is 2 2982277 - 1
has 897755 decimal digits
takes 0.254 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LE0FCF6436F9BB5D2double-checked
PRPD31F59D63F2167E0verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26940.032168.1159%3000000900000000.95527.2656%40.987370.4325%2.3166%
PrimeNet2600.051563.3333%120002200000.00292.5124%0.054464.2545%0.9212%
GPU722641.193565.6250%130002000000.00291.3853%1.196466.1012%0.4762%
Difference+5+38.8386+2.4909%+2987000+89800000+0.9523+5.8803%+39.7909+4.3313%+4.3313%

Known prime factors (1 factor, 80.4 bits, 0.00269576% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
298227715897133944870032524159132580.395266526783810994628
22 × 23 × 2897030258815159
2021-05-07232897030258815159150,49419,478,98836,381,324

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-12-13T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.199%
2003-12-23T00:00:00Team Prime Ribv4_computers1000010000---0.001--0.120%
2010-10-25T06:24:00markrtiny1000002025000---0.025--2.213%
2016-06-18T23:47:20Jocelyn LaroucheManual testing19840040500006---0.050--2.953%
2017-07-10T01:11:31Jocelyn Larouchelow 4M39680039680006---0.073--3.242%
2019-10-15T03:42:07BigBrotherWinston30000009000000012---0.955--7.266%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-08-16T00:00:00ANONYMOUSv4_computers21260--0.052--
2009-02-13T17:03:00Sturle Sundegorilla.ifi260261--0.052--
2011-11-25T05:33:00Sebastian HornbostelManual testing261262--0.103--
2013-01-07T13:51:00dbaughManual testing262263--0.329--
2015-04-13T19:44:00lycornManual testing263264--0.658--
2015-04-13T19:44:00lycornManual testing264265--1.253--
2016-02-27T17:18:48omylistManual testing265266--2.506--
2017-12-03T16:23:26Gordon SpenceManual testing266267--5.011--
2018-12-27T01:47:29chuenkitManual testing267268--10.02--
2021-05-04T12:14:29TJAOIManual testing268269--20.05--


ECM factoring results:

Old Calculation Method

Total ECM effort:8.005 GHz-days
Estimated T-Level:3.450
DigitsB1CurvesCompleteFacMiss
201100069 / 1000.69049.984%
255000069 / 2800.24678.124%

New Calculation Method

Total ECM effort:8.005 GHz-days
Estimated T-Level:3.450
DigitsB1CompleteFacMiss
20110002.6547.038%
25500000.24678.227%
302500000.01598.463%


ECM Summary

B1B2factorcurvesGHz-days
500005000000647.425
50000500000050.580


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-01-13T00:00:00JCv4_computersE0FCF6436F9BB5D20.254
2015-11-14T06:50:00MadPooManual testingE0FCF6436F9BB5D20.254


PRP results:
dateuseridcompidcofactorsres64PRP
2021-05-09T22:56:39Klaus Nordmannno1
1589713394487003252415913
D31F59D63F2167E0no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 90000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 396800, B2 = 3968000 (P-1 stage 2)
B1 = 198400, B2 = 4050000 (P-1 stage 2)
B1 = 396800 (P-1 stage 1)
B1 = 100000, B2 = 2025000 (P-1 stage 2)
B1 = 198400 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-05-09T22:56:39+00:00