is 2 3110683 - 1
has 936409 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-L550D7D641684E417double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26938.379668.1159%30000001000000001.02247.4207%39.402070.4820%2.3660%
PrimeNet2600.049463.3333%130002400000.00312.6438%0.052564.3027%0.9694%
GPU722641.144265.6250%140002400000.00321.5081%1.147566.1434%0.5184%
Difference+5+37.2354+2.4909%+2986000+99760000+1.0192+5.9126%+38.2546+4.3385%+4.3385%

Known prime factors (1 factor, 70.3 bits, 0.00225967% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
311068314446413093877310594632270.291232206449417657
11 × 13 × 17 × 37 × 2581591931
2019-11-30372581591931122.0217.35832.420

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2004-02-07T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.202%
2009-07-03T21:40:00Carsten Kossendeyleela15000180000---0.003--0.651%
2011-08-24T02:56:00Squeeky_SquirrelT7500_22001050002126250---0.027--2.277%
2016-08-31T03:20:26Jocelyn Larouchelow4M10500042525006---0.041--2.663%
2016-12-28T01:46:00Jocelyn Larouchelow 4M126000126000---0.016--0.851%
2017-01-30T01:30:36Jocelyn Larouchelow 4M163200163200---0.020--0.984%
2017-02-04T18:42:46Jocelyn Larouchelow 4M195840195840---0.024--1.086%
2017-02-18T18:11:41Jocelyn Larouchelow 4M23500823500806---0.043--2.679%
2017-03-13T20:13:53Jocelyn Larouchelow 4M28200928200906---0.052--2.874%
2018-09-04T14:11:23mikrMSI300000010000000012---1.022--7.421%
2022-02-09T23:47:58Jocelyn LaroucheManual testing1000000119912100---0.923--6.861%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-05-09T00:00:00ANONYMOUSv4_computers21260--0.049--
2009-03-26T12:49:00Rob_Deetwopc260261--0.049--
2011-11-21T13:44:00Squeeky_SquirrelT7500_2200261262--0.099--
2013-01-03T08:41:00dbaughManual 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--2.402--
2017-04-11T13:39:13Gordon SpenceManual testing266267--4.805--
2019-01-28T14:25:44TJAOIManual testing267268--9.61--
2021-12-22T09:19:55Jocelyn LaroucheManual testing268269--19.22--


ECM factoring results:

Old Calculation Method

Total ECM effort:20.920 GHz-days
Estimated T-Level:23.196
DigitsB1CurvesCompleteFacMiss
2011000179 / 1001.79016.546%
2550000179 / 2800.63952.707%

New Calculation Method

Total ECM effort:20.920 GHz-days
Estimated T-Level:23.196
DigitsB1CompleteFacMiss
20110005.7740.311%
25500000.52259.341%
302500000.03296.837%
3510000000.00199.853%


ECM Summary

B1B2factorcurvesGHz-days
50000500000017520.45
50000500000040.467


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-30T00:00:00ANONYMOUSv4_computers550D7D641684E4170.265


PRP results:
dateuseridcompidcofactorsres64PRP
2019-12-01T00:00:30mnd975203
1444641309387731059463
5A404B7943C9E022no
2019-12-01T01:00:44ATHec2-PRPCFDC
1444641309387731059463
5A404B7943C9E022no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 1000000, B2 = 119912100 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 1000000 (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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TF factor-bounds graph:
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Last modified: 2022-02-09T23:47:58+00:00