is 2 2765473 - 1
has 832491 decimal digits
takes 0.214 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L41B0EA664B8926E4double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26710.744667.1642%2700000840000000.79848.3336%11.543069.9006%2.7364%
PrimeNet2590.027862.7119%120002200000.00262.8554%0.030463.7766%1.0647%
GPU722630.577165.0794%150002400000.00311.7457%0.580265.6890%0.6096%
Difference+4+10.1675+2.0848%+2685000+83760000+0.7954+6.5879%+10.9629+4.2116%+4.2116%

Known prime factors (1 factor, 89.7 bits, 0.00324281% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
27654739910257941846579737299085612789.679179178352886587208360
23 × 5 × 313 × 19463 × 151343 × 4858577
2017-01-29151343485857779,090,3320.04570.0554

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-16T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.299%
2010-12-02T05:12:00markrtiny1100002365000---0.026--2.927%
2016-08-11T02:58:16Jocelyn LaroucheManual testing14200047300006---0.044--3.559%
2016-10-27T01:50:42Jocelyn Larouchelow 4M170400170400---0.019--1.289%
2016-12-24T02:28:25Jocelyn Larouchelow 4M204480204480---0.023--1.413%
2017-01-29T20:16:51mikrMSI270000084000000122789.6790.7980.4271.5978.334%
2017-02-25T21:08:01Jocelyn Larouchelow 4M29445129445106---0.049--3.562%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:21Mark RoseManual testing21260--0.056--
2009-01-31T05:29:00Sturle Sundegofy.ifi260261--0.056--
2012-03-14T05:34:00markroldgamer261262--0.111--
2013-01-10T10:19:00dbaughManual testing262263--0.355--
2015-04-21T09:20:00VictordeHollanderManual testing263264--0.710--
2015-04-21T09:20:00VictordeHollanderManual testing264265--1.351--
2016-02-08T11:13:50ramgeisManual testing265266--2.702--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.183 GHz-days
Estimated T-Level:1.050
DigitsB1CurvesCompleteFacMiss
201100021 / 1000.21080.973%
255000021 / 2800.07592.762%

New Calculation Method

Total ECM effort:2.183 GHz-days
Estimated T-Level:1.050
DigitsB1CompleteFacMiss
20110000.67750.793%
25500000.06194.061%
302500000.00499.624%


ECM Summary

B1B2factorcurvesGHz-days
500005000000212.183


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-02T00:00:00ANONYMOUSv4_computers41B0EA664B8926E40.214


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-20T21:58:18Oliver KruseGTX-2
991025794184657973729908561
9CDFF8272E848E__no
2017-12-06T00:26:54kkmrkkblmbrbkc4.xlarge
991025794184657973729908561
9CDFF8272E848E__no


P-1 factor-bounds graph:
B1 = 2700000, B2 = 84000000 (P-1 stage 2)
B1 = 2700000 (P-1 stage 1)
B1 = 294451, B2 = 2944510 (P-1 stage 2)
B1 = 142000, B2 = 4730000 (P-1 stage 2)
B1 = 294451 (P-1 stage 1)
B1 = 110000, B2 = 2365000 (P-1 stage 2)
B1 = 204480 (P-1 stage 1)
B1 = 170400 (P-1 stage 1)
B1 = 142000 (P-1 stage 1)
B1 = 110000 (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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2100
Last modified: 2017-12-06T00:26:54+00:00