is 2 3655937 - 1
has 1100547 decimal digits
takes 0.384 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-
PRPAE1B8B0AAB8ED2BAverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27065.359668.5714%300000006000000009.298110.3761%74.657771.8325%3.2610%
PrimeNet2600.042063.3333%160003200000.00503.0773%0.047064.4617%1.1283%
GPU722640.973665.6250%220004000000.00652.0368%0.980166.3252%0.7002%
Difference+6+64.3860+2.9464%+29978000+599600000+9.2916+8.3392%+73.6777+5.5073%+5.5073%

Known prime factors (1 factor, 77.4 bits, 0.00211640% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
36559371958590298302179649924012477.37426786433933382600
23 × 52 × 179 × 748224411547
2021-09-061797482244115479,097.06,208.211,595

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-07T17:49:00Carsten Kossendeyleela20000250000---0.005--0.713%
2012-01-31T17:57:00Squeeky_SquirrelP4_2600900001642500---0.027--1.877%
2016-06-14T05:02:32Jocelyn LaroucheManual testing10800032850006---0.043--2.306%
2016-12-29T20:13:47Jocelyn Larouchelow 4M129600129600---0.020--0.775%
2017-01-30T01:30:53Jocelyn Larouchelow 4M167520167520---0.026--0.897%
2017-03-07T20:00:42Jocelyn Larouchelow 4M24122824122806---0.055--2.478%
2017-03-11T14:04:11Squeeky_SquirrelP4_2600230000678500012---0.089--3.122%
2020-09-15T02:03:43axnManual testing3000000060000000012---9.298--10.376%
2022-03-04T04:19:04Jocelyn LaroucheManual testing9000090000---0.014--0.621%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-05-01T00:00:00Hans-Martin Angerv4_computers21259--0.021--
2016-02-23T16:29:35Mark RoseManual testing259260--0.021--
2009-03-09T16:55:00S485122USB-Z260261--0.042--
2011-05-11T17:52:00markroldgamer261262--0.084--
2012-06-05T02:30:00GrunwalderGIMPManual testing21263--0.437--
2016-02-23T16:29:35Mark RoseManual testing262263--0.269--
2015-01-23T13:17:00VictordeHollanderManual testing263264--0.537--
2015-01-23T13:17:00VictordeHollanderManual testing264265--1.022--
2015-10-20T08:54:38ramgeisManual testing265266--2.044--
2016-12-30T23:58:44Gordon SpenceManual testing266267--4.088--
2019-01-21T12:54:03TJAOIManual testing267268--8.176--
2020-11-09T01:39:41axnManual testing268269--16.35--
2020-11-19T18:07:54axnManual testing269270--32.70--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.420 GHz-days
Estimated T-Level:1.150
DigitsB1CurvesCompleteFacMiss
201100023 / 1000.23079.361%
255000023 / 2800.08292.100%

New Calculation Method

Total ECM effort:3.420 GHz-days
Estimated T-Level:1.150
DigitsB1CompleteFacMiss
20110000.74247.619%
25500000.06793.514%
302500000.00499.588%


ECM Summary

B1B2factorcurvesGHz-days
500005000000223.271
50000500000010.149


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-09-14T00:00:00ANONYMOUSv4_computersD24D83C44AE8DA__0.384


PRP results:
dateuseridcompidcofactorsres64PRP
2021-09-12T16:01:40Yizhe Huangclb2
195859029830217964992401
AE1B8B0AAB8ED2BAno


P-1 factor-bounds graph:
B1 = 30000000, B2 = 600000000 (P-1 stage 2)
B1 = 30000000 (P-1 stage 1)
B1 = 230000, B2 = 6785000 (P-1 stage 2)
B1 = 241228, B2 = 2412280 (P-1 stage 2)
B1 = 108000, B2 = 3285000 (P-1 stage 2)
B1 = 241228 (P-1 stage 1)
B1 = 230000 (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 = 90000 (P-1 stage 1)
B1 = 20000, B2 = 250000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-03-04T04:19:04+00:00