is 2 3052591 - 1
has 918922 decimal digits
takes 0.260 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP7055D313E6CC2576verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26819.526067.6471%30000001000000001.02248.0357%20.548470.2468%2.5998%
PrimeNet2600.050363.3333%120002200000.00292.5232%0.053264.2585%0.9252%
GPU722641.166065.6250%140002200000.00311.4652%1.169166.1287%0.5037%
Difference+4+18.3600+2.0221%+2986000+99780000+1.0193+6.5705%+19.3793+4.1182%+4.1182%

Known prime factors (1 factor, 71.8 bits, 0.00235196% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
305259140985196729356981920872271.796671318180675973
32 × 607 × 122884528771
2020-12-20607122884528771200.46826.251,543.2

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2004-02-07T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.249%
2010-10-05T09:11:00markrtiny1100002447500---0.029--2.665%
2016-03-17T20:53:18Squeeky_SquirrelP4_2600205000568875012---0.062--3.572%
2017-10-06T07:40:19mikrMSI300000010000000012---1.022--8.036%
2021-01-14T13:16:35Jocelyn LaroucheManual testing305259305259---0.038--1.535%
2021-01-16T17:21:45Jocelyn LaroucheManual testing30525930525916---0.056--3.288%
2022-01-23T08:35:02Jocelyn LaroucheManual testing1055258119912100---0.929--7.513%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-06-03T00:00:00ANONYMOUSv4_computers21260--0.050--
2009-02-13T20:04:00Sturle Sundegouffy.ifi260261--0.050--
2011-03-22T01:52:00Sid & AndyBuzz261262--0.101--
2013-01-07T13:54:00dbaughManual testing262263--0.322--
2015-02-07T18:28:00VictordeHollanderManual testing263264--0.643--
2015-02-07T18:28:00VictordeHollanderManual testing264265--1.224--
2015-06-06T19:31:00ThaManual testing265266--2.448--
2017-05-07T02:13:05Gordon SpenceManual testing266267--4.896--
2018-07-28T13:20:23ramgeisManual testing267268--9.79--


ECM factoring results:

Old Calculation Method

Total ECM effort:4.193 GHz-days
Estimated T-Level:1.800
DigitsB1CurvesCompleteFacMiss
201100036 / 1000.36069.641%
255000036 / 2800.12987.915%

New Calculation Method

Total ECM effort:4.193 GHz-days
Estimated T-Level:1.800
DigitsB1CompleteFacMiss
20110001.16131.308%
25500000.10590.036%
302500000.00699.356%


ECM Summary

B1B2factorcurvesGHz-days
500005000000293.378
50000500000070.815


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-16T00:00:00ANONYMOUSv4_computers3ED7A11CE84B99__0.260


PRP results:
dateuseridcompidcofactorsres64PRP
2020-12-21T00:09:39Niels_Mache_Nextcloudconf4-a
4098519672935698192087
7055D313E6CC2576no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 1055258, B2 = 119912100 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 1055258 (P-1 stage 1)
B1 = 205000, B2 = 5688750 (P-1 stage 2)
B1 = 305259, B2 = 3052591 (P-1 stage 2)
B1 = 305259 (P-1 stage 1)
B1 = 110000, B2 = 2447500 (P-1 stage 2)
B1 = 205000 (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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Last modified: 2022-01-23T08:35:02+00:00