is 2 3006439 - 1
has 905029 decimal digits
takes 0.256 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L4A668647BF3029C2double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual271159.018169.0141%32773938186811446616.385111.1319%175.403272.4634%3.4493%
PrimeNet2600.051163.3333%120002200000.00292.5161%0.054064.2559%0.9226%
GPU722641.183965.6250%130002000000.00291.3875%1.186866.1020%0.4770%
Difference+7+157.8342+3.3891%+32760938+1867914466+16.3822+9.7444%+174.2165+6.3614%+6.3614%

Known prime factors (1 factor, 74.7 bits, 0.00248445% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3006439305455903538900935738632374.6935080028291591829
3 × 53 × 31949863469131
2021-09-2953319498634691311,622.1214,824401,231

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-12-23T00:00:00Team Prime Ribv4_computers1000010000---0.001--0.081%
2004-02-07T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.129%
2009-07-08T04:45:00BigBrotherMiniluv1000000100000000---0.789--5.570%
2016-08-14T22:30:26trebor165000012000000012---0.999--6.079%
2016-10-05T04:15:00trebor165000030000000012---2.210--6.957%
2019-01-06T07:40:51oodairacom532773938186811446612---16.39--11.132%
2022-01-22T13:05:18Jocelyn LaroucheManual testing1000000119912100---0.923--5.728%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-06-30T00:00:00Ignacio_Larrosav4_computers21259--0.026--
2000-11-15T00:00:00Alex Kruppav4_computers21260--0.051--
2016-02-23T16:29:25Mark RoseManual testing260261--0.051--
2010-04-08T13:58:00Richard B. WoodsPuttputt261262--0.102--
2010-05-18T22:34:00Richard B. WoodsManual testing262263--0.327--
2010-05-18T22:34:00Richard B. WoodsManual testing263264--0.653--
2010-08-25T19:46:00Richard B. WoodsPuttputt264265--1.243--
2012-02-25T08:24:00Richard B. WoodsPuttputt265266--2.486--
2014-04-02T14:51:00ramgeisManual testing266267--4.971--
2022-01-15T12:00:50Jocelyn LaroucheManual testing267268--9.94--
2014-04-02T14:51:00ramgeisManual testing267268--9.94--
2022-01-15T12:00:50Jocelyn LaroucheManual testing268269--19.88--
2014-04-02T14:51:00ramgeisManual testing268269--19.88--
2014-04-02T14:51:00ramgeisManual testing269270--39.77--
2016-01-05T09:39:00ramgeisManual testing270271--79.54--


ECM factoring results:

Old Calculation Method

Total ECM effort:9.973 GHz-days
Estimated T-Level:4.200
DigitsB1CurvesCompleteFacMiss
201100084 / 1000.84042.989%
255000084 / 2800.30074.042%

New Calculation Method

Total ECM effort:9.973 GHz-days
Estimated T-Level:4.200
DigitsB1CompleteFacMiss
20110002.7416.452%
25500000.24878.038%
302500000.01598.483%


ECM Summary

B1B2factorcurvesGHz-days
500005000000677.784
50000500000030.349
50000635000070.910
50000665000070.931


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-30T00:00:00ANONYMOUSv4_computers4A668647BF3029C20.256
2001-06-30T00:00:00Ignacio_Larrosav4_computers4A668647BF3029C20.256
2012-09-02T05:21:00kdgehmani5-2500k4A668647BF3029C20.256


PRP results:
dateuseridcompidcofactorsres64PRP
2021-10-05T23:37:46Yuji HASEGAWAvj20a
30545590353890093573863
659E1DCDC43871__no
2021-10-06T11:31:49LaurVZero818
30545590353890093573863
659E1DCDC43871B6no


P-1 factor-bounds graph:
B1 = 32773938, B2 = 1868114466 (P-1 stage 2)
B1 = 32773938 (P-1 stage 1)
B1 = 1650000, B2 = 300000000 (P-1 stage 2)
B1 = 1650000, B2 = 120000000 (P-1 stage 2)
B1 = 1000000, B2 = 119912100 (P-1 stage 2)
B1 = 1000000, B2 = 100000000 (P-1 stage 2)
B1 = 1650000 (P-1 stage 1)
B1 = 1000000 (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: 2022-01-22T13:05:18+00:00