is 2 3110213 - 1
has 936268 decimal digits
takes 0.265 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L70579FA3F0074A9Bdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26819.164267.6471%12165301164471000.92497.6089%20.089270.1088%2.4617%
PrimeNet2600.049463.3333%130002400000.00312.6438%0.052564.3027%0.9694%
GPU722641.144465.6250%140002400000.00321.5081%1.147666.1434%0.5184%
Difference+4+18.0198+2.0221%+1202530+116207100+0.9217+6.1009%+18.9415+3.9654%+3.9654%

Known prime factors (1 factor, 90.3 bits, 0.00290399% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
311021315455943098005289323264265532890.320248470813703197969452
22 × 32 × 2269 × 91961 × 170557 × 193939
2018-08-3117055719393989,204,8540.02120.0428

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2004-02-07T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.250%
2009-07-03T21:39:00Carsten Kossendeyleela15000180000---0.003--0.763%
2011-08-23T22:39:00Squeeky_SquirrelT7500_22001050002126250---0.027--2.564%
2016-08-31T03:20:26Jocelyn Larouchelow4M10500042525006---0.041--2.991%
2016-12-28T01:45:59Jocelyn Larouchelow 4M126000126000---0.016--0.978%
2017-01-30T01:30:36Jocelyn Larouchelow 4M163200163200---0.020--1.126%
2017-02-04T18:42:45Jocelyn Larouchelow 4M195840195840---0.024--1.238%
2017-02-18T18:11:41Jocelyn Larouchelow 4M23500823500806---0.043--2.991%
2017-03-13T20:13:53Jocelyn Larouchelow 4M28200928200906---0.052--3.202%
2018-08-31T22:17:20mikrMSI300000030000002890.3200.3700.5290.7403.714%
2020-05-15T14:24:10Jocelyn LaroucheManual testing60960931102136-
skipped known factor: 1545594309800528932326426553
--0.092--3.551%
2022-01-06T11:35:10Jocelyn LaroucheManual testing1216530116447100-
skipped known factor: 1545594309800528932326426553
--0.925--7.609%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-05-09T00:00:00ANONYMOUSv4_computers21260--0.049--
2009-02-13T18:31:00Sturle Sundegollumilla.ifi260261--0.049--
2011-11-20T22:51:00Squeeky_SquirrelT7500_2200261262--0.099--
2013-01-07T13:56:00dbaughManual testing262263--0.316--
2015-02-07T18:29:00VictordeHollanderManual testing263264--0.631--
2015-02-07T18:29:00VictordeHollanderManual testing264265--1.201--
2015-06-11T22:04:00ThaManual testing265266--2.403--
2021-01-03T13:46:17Jocelyn LaroucheManual testing265266--2.403--
2017-04-11T13:39:13Gordon SpenceManual testing266267--4.805--
2021-02-26T09:11:45Jocelyn LaroucheManual testing267268--9.61--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.104 GHz-days
Estimated T-Level:0.900
DigitsB1CurvesCompleteFacMiss
201100018 / 1000.18083.451%
255000018 / 2800.06493.763%

New Calculation Method

Total ECM effort:2.104 GHz-days
Estimated T-Level:0.900
DigitsB1CompleteFacMiss
20110000.58155.954%
25500000.05294.888%
302500000.00399.677%


ECM Summary

B1B2factorcurvesGHz-days
500005000000182.104


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-02-24T00:00:00ANONYMOUSv4_computers70579FA3F0074A9B0.265
1999-11-10T00:00:00ANONYMOUSv4_computers70579FA3F0074A9B0.265


PRP results:
dateuseridcompidcofactorsres64PRP
2018-08-31T22:59:53ATHec2-PRPCF
1545594309800528932326426553
167EE7255B5933__no
2018-09-02T18:48:36Oliver KruseGTX-2
1545594309800528932326426553
167EE7255B5933__no


P-1 factor-bounds graph:
B1 = 1216530, B2 = 116447100 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 1216530 (P-1 stage 1)
B1 = 609609, B2 = 3110213 (P-1 stage 2)
B1 = 609609 (P-1 stage 1)
B1 = 282009, B2 = 2820090 (P-1 stage 2)
B1 = 235008, B2 = 2350080 (P-1 stage 2)
B1 = 105000, B2 = 4252500 (P-1 stage 2)
B1 = 282009 (P-1 stage 1)
B1 = 235008 (P-1 stage 1)
B1 = 105000, B2 = 2126250 (P-1 stage 2)
B1 = 195840 (P-1 stage 1)
B1 = 163200 (P-1 stage 1)
B1 = 126000 (P-1 stage 1)
B1 = 105000 (P-1 stage 1)
B1 = 15000, B2 = 180000 (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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109
TF factor-bounds graph:
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265
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2100
Last modified: 2022-01-06T11:35:10+00:00