is 2 3161647 - 1
has 951751 decimal digits
takes 0.269 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-
PRP7519DC667C183036verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26818.852567.6471%30000001000000001.02248.0635%19.874970.2558%2.6088%
PrimeNet2600.048663.3333%130002400000.00312.6516%0.051764.3056%0.9723%
GPU722641.125865.6250%150002600000.00351.5811%1.129366.1685%0.5435%
Difference+4+17.7267+2.0221%+2985000+99740000+1.0189+6.4824%+18.7456+4.0873%+4.0873%

Known prime factors (1 factor, 77.2 bits, 0.00244247% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
31616471762754808387970506620872477.22227877160359584269
113 × 293 × 841981345241
2021-02-2729384198134524113,6395,661.310,574

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2004-02-07T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.251%
2009-07-03T00:41:00Carsten Kossendeyleela15000191250---0.003--0.780%
2011-09-09T00:10:00Squeeky_SquirrelT7500_220060000960000---0.013--1.875%
2014-05-26T23:57:00Jocelyn LaroucheManual testing8030180301---0.010--0.753%
2014-09-25T02:01:00Jocelyn LaroucheManual testing100602100602---0.012--0.862%
2015-08-10T13:57:00Jocelyn LaroucheManual testing434120434120---0.054--1.812%
2015-11-02T22:40:04Jocelyn LaroucheManual testing552384552384---0.068--2.009%
2015-11-26T13:06:20HBendtzManual testing5000001200000012---0.139--4.711%
2019-07-07T18:14:35mikrMSI300000010000000012---1.022--8.063%
2022-02-18T02:29:42Jocelyn LaroucheManual testing1000000128282700---0.979--7.570%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-07-29T00:00:00ANONYMOUSv4_computers21260--0.049--
2009-04-09T04:47:00S485122USB-Z260261--0.049--
2011-10-29T13:10:00markroldgamer261262--0.097--
2013-01-07T14:05:00dbaughManual testing262263--0.310--
2015-02-11T09:10:00VictordeHollanderManual testing263264--0.621--
2015-02-11T09:10:00VictordeHollanderManual testing264265--1.182--
2015-06-17T09:59:00ThaManual testing265266--2.364--
2017-04-22T18:10:35Gordon SpenceManual testing266267--4.727--
2019-01-21T12:54:08TJAOIManual testing267268--9.454--


ECM factoring results:

Old Calculation Method

Total ECM effort:5.040 GHz-days
Estimated T-Level:2.150
DigitsB1CurvesCompleteFacMiss
201100043 / 1000.43064.910%
255000043 / 2800.15485.740%

New Calculation Method

Total ECM effort:5.040 GHz-days
Estimated T-Level:2.150
DigitsB1CompleteFacMiss
20110001.65419.131%
25500000.15385.811%
302500000.01099.039%


ECM Summary

B1B2factorcurvesGHz-days
500005000000364.219
50000500000070.820


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-11-24T00:00:00ANONYMOUSv4_computers3CE44D24ABCACF__0.269


PRP results:
dateuseridcompidcofactorsres64PRP
2021-02-28T01:14:00mrhlanai
176275480838797050662087
7519DC667C183036no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 1000000, B2 = 128282700 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 500000, B2 = 12000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 552384 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 434120 (P-1 stage 1)
B1 = 60000, B2 = 960000 (P-1 stage 2)
B1 = 100602 (P-1 stage 1)
B1 = 80301 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 15000, B2 = 191250 (P-1 stage 2)
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: 2022-02-18T02:29:42+00:00