.155--4.162%
2021-06-09T21:07:39mognutsManual testing100000030000000---0.393--5.546%
2021-07-19T19:23:21mikrMSI5000000200000000122890.6112.3790.7244.7598.648%
2022-04-10T23:56:40Jocelyn LaroucheManual testing1000000126668850-
skipped known factor: 1890553429784423153435939023
--1.195--6.994%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2009-03-22T09:53:00S485122USB-Z260261--0.045--
2011-08-05T21:27:00markrManual testing21262--0.178--
2012-08-18T15:34:00GrunwalderGIMPManual testing21263--0.463--
2016-02-23T16:29:30Mark RoseManual testing262263--0.285--
2015-02-07T18:04:00VictordeHollanderManual testing263264--0.570--
2015-02-07T18:04:00VictordeHollanderManual testing264265--1.084--
2015-04-16T08:55:00Gordon SpenceManual testing265266--2.169--
2017-02-06T16:31:38Gordon SpenceManual testing266267--4.338--
2018-07-23T16:23:38TJAOIManual testing267268--8.675--
2021-01-04T01:35:42axnManual testing268269--17.35--


ECM factoring results:

Old Calculation Method

Total ECM effort:5.291 GHz-days
Estimated T-Level:1.800
DigitsB1CurvesCompleteFacMiss
201100036 / 1000.36069.641%
255000036 / 2800.12987.915%

New Calculation Method

Total ECM effort:5.291 GHz-days
Estimated T-Level:1.800
DigitsB1CompleteFacMiss
20110001.16131.308%
25500000.10590.036%
302500000.00699.356%


ECM Summary

B1B2factorcurvesGHz-days
500005000000365.291


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-12T00:00:00TobyLLv4_computers445EC75AB93FF3__0.362


PRP results:
dateuseridcompidcofactorsres64PRP
2021-07-19T20:43:05SRJ2877LTOS
1890553429784423153435939023
6C25947049AB06CCno


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 = 1000000, B2 = 30000000 (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 = 78628 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 15000, B2 = 210000 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-04-10T23:56:40+00:00