is 2 3072847 - 1
has 925020 decimal digits
takes 0.262 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LA666DF489458EA53double-checked
PRPD9AC7759D2879397verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26938.852268.1159%30000001000000001.02247.4116%39.874670.4791%2.3631%
PrimeNet2600.050063.3333%120002200000.00292.5263%0.052964.2596%0.9263%
GPU722641.158365.6250%140002200000.00311.4671%1.161466.1293%0.5043%
Difference+5+37.6939+2.4909%+2986000+99780000+1.0193+5.9445%+38.7132+4.3497%+4.3497%

Known prime factors (1 factor, 69.9 bits, 0.00227408% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
307284710856965811394332421292269.879176659719982712
23 × 587 × 37619190797
2021-03-305873761919079750.239252.94472.43

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2004-02-14T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.201%
2010-09-21T08:17:00markrtiny1100002447500---0.029--2.372%
2016-10-23T00:36:39Squeeky_SquirrelP4_2600195000546000012---0.059--3.155%
2017-01-04T22:58:53Jocelyn Larouchelow 4M132000132000---0.016--0.872%
2018-01-05T13:27:46Jocelyn Larouchelow 4M780000780000---0.096--2.059%
2018-01-29T11:19:52mikrMSI300000010000000012---1.022--7.412%
2022-01-25T08:16:02Jocelyn LaroucheManual testing1000000119912100---0.923--6.852%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-01-13T00:00:00ANONYMOUSv4_computers21259--0.025--
1998-07-11T00:00:00ANONYMOUSv4_computers21259--0.025--
1998-07-21T00:00:00ANONYMOUSv4_computers21259--0.025--
2001-06-23T00:00:00ANONYMOUSv4_computers21260--0.050--
2009-02-13T15:42:00Sturle Sundegoomba.ifi260261--0.050--
2011-10-27T11:29:00Sid & AndyBuzz261262--0.100--
2013-01-07T13:56:00dbaughManual testing262263--0.319--
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--
2022-01-19T07:45:03Jocelyn LaroucheManual testing267268--9.73--
2018-08-05T23:31:44ramgeisManual testing267268--9.73--
2021-03-23T11:34:14TJAOIManual testing268269--19.45--


ECM factoring results:

Old Calculation Method

Total ECM effort:6.064 GHz-days
Estimated T-Level:2.600
DigitsB1CurvesCompleteFacMiss
201100052 / 1000.52059.297%
255000052 / 2800.18683.023%

New Calculation Method

Total ECM effort:6.064 GHz-days
Estimated T-Level:2.600
DigitsB1CompleteFacMiss
20110001.67718.686%
25500000.15285.933%
302500000.00999.071%


ECM Summary

B1B2factorcurvesGHz-days
500005000000505.831
50000500000020.233


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-01-13T00:00:00ANONYMOUSv4_computersA666DF489458EA530.262
1999-11-17T00:00:00ANONYMOUSv4_computersA666DF489458EA530.262


PRP results:
dateuseridcompidcofactorsres64PRP
2021-03-31T16:17:38XZTN4640G1
1085696581139433242129
D9AC7759D2879397no


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 = 780000 (P-1 stage 1)
B1 = 195000, B2 = 5460000 (P-1 stage 2)
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: 2022-01-25T08:16:02+00:00