is 2 3048737 - 1
has 917762 decimal digits
takes 0.259 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L911BEA9A72565F76double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26939.159468.1159%30487376676754704.84519.6656%44.004571.1977%3.0818%
PrimeNet2600.050463.3333%120002200000.00292.5226%0.053364.2583%0.9250%
GPU722641.167565.6250%140002200000.00311.4648%1.170666.1285%0.5035%
Difference+5+37.9920+2.4909%+3034737+667455470+4.8419+8.2007%+42.8339+5.0692%+5.0692%

Known prime factors (1 factor, 104.7 bits, 0.00343567% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
30487373398207951728783848485956757685732104.7455573140536111812610412044
22 × 3 × 1483 × 1759 × 9049 × 680767 × 28900987
2017-09-18680767289009876.054e+100.27380.3629

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-12-23T00:00:00Team Prime Ribv4_computers1000010000---0.001--0.121%
2004-02-07T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.201%
2010-10-03T22:29:00markrtiny1100002447500---0.029--2.369%
2016-03-14T11:21:42Squeeky_SquirrelP4_2600205000568875012---0.062--3.206%
2017-09-18T19:08:10mikrMSI30000001000000001232104.7451.0220.5192.0457.406%
2020-05-15T14:24:10Jocelyn LaroucheManual testing7723123048737---0.111--3.239%
2021-11-20T13:50:21Jocelyn LaroucheManual testing30487373048737---0.376--3.377%
2021-12-08T02:49:32Jocelyn LaroucheManual testing30487373048737012-
skipped known factor: 33982079517287838484859567576857
--0.561--6.022%
2021-12-21T15:51:57Jocelyn LaroucheManual testing3048737139246800-
skipped known factor: 33982079517287838484859567576857
--1.292--7.806%
2021-12-22T09:19:35Jocelyn LaroucheManual testing3048737667675470-
skipped known factor: 33982079517287838484859567576857
--4.845--9.666%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-05-27T00:00:00ANONYMOUSv4_computers21260--0.050--
2009-02-14T01:35:00Sturle Sundegonsha.ifi260261--0.050--
2010-11-13T01:58:00Sid & AndyBuzz261262--0.101--
2013-01-07T13:54:00dbaughManual testing262263--0.322--
2015-02-07T18:28:00VictordeHollanderManual testing263264--0.644--
2015-02-07T18:28:00VictordeHollanderManual testing264265--1.226--
2015-06-06T19:31:00ThaManual testing265266--2.451--
2021-01-16T21:12:25Jocelyn LaroucheManual testing265266--2.451--
2021-02-18T11:47:34Jocelyn LaroucheManual testing266267--4.902--
2017-05-07T02:13:04Gordon SpenceManual testing266267--4.902--
2021-02-25T22:13:20Jocelyn LaroucheManual testing267268--9.80--
2022-01-09T11:52:12Jocelyn LaroucheManual testing268269--19.61--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.747 GHz-days
Estimated T-Level:0.750
DigitsB1CurvesCompleteFacMiss
201100015 / 1000.15086.006%
255000015 / 2800.05494.775%

New Calculation Method

Total ECM effort:1.747 GHz-days
Estimated T-Level:0.750
DigitsB1CompleteFacMiss
20110000.48461.639%
25500000.04495.721%
302500000.00399.731%


ECM Summary

B1B2factorcurvesGHz-days
500005000000151.747


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-09-14T00:00:00ANONYMOUSv4_computers911BEA9A72565F760.259


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-28T09:13:14Oliver KruseGTX-1
33982079517287838484859567576857
A20416CA7CEAF4__no
2017-12-10T23:53:01kkmrkkblmbrbkc4.xlarge
33982079517287838484859567576857
A20416CA7CEAF4__no


P-1 factor-bounds graph:
B1 = 3048737, B2 = 667675470 (P-1 stage 2)
B1 = 3048737, B2 = 139246800 (P-1 stage 2)
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 3048737, B2 = 30487370 (P-1 stage 2)
B1 = 3048737 (P-1 stage 1)
B1 = 3000000 (P-1 stage 1)
B1 = 772312, B2 = 3048737 (P-1 stage 2)
B1 = 772312 (P-1 stage 1)
B1 = 205000, B2 = 5688750 (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 = 10000 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-01-09T11:52:12+00:00