is 2 3054967 - 1
has 919637 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-
PRPE313CE7A3A98F9C1verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26939.079668.1159%32497000185232900016.246612.6541%55.326272.1506%4.0346%
PrimeNet2600.050363.3333%120002200000.00292.5236%0.053264.2586%0.9253%
GPU722641.165165.6250%140002200000.00311.4654%1.168266.1287%0.5037%
Difference+5+37.9145+2.4909%+32483000+1852109000+16.2435+11.1887%+54.1580+6.0218%+6.0218%

Known prime factors (1 factor, 85.3 bits, 0.00279336% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3054967488340797684217278199527772685.3367992570749278425564
22 × 3 × 967 × 688777210382491
2021-05-049676887772103824914,843,3624,631,1858,649,764

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2004-02-07T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.201%
2010-10-06T01:59:00markrtiny1100002447500---0.029--2.370%
2016-10-14T09:51:39Squeeky_SquirrelP4_260019500053625006---0.059--3.141%
2017-10-15T23:00:49mikrMSI300000010000000012---1.022--7.407%
2021-10-22T18:47:30oodairacom532497000185232900012---16.25--12.654%
2022-02-05T23:25:43Jocelyn LaroucheManual testing1000000119912100---0.923--6.848%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-07-29T00:00:00ANONYMOUSv4_computers21260--0.050--
2009-02-12T22:03:00Sturle Sundeghini.ifi260261--0.050--
2011-03-25T17:39:00Sid & AndyBuzz261262--0.101--
2013-01-07T13:54:00dbaughManual testing262263--0.321--
2015-02-07T18:28:00VictordeHollanderManual testing263264--0.643--
2015-02-07T18:28:00VictordeHollanderManual testing264265--1.223--
2015-06-06T19:31:00ThaManual testing265266--2.446--
2017-05-07T02:13:06Gordon SpenceManual testing266267--4.892--
2022-01-20T22:38:00Jocelyn LaroucheManual testing267268--9.78--
2018-07-28T13:20:24ramgeisManual testing267268--9.78--
2021-03-18T06:26:27TJAOIManual testing268269--19.57--


ECM factoring results:

Old Calculation Method

Total ECM effort:7.339 GHz-days
Estimated T-Level:3.150
DigitsB1CurvesCompleteFacMiss
201100063 / 1000.63053.091%
255000063 / 2800.22579.819%

New Calculation Method

Total ECM effort:7.339 GHz-days
Estimated T-Level:3.150
DigitsB1CompleteFacMiss
20110002.03213.104%
25500000.18483.221%
302500000.01198.875%


ECM Summary

B1B2factorcurvesGHz-days
500005000000576.640
50000500000060.699


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-30T00:00:00ANONYMOUSv4_computers24E5617724F852__0.260


PRP results:
dateuseridcompidcofactorsres64PRP
2021-05-05T15:12:49mrhw
48834079768421727819952777
E313CE7A3A98F9C1no


P-1 factor-bounds graph:
B1 = 32497000, B2 = 1852329000 (P-1 stage 2)
B1 = 32497000 (P-1 stage 1)
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 = 195000, B2 = 5362500 (P-1 stage 2)
B1 = 110000, B2 = 2447500 (P-1 stage 2)
B1 = 195000 (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: 2022-02-05T23:25:43+00:00