is 2 2275327 - 1
has 684942 decimal digits
takes 0.150 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
1 primality tests remaining
ResidueStatus
L-LD50B71D6CBB11B5Edouble-checked
PRP3C2488DF71F0E4__
unverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26826.196267.6471%54432054432000.07733.8668%26.273568.8981%1.2510%
PrimeNet2580.016962.0690%100001900000.00192.9222%0.018863.1774%1.1084%
GPU722620.270064.5161%120001900000.00211.7085%0.272165.1224%0.6062%
Difference+6+25.9262+3.1309%+532320+5253200+0.0753+2.1583%+26.0014+3.7757%+3.7757%

Known prime factors (1 factor, 90.0 bits, 0.00395569% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
227532712420440301016396589053339512890.005272937478898997739425
3 × 52 × 19 × 191535072911577361
2020-12-1025191535072911577361194,283,108994,881,0521.858e+9

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-04-27T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.229%
2010-11-06T12:26:00Jocelyn LaroucheManual testing1500015000---0.001--0.200%
2010-11-14T13:24:00Jocelyn LaroucheManual testing3000030000---0.003--0.358%
2011-01-01T13:42:00markrtiny1050002152500---0.021--2.452%
2014-09-15T22:12:00ANONYMOUSManual testing133209133209---0.013--0.954%
2016-03-06T20:51:06Jocelyn LaroucheManual testing27216048988806---0.050--3.470%
2017-10-04T07:45:22Jocelyn Larouchelow 4M54432054432006---0.077--3.867%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:10Mark RoseManual testing21260--0.068--
2009-01-14T04:46:00Sturle Sundegnom.ifi260261--0.068--
2012-05-06T16:06:00Sebastian HornbostelManual testing261262--0.135--
2013-12-06T02:46:00Jerry HallettManual testing262263--0.431--
2015-03-10T10:45:00VictordeHollanderManual testing263264--0.863--
2015-03-10T10:45:00VictordeHollanderManual testing264265--1.642--
2015-10-31T16:44:12ramgeisManual testing265266--3.284--
2017-01-17T12:17:09ConductorManual testing266267--6.568--
2019-04-29T13:20:28TJAOIManual testing267268--13.14--


ECM factoring results:

Old Calculation Method

Total ECM effort:10.165 GHz-days
Estimated T-Level:22.107
DigitsB1CurvesCompleteFacMiss
2011000118 / 1001.18030.546%
2550000118 / 2800.42165.561%

New Calculation Method

Total ECM effort:10.165 GHz-days
Estimated T-Level:22.107
DigitsB1CompleteFacMiss
20110004.5431.064%
25500000.42165.664%
302500000.02797.380%
3510000000.00199.876%


ECM Summary

B1B2factorcurvesGHz-days
5000050000001149.80
50000500000030.258
60000600000010.103


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-01T00:00:00ANONYMOUSv4_computersD50B71D6CBB11B5E0.150
2018-04-26T19:41:54kkmrkkblmbrbkoldD50B71D6CBB11B5E0.150


PRP results:
dateuseridcompidcofactorsres64PRP
2020-12-12T21:31:08kotenok2000shodan1
1242044030101639658905333951
3C2488DF71F0E4D9no
2020-12-22T22:54:15Sébastien BrouckePortable_Seb
1242044030101639658905333951
3C2488DF71F0E4D9no


P-1 factor-bounds graph:
B1 = 544320, B2 = 5443200 (P-1 stage 2)
B1 = 544320 (P-1 stage 1)
B1 = 272160, B2 = 4898880 (P-1 stage 2)
B1 = 272160 (P-1 stage 1)
B1 = 105000, B2 = 2152500 (P-1 stage 2)
B1 = 133209 (P-1 stage 1)
B1 = 105000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2020-12-22T22:54:15+00:00