is 2 3072403 - 1
has 924886 decimal digits
takes 0.261 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L83B94294B3B23D32double-checked
PRP4E78C8900359D6F1verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26819.400167.6471%30000001000000001.02248.0408%20.422570.2485%2.6014%
PrimeNet2600.050063.3333%120002200000.00292.5262%0.052964.2596%0.9263%
GPU722641.158565.6250%140002200000.00311.4670%1.161666.1293%0.5043%
Difference+4+18.2416+2.0221%+2986000+99780000+1.0193+6.5737%+19.2609+4.1192%+4.1192%

Known prime factors (1 factor, 90.6 bits, 0.00294922% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
307240318919930583908732967471643832890.612307901186529057759797
29 × 2059458101 × 5155376693
2021-01-2520594581015155376693130,666,787274.98517.26

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2004-02-14T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.249%
2010-09-21T13:37:00markrtiny1100002447500---0.029--2.668%
2016-03-08T04:02:55Squeeky_SquirrelP4_2600205000599625012---0.064--3.615%
2018-01-26T05:07:44mikrMSI300000010000000012---1.022--8.041%
2022-02-12T19:37:09Jocelyn LaroucheManual testing1000000119912100---0.923--7.474%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-01-13T00:00:00ANONYMOUSv4_computers21259--0.025--
2001-06-23T00:00:00ANONYMOUSv4_computers21260--0.050--
2009-02-13T04:01:00Sturle Sundegoomba.ifi260261--0.050--
2011-10-26T10:27:00Sid & AndyBuzz261262--0.100--
2013-01-07T13:56:00dbaughManual testing262263--0.320--
2015-02-07T18:28:00VictordeHollanderManual testing263264--0.639--
2015-02-07T18:28:00VictordeHollanderManual testing264265--1.216--
2015-06-06T19:31:00ThaManual testing265266--2.432--
2017-05-14T00:43:38Gordon SpenceManual testing266267--4.864--
2022-01-20T22:38:01Jocelyn LaroucheManual testing267268--9.73--
2018-08-05T23:31:44ramgeisManual testing267268--9.73--


ECM factoring results:

Old Calculation Method

Total ECM effort:4.315 GHz-days
Estimated T-Level:1.850
DigitsB1CurvesCompleteFacMiss
201100037 / 1000.37068.945%
255000037 / 2800.13287.601%

New Calculation Method

Total ECM effort:4.315 GHz-days
Estimated T-Level:1.850
DigitsB1CompleteFacMiss
20110001.42324.097%
25500000.13287.663%
302500000.00899.173%


ECM Summary

B1B2factorcurvesGHz-days
500005000000364.198
50000500000010.117


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-01-26T00:00:00ANONYMOUSv4_computers83B94294B3B23D320.261
1999-06-15T00:00:00ANONYMOUSv4_computers83B94294B3B23D320.261


PRP results:
dateuseridcompidcofactorsres64PRP
2021-01-25T14:48:48mrhlanai
1891993058390873296747164383
4E78C8900359D6F1no


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 = 205000, B2 = 5996250 (P-1 stage 2)
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)
102
103
104
105
106
107
108
109
1010
102
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105
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1010
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
259
250
260
270
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2100
Last modified: 2022-02-12T19:37:09+00:00