is 2 3600221 - 1
has 1083775 decimal digits
takes 0.378 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-
PRPC00D1A538EE204C0verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27066.371168.5714%30000000100000000012.617011.0991%78.988172.0597%3.4883%
PrimeNet2600.042763.3333%150003000000.00462.9752%0.047364.4242%1.0909%
GPU722640.988665.6250%200004000000.00621.9805%0.994866.3058%0.6808%
Difference+6+65.3825+2.9464%+29980000+999600000+12.6108+9.1186%+77.9932+5.7539%+5.7539%

Known prime factors (1 factor, 81.6 bits, 0.00226562% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
360022135829709665097935472293112581.567497604309084052555
5 × 72 × 11 × 263 × 307 × 2286816089
2021-08-023072286816089215,37918.97435.438

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-03T21:43:00Carsten Kossendeyleela20000245000---0.005--0.706%
2011-11-20T06:21:00markrtiny2400006120000---0.085--3.069%
2020-05-18T17:46:05axnManual testing3000000060000000012---9.298--10.363%
2020-07-26T14:44:11axnManual testing30000000100000000012---12.62--11.099%
2022-03-04T19:29:57Jocelyn LaroucheManual testing9000090000---0.014--0.619%
2022-03-22T17:33:28Jocelyn LaroucheManual testing100000100000---0.015--0.661%
2022-05-24T23:56:29Jocelyn LaroucheManual testing100000130364850---1.096--4.355%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-07-17T00:00:00ANONYMOUSv4_computers21260--0.043--
2009-03-13T18:08:00S485122USB-Z260261--0.043--
2011-06-15T11:58:00markrManual testing21262--0.171--
2012-06-05T02:28:00GrunwalderGIMPManual testing21263--0.443--
2016-02-23T16:29:34Mark RoseManual testing262263--0.273--
2015-01-18T21:00:00VictordeHollanderManual testing263264--0.545--
2015-01-18T21:00:00VictordeHollanderManual testing264265--1.038--
2015-10-19T08:19:14ramgeisManual testing265266--2.076--
2016-12-21T02:23:30Gordon SpenceManual testing266267--4.151--
2019-02-13T05:38:54YxinityManual testing267268--8.303--
2020-10-17T10:00:58axnManual testing268269--16.61--
2020-11-13T18:03:46axnManual testing269270--33.21--


ECM factoring results:

Old Calculation Method

Total ECM effort:4.465 GHz-days
Estimated T-Level:1.450
DigitsB1CurvesCompleteFacMiss
201100029 / 1000.29074.717%
255000029 / 2800.10490.144%

New Calculation Method

Total ECM effort:4.465 GHz-days
Estimated T-Level:1.450
DigitsB1CompleteFacMiss
20110001.13832.052%
25500000.10590.013%
302500000.00799.337%


ECM Summary

B1B2factorcurvesGHz-days
500005000000223.261
50000675000071.204


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-27T00:00:00ANONYMOUSv4_computers01A7B7A5E661B4__0.378


PRP results:
dateuseridcompidcofactorsres64PRP
2021-08-03T17:59:37kutenssol
3582970966509793547229311
C00D1A538EE204C0no


P-1 factor-bounds graph:
B1 = 30000000, B2 = 1000000000 (P-1 stage 2)
B1 = 30000000, B2 = 600000000 (P-1 stage 2)
B1 = 30000000 (P-1 stage 1)
B1 = 100000, B2 = 130364850 (P-1 stage 2)
B1 = 240000, B2 = 6120000 (P-1 stage 2)
B1 = 240000 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 90000 (P-1 stage 1)
B1 = 20000, B2 = 245000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
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TF factor-bounds graph:
270
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268
267
266
265
264
263
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261
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2100
Last modified: 2022-05-24T23:56:29+00:00