is 2 2086543 - 1
has 628113 decimal digits
takes 0.137 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L7E4D4A8BCD29E9DFdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26828.566369.1176%25000001250000000.87467.8933%29.441071.5553%2.4376%
PrimeNet2580.018463.7931%90001600000.00162.6745%0.020064.7615%0.9684%
GPU722620.294466.1290%90001400000.00151.3998%0.296066.6032%0.4741%
Difference+6+28.2719+2.9886%+2491000+124860000+0.8731+6.4935%+29.1450+4.9521%+4.9521%

Known prime factors (1 factor, 85.1 bits, 0.00407712% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2086543406321551427922012685061692685.0719736716459424081188
22 × 3 × 811393038285340099
2020-07-2848113930382853400995,745,2244.215e+97.872e+9

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-27T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.223%
2009-07-26T17:33:00harleeP4_260020000260000---0.003--0.876%
2010-12-28T02:16:00Jocelyn LaroucheManual testing3000030000---0.003--0.351%
2011-01-08T14:34:00Jocelyn LaroucheManual testing5000050000---0.005--0.509%
2011-01-25T08:12:00James HeinrichQ66001350002936250---0.027--2.730%
2016-07-07T00:37:29Jocelyn LaroucheManual testing182337587250012---0.047--3.348%
2016-11-05T01:34:06Jocelyn Larouchelow 4M218804218804---0.021--1.225%
2016-11-07T03:11:26Jocelyn Larouchelow 4M262564262564---0.025--1.342%
2017-04-17T10:02:03mikrMSI250000012500000012---0.875--7.893%
2017-05-13T16:00:15Jocelyn Larouchelow 4M36467436467406---0.052--3.331%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-17T00:00:00ANONYMOUSv4_computers21258--0.018--
2016-02-23T16:29:05Mark RoseManual testing258260--0.055--
2009-01-03T12:49:00Sturle Sundeklughardt.ifi260261--0.074--
2012-03-19T07:48:00Sebastian HornbostelManual testing261262--0.147--
2013-09-03T09:36:00ramgeisManual testing262263--0.470--
2015-04-05T09:11:00VictordeHollanderManual testing263264--0.941--
2015-04-05T09:11:00VictordeHollanderManual testing264265--1.791--
2015-11-06T09:16:12ramgeisManual testing265266--3.581--
2016-09-18T04:00:26Gordon SpenceManual testing266267--7.163--
2019-04-01T03:15:23chuenkitManual testing267268--14.33--


ECM factoring results:

Old Calculation Method

Total ECM effort:9.608 GHz-days
Estimated T-Level:22.018
DigitsB1CurvesCompleteFacMiss
2011000113 / 1001.13032.120%
2550000113 / 2800.40466.745%

New Calculation Method

Total ECM effort:9.608 GHz-days
Estimated T-Level:22.018
DigitsB1CompleteFacMiss
20110003.6452.612%
25500000.32971.932%
302500000.02097.992%


ECM Summary

B1B2factorcurvesGHz-days
5000050000001119.438
50000500000020.170


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-29T00:00:00ANONYMOUSv4_computers7E4D4A8BCD29E9DF0.137


PRP results:
dateuseridcompidcofactorsres64PRP
2020-07-29T01:52:09CrypticClueManual testing
40632155142792201268506169
23AF5BB23EBAB3CBno
2020-07-30T00:55:41marssystemssystem03
40632155142792201268506169
23AF5BB23EBAB3CBno


P-1 factor-bounds graph:
B1 = 2500000, B2 = 125000000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 364674, B2 = 3646740 (P-1 stage 2)
B1 = 182337, B2 = 5872500 (P-1 stage 2)
B1 = 364674 (P-1 stage 1)
B1 = 135000, B2 = 2936250 (P-1 stage 2)
B1 = 262564 (P-1 stage 1)
B1 = 218804 (P-1 stage 1)
B1 = 182337 (P-1 stage 1)
B1 = 135000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 20000, B2 = 260000 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
B1 = 20000 (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: 2020-07-30T00:55:41+00:00