is 2 3689617 - 1
has 1110686 decimal digits
takes 0.388 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LCC11624ACBF09717double-checked
PRP808FE3B71D6237BFverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27064.763068.5714%300000006000000009.298110.3837%74.061171.8349%3.2634%
PrimeNet2600.041663.3333%160003200000.00503.0821%0.046664.4635%1.1301%
GPU722640.964765.6250%220004500000.00692.1046%0.971666.3484%0.7234%
Difference+6+63.7983+2.9464%+29978000+599550000+9.2912+8.2791%+73.0895+5.4864%+5.4864%

Known prime factors (1 factor, 89.3 bits, 0.00241991% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
36896177543321221467343206058761932789.285102223634884966965488
24 × 6388977180310435343
2021-07-1216638897718031043534363,163,8415.301e+109.901e+10

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-13T10:17:00Carsten Kossendeydurandal20000260000---0.005--0.723%
2012-03-23T03:47:00Squeeky_SquirrelP4_2600900001665000---0.027--1.887%
2016-07-09T02:37:06Jocelyn LaroucheManual testing9000033300006---0.041--2.223%
2016-12-26T21:22:48Jocelyn Larouchelow 4M108000108000---0.016--0.696%
2016-12-29T20:13:43Jocelyn Larouchelow 4M129600129600---0.020--0.776%
2017-01-19T17:19:08Jocelyn Larouchelow 4M155520155520---0.024--0.862%
2017-02-04T18:42:36Jocelyn Larouchelow 4M186624186624---0.028--0.954%
2017-02-08T21:16:25Jocelyn Larouchelow 4M22394822394806---0.051--2.407%
2018-01-07T13:28:08Jocelyn Larouchelow 4M36896173689617---0.562--3.335%
2018-02-01T03:05:43kkmrkkblmbrbkc4.large40000008000000012---1.240--6.849%
2018-03-29T01:04:28Jocelyn Larouchelow 4M368961773792346---0.593--4.107%
2020-11-21T02:36:25axnManual testing3000000060000000012---9.298--10.384%
2022-03-04T04:18:42Jocelyn LaroucheManual testing9000090000---0.014--0.622%
2022-03-22T17:35:36Jocelyn LaroucheManual testing100000100000---0.015--0.664%
2022-05-24T23:56:13Jocelyn LaroucheManual testing100000130364850---1.096--4.369%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-09-13T00:00:00ANONYMOUSv4_computers21260--0.042--
2009-03-06T05:55:00S485122USB-Z260261--0.042--
2011-05-20T09:17:00Grant 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--
2015-10-20T08:54:42ramgeisManual testing265266--2.025--
2017-01-05T14:31:29Gordon SpenceManual testing266267--4.051--
2018-07-30T10:36:13TJAOIManual testing267268--8.101--
2020-10-29T01:52:48axnManual testing268269--16.20--
2020-10-29T01:52:48axnManual testing269270--32.41--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.482 GHz-days
Estimated T-Level:0.800
DigitsB1CurvesCompleteFacMiss
201100016 / 1000.16085.146%
255000016 / 2800.05794.436%

New Calculation Method

Total ECM effort:2.482 GHz-days
Estimated T-Level:0.800
DigitsB1CompleteFacMiss
20110000.62853.355%
25500000.05894.351%
302500000.00499.633%


ECM Summary

B1B2factorcurvesGHz-days
500005000000121.788
50000680000040.695


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-10-11T00:00:00ANONYMOUSv4_computersCC11624ACBF097170.388
1999-09-14T00:00:00ANONYMOUSv4_computersCC11624ACBF097170.388


PRP results:
dateuseridcompidcofactorsres64PRP
2021-07-13T12:28:56kutenssol
754332122146734320605876193
808FE3B71D6237BFno


P-1 factor-bounds graph:
B1 = 30000000, B2 = 600000000 (P-1 stage 2)
B1 = 30000000 (P-1 stage 1)
B1 = 4000000, B2 = 80000000 (P-1 stage 2)
B1 = 100000, B2 = 130364850 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 3689617, B2 = 7379234 (P-1 stage 2)
B1 = 3689617 (P-1 stage 1)
B1 = 223948, B2 = 2239480 (P-1 stage 2)
B1 = 90000, B2 = 3330000 (P-1 stage 2)
B1 = 223948 (P-1 stage 1)
B1 = 186624 (P-1 stage 1)
B1 = 90000, B2 = 1665000 (P-1 stage 2)
B1 = 155520 (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: 2022-05-24T23:56:13+00:00