is 2 3068929 - 1
has 923840 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-LA3D36FF77CFE2D80double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26819.422067.6471%30000001000000001.02248.0399%20.444570.2482%2.6011%
PrimeNet2600.050063.3333%120002200000.00292.5257%0.052964.2594%0.9261%
GPU722641.159865.6250%140002200000.00311.4667%1.162966.1292%0.5042%
Difference+4+18.2622+2.0221%+2986000+99780000+1.0193+6.5732%+19.2816+4.1190%+4.1190%

Known prime factors (1 factor, 86.0 bits, 0.00280151% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3068929761060439980115107630186232685.97612399446842532282559
3 × 13 × 53917 × 154159 × 38251027
2018-01-03154159382510273,801,6860.27520.4804

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2004-02-14T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.249%
2010-09-23T02:04:00markrtiny1100002447500---0.029--2.668%
2016-10-20T14:39:38Squeeky_SquirrelP4_260019500054112506---0.059--3.510%
2017-01-04T22:58:52Jocelyn Larouchelow 4M132000132000---0.016--1.001%
2018-01-03T13:38:22Jocelyn Larouchelow 4M306892961378586---0.399--4.584%
2018-01-03T22:44:07mikrMSI3000000100000000122685.9761.0220.5222.0458.040%
2018-01-15T10:44:34Jocelyn Larouchelow 4M3068929122757166---0.441--5.439%
2018-01-20T19:20:11Jocelyn Larouchelow 4M3068929245514326---0.523--6.298%
2020-11-12T20:32:50Jocelyn LaroucheManual testing30689230689296---0.056--3.297%
2022-01-06T11:35:12Jocelyn LaroucheManual testing1210338116447100-
skipped known factor: 76106043998011510763018623
--0.924--7.594%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-06-17T00:00:00ANONYMOUSv4_computers21260--0.050--
2009-02-13T23:36:00Sturle Sundebuxtehude.ifi260261--0.050--
2011-10-19T09:52:00Sid & AndyBuzz261262--0.100--
2013-01-07T13:56:00dbaughManual testing262263--0.320--
2015-02-07T18:28:00VictordeHollanderManual testing263264--0.640--
2015-02-07T18:28:00VictordeHollanderManual testing264265--1.217--
2015-06-06T19:31:00ThaManual testing265266--2.435--
2017-05-14T00:43:37Gordon SpenceManual testing266267--4.870--
2021-04-11T11:38:30Jocelyn LaroucheManual testing267268--9.74--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.749 GHz-days
Estimated T-Level:0.750
DigitsB1CurvesCompleteFacMiss
201100015 / 1000.15086.006%
255000015 / 2800.05494.775%

New Calculation Method

Total ECM effort:1.749 GHz-days
Estimated T-Level:0.750
DigitsB1CompleteFacMiss
20110000.48461.639%
25500000.04495.721%
302500000.00399.731%


ECM Summary

B1B2factorcurvesGHz-days
500005000000151.749


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-15T00:00:00ANONYMOUSv4_computers7AE952B844047F__0.261
1999-10-07T00:00:00foxkidv4_computersA3D36FF77CFE2D800.261


PRP results:
dateuseridcompidcofactorsres64PRP
2018-01-06T20:56:18Oliver KruseGTX-5
76106043998011510763018623
6B48D287A6C00A__no
2018-01-06T21:36:24ATHec2-1xf
76106043998011510763018623
6B48D287A6C00A__no
2018-01-07T09:05:22AdolfNorManual testing
76106043998011510763018623
6B48D287A6C00A__no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 1210338, B2 = 116447100 (P-1 stage 2)
B1 = 3068929, B2 = 24551432 (P-1 stage 2)
B1 = 3068929, B2 = 12275716 (P-1 stage 2)
B1 = 3068929, B2 = 6137858 (P-1 stage 2)
B1 = 3068929 (P-1 stage 1)
B1 = 3000000 (P-1 stage 1)
B1 = 1210338 (P-1 stage 1)
B1 = 195000, B2 = 5411250 (P-1 stage 2)
B1 = 306892, B2 = 3068929 (P-1 stage 2)
B1 = 306892 (P-1 stage 1)
B1 = 110000, B2 = 2447500 (P-1 stage 2)
B1 = 195000 (P-1 stage 1)
B1 = 132000 (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: 2022-01-06T11:35:12+00:00