is 2 3128033 - 1
has 941632 decimal digits
takes 0.266 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L1E31E14B85BD2096double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26819.055167.6471%31280336374375704.651010.4096%23.706171.0149%3.3678%
PrimeNet2600.049163.3333%130002400000.00312.6465%0.052264.3037%0.9704%
GPU722641.137965.6250%150002400000.00341.5421%1.141266.1551%0.5301%
Difference+4+17.9172+2.0221%+3113033+637197570+4.6476+8.8675%+22.5648+4.8598%+4.8598%

Known prime factors (1 factor, 86.1 bits, 0.00275216% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3128033822717750240705173226253992686.08913150720440620434203
3 × 7 × 64013 × 2701871 × 3620741
2018-12-13270187136207419,177,4240.33960.6786

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2004-02-07T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.251%
2009-07-03T00:50:00Carsten Kossendeyleela15000180000---0.003--0.764%
2011-08-31T06:19:00Squeeky_SquirrelT7500_22001050002152500---0.027--2.573%
2011-09-22T00:00:00ANONYMOUSv4_computers1000010000---0.001--0.148%
2016-10-01T12:25:16Squeeky_Squirreli5-5250U_1600195000546000012---0.059--3.526%
2018-07-17T23:14:17Jocelyn Larouchelow 4M6921442076432---0.095--3.211%
2018-07-18T06:34:20Jocelyn Larouchelow 4M6921442768576---0.099--3.479%
2018-07-18T23:15:57Jocelyn Larouchelow 4M6921444152864---0.109--3.861%
2018-12-13T17:28:47mikrMSI3000000100000000122686.0891.0220.5322.0458.055%
2021-11-20T20:53:51Jocelyn LaroucheManual testing31280333128033---0.386--3.766%
2021-12-19T09:29:28Jocelyn LaroucheManual testing3128033108997350-
skipped known factor: 82271775024070517322625399
--1.098--8.188%
2021-12-22T09:19:32Jocelyn LaroucheManual testing3128033637437570-
skipped known factor: 82271775024070517322625399
--4.651--10.410%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-05-06T00:00:00ANONYMOUSv4_computers21260--0.049--
2009-04-13T05:58:00S485122USB-A260261--0.049--
2011-11-14T01:33:00markroldgamer261262--0.098--
2013-01-03T08:41:00dbaughManual testing262263--0.314--
2015-02-11T09:10:00VictordeHollanderManual testing263264--0.628--
2015-02-11T09:10:00VictordeHollanderManual testing264265--1.194--
2015-06-14T13:51:00ThaManual testing265266--2.389--
2021-01-03T02:39:41Jocelyn LaroucheManual testing265266--2.389--
2017-04-16T02:34:53Gordon SpenceManual testing266267--4.778--
2021-02-25T15:38:25Jocelyn LaroucheManual testing267268--9.56--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.106 GHz-days
Estimated T-Level:0.900
DigitsB1CurvesCompleteFacMiss
201100018 / 1000.18083.451%
255000018 / 2800.06493.763%

New Calculation Method

Total ECM effort:2.106 GHz-days
Estimated T-Level:0.900
DigitsB1CompleteFacMiss
20110000.58155.954%
25500000.05294.888%
302500000.00399.677%


ECM Summary

B1B2factorcurvesGHz-days
500005000000182.106


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-12-23T00:00:00ANONYMOUSv4_computers1E31E14B85BD20960.266


PRP results:
dateuseridcompidcofactorsres64PRP
2018-12-15T03:58:41oodairacom1
82271775024070517322625399
910EFE28109247ABno
2018-12-15T21:26:08kkmrkkblmbrbkc5.large
82271775024070517322625399
910EFE28109247ABno


P-1 factor-bounds graph:
B1 = 3128033, B2 = 637437570 (P-1 stage 2)
B1 = 3128033, B2 = 108997350 (P-1 stage 2)
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 3128033 (P-1 stage 1)
B1 = 3000000 (P-1 stage 1)
B1 = 692144, B2 = 4152864 (P-1 stage 2)
B1 = 692144, B2 = 2768576 (P-1 stage 2)
B1 = 692144, B2 = 2076432 (P-1 stage 2)
B1 = 692144 (P-1 stage 1)
B1 = 195000, B2 = 5460000 (P-1 stage 2)
B1 = 105000, B2 = 2152500 (P-1 stage 2)
B1 = 195000 (P-1 stage 1)
B1 = 105000 (P-1 stage 1)
B1 = 15000, B2 = 180000 (P-1 stage 2)
B1 = 15000 (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: 2021-12-22T09:19:32+00:00