is 2 3688189 - 1
has 1110256 decimal digits
takes 0.387 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LA13DE3D33C925B7Edouble-checked
PRPD59C879918F2B091verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27064.788168.5714%300000006000000009.298110.3834%74.086271.8348%3.2633%
PrimeNet2600.041663.3333%160003200000.00503.0819%0.046664.4634%1.1300%
GPU722640.965165.6250%220004500000.00692.1044%0.972066.3484%0.7234%
Difference+6+63.8230+2.9464%+29978000+599550000+9.2912+8.2789%+73.1142+5.4864%+5.4864%

Known prime factors (1 factor, 75.1 bits, 0.00203514% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3688189393772577607886493636332375.0605338291741663544
23 × 67 × 71 × 140274641099
2021-11-29711402746410993,064.51,163.92,173.8

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-13T10:16:00Carsten Kossendeydurandal20000260000---0.005--0.723%
2012-02-18T05:36:00Squeeky_SquirrelP4_2600900001642500---0.027--1.880%
2016-07-09T02:37:05Jocelyn LaroucheManual testing9000032850006---0.040--2.216%
2016-12-26T21:22:48Jocelyn Larouchelow 4M108000108000---0.016--0.696%
2016-12-29T20:13:42Jocelyn Larouchelow 4M129600129600---0.020--0.776%
2017-01-30T01:31:02Jocelyn Larouchelow 4M167520167520---0.026--0.899%
2017-02-08T21:16:25Jocelyn Larouchelow 4M20102420102406---0.046--2.302%
2017-02-13T00:36:32Jocelyn Larouchelow 4M24122824122806---0.055--2.481%
2020-11-17T11:50:42axnManual testing3000000060000000012---9.298--10.383%
2022-03-04T04:18:42Jocelyn LaroucheManual testing9000090000---0.014--0.622%
2022-03-22T11:10:16Jocelyn LaroucheManual testing100000100000---0.015--0.664%
2022-05-25T14:13:23Jocelyn LaroucheManual testing100000130364850---1.096--4.369%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-05-23T00:00:00ANONYMOUSv4_computers21260--0.042--
2009-03-07T07:42:00S485122USB-Z260261--0.042--
2011-05-18T18:47:00Grant McCrackenthumper261262--0.083--
2012-06-05T02:32:00GrunwalderGIMPManual testing21263--0.433--
2016-02-23T16:29:36Mark RoseManual testing262263--0.266--
2015-01-25T20:42:00VictordeHollanderManual testing263264--0.532--
2015-01-25T20:42:00VictordeHollanderManual testing264265--1.013--
2015-10-20T08:54:41ramgeisManual testing265266--2.026--
2017-01-05T14:31:28Gordon SpenceManual testing266267--4.052--
2018-08-06T14:04:57TJAOIManual testing267268--8.105--
2020-10-28T01:27:29axnManual testing268269--16.21--
2020-10-28T01:27:29axnManual testing269270--32.42--


ECM factoring results:

Old Calculation Method

Total ECM effort:4.315 GHz-days
Estimated T-Level:1.400
DigitsB1CurvesCompleteFacMiss
201100028 / 1000.28075.472%
255000028 / 2800.10090.468%

New Calculation Method

Total ECM effort:4.315 GHz-days
Estimated T-Level:1.400
DigitsB1CompleteFacMiss
20110000.91939.900%
25500000.08392.026%
302500000.00599.489%


ECM Summary

B1B2factorcurvesGHz-days
500005000000192.830
50000500000020.298
50000650000071.187


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-06-14T00:00:00ANONYMOUSv4_computersA13DE3D33C925B7E0.387
1999-08-16T00:00:00ANONYMOUSv4_computersA13DE3D33C925B7E0.387


PRP results:
dateuseridcompidcofactorsres64PRP
2021-12-06T10:08:27LaurVtrabi
39377257760788649363633
D59C879918F2B091no


P-1 factor-bounds graph:
B1 = 30000000, B2 = 600000000 (P-1 stage 2)
B1 = 30000000 (P-1 stage 1)
B1 = 100000, B2 = 130364850 (P-1 stage 2)
B1 = 241228, B2 = 2412280 (P-1 stage 2)
B1 = 201024, B2 = 2010240 (P-1 stage 2)
B1 = 90000, B2 = 3285000 (P-1 stage 2)
B1 = 241228 (P-1 stage 1)
B1 = 201024 (P-1 stage 1)
B1 = 90000, B2 = 1642500 (P-1 stage 2)
B1 = 167520 (P-1 stage 1)
B1 = 129600 (P-1 stage 1)
B1 = 108000 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 90000 (P-1 stage 1)
B1 = 20000, B2 = 260000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-05-25T14:13:23+00:00