is 2 3042719 - 1
has 915950 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-L-unknown--unknown-
PRP35DE12C05029D1D1verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26819.589367.6471%32566261185627687716.281313.4718%35.870672.0056%4.3585%
PrimeNet2600.050563.3333%120002200000.00292.5217%0.053464.2580%0.9246%
GPU722641.169865.6250%130002200000.00301.4303%1.172866.1167%0.4917%
Difference+4+18.4196+2.0221%+32553261+1856056877+16.2783+12.0415%+34.6978+5.8889%+5.8889%

Known prime factors (1 factor, 75.3 bits, 0.00247363% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3042719454200800945176165773592375.2667463732289198841
73 × 193 × 529756000369
2021-02-151935297560003693,919.83,562.06,652.8

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-12-23T00:00:00Team Prime Ribv4_computers1000010000---0.001--0.147%
2004-02-07T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.249%
2010-10-07T00:27:00markrtiny1100002420000---0.029--2.657%
2016-03-04T23:30:11Squeeky_SquirrelP4_260019500053137506---0.058--3.492%
2017-08-20T09:04:29mikrMSI300000010000000012---1.022--8.033%
2021-01-12T09:20:52oodairacom532566261185627687712---16.28--13.472%
2022-01-26T20:53:27Jocelyn LaroucheManual testing10000001000000---0.123--2.532%
2022-02-13T00:12:33Jocelyn LaroucheManual testing1000000119912100---0.923--7.467%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-04-21T00:00:00ANONYMOUSv4_computers21260--0.050--
2009-02-12T20:24:00Sturle Sundegilia.ifi260261--0.050--
2010-11-01T20:54:00Sid & AndyBuzz261262--0.101--
2013-01-07T13:54:00dbaughManual testing262263--0.323--
2015-02-07T18:28:00VictordeHollanderManual testing263264--0.645--
2015-02-07T18:28:00VictordeHollanderManual testing264265--1.228--
2015-06-03T21:52:00ThaManual testing265266--2.456--
2017-05-05T02:55:07Gordon SpenceManual testing266267--4.912--
2022-01-20T22:37:59Jocelyn LaroucheManual testing267268--9.82--
2018-07-22T23:52:54ramgeisManual testing267268--9.82--


ECM factoring results:

Old Calculation Method

Total ECM effort:6.636 GHz-days
Estimated T-Level:2.850
DigitsB1CurvesCompleteFacMiss
201100057 / 1000.57056.391%
255000057 / 2800.20481.551%

New Calculation Method

Total ECM effort:6.636 GHz-days
Estimated T-Level:2.850
DigitsB1CompleteFacMiss
20110001.83915.902%
25500000.16684.689%
302500000.01098.982%


ECM Summary

B1B2factorcurvesGHz-days
500005000000435.006
500005000000141.630


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-16T00:00:00ANONYMOUSv4_computers0DC76F43A60CD1__0.259


PRP results:
dateuseridcompidcofactorsres64PRP
2021-02-17T04:53:31Cork3tits
45420080094517616577359
35DE12C05029D1D1no


P-1 factor-bounds graph:
B1 = 32566261, B2 = 1856276877 (P-1 stage 2)
B1 = 32566261 (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 = 5313750 (P-1 stage 2)
B1 = 110000, B2 = 2420000 (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 = 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: 2022-02-13T00:12:33+00:00