is 2 3052117 - 1
has 918779 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-L1B701D08A079B28Edouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26819.529067.6471%30000001000000001.02248.0355%20.551570.2468%2.5997%
PrimeNet2600.050363.3333%120002200000.00292.5231%0.053264.2585%0.9251%
GPU722641.166265.6250%140002200000.00311.4651%1.169366.1286%0.5036%
Difference+4+18.3628+2.0221%+2986000+99780000+1.0193+6.5704%+19.3822+4.1182%+4.1182%

Known prime factors (1 factor, 69.8 bits, 0.00228818% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
305211710552256790882493592872269.838172867828967279
5003 × 34552834093
2020-10-1450033455283409348.774232.33433.92

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2004-02-07T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.249%
2010-10-05T06:14:00markrtiny1100002447500---0.029--2.665%
2016-03-17T14:32:55Squeeky_SquirrelP4_2600205000568875012---0.062--3.572%
2017-10-04T19:54:46mikrMSI300000010000000012---1.022--8.036%
2021-01-14T13:16:35Jocelyn LaroucheManual testing305211305211---0.038--1.535%
2021-01-16T17:21:45Jocelyn LaroucheManual testing30521130521176---0.056--3.288%
2022-01-23T08:35:02Jocelyn LaroucheManual testing1055210119912100---0.929--7.513%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-06-03T00:00:00ANONYMOUSv4_computers21260--0.050--
2009-02-13T17:38:00Sturle Sundegouffy.ifi260261--0.050--
2011-03-21T13:17:00Sid & 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--4.897--
2018-07-28T13:20:23ramgeisManual testing267268--9.79--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.213 GHz-days
Estimated T-Level:0.950
DigitsB1CurvesCompleteFacMiss
201100019 / 1000.19082.617%
255000019 / 2800.06893.428%

New Calculation Method

Total ECM effort:2.213 GHz-days
Estimated T-Level:0.950
DigitsB1CompleteFacMiss
20110000.61354.178%
25500000.05594.611%
302500000.00399.659%


ECM Summary

B1B2factorcurvesGHz-days
500005000000151.747
50000500000040.466


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-15T00:00:00ANONYMOUSv4_computers1B701D08A079B28E0.260


PRP results:
dateuseridcompidcofactorsres64PRP
2020-10-15T14:18:52mrh.orglanai
1055225679088249359287
8D13646EF6B935__no
2020-10-16T08:13:36marssystemsSYSTEM01
1055225679088249359287
8D13646EF6B9356Dno


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 1055210, B2 = 119912100 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 1055210 (P-1 stage 1)
B1 = 205000, B2 = 5688750 (P-1 stage 2)
B1 = 305211, B2 = 3052117 (P-1 stage 2)
B1 = 305211 (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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266
265
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263
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261
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2100
Last modified: 2022-01-23T08:35:02+00:00