is 2 3218261 - 1
has 968794 decimal digits
takes 0.274 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L3FCEDA230C33C4B7double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26937.096768.1159%40000001500000001.47538.1030%38.572070.6995%2.5836%
PrimeNet2600.047763.3333%130002400000.00312.6602%0.050964.3087%0.9754%
GPU722641.106065.6250%160002600000.00361.6175%1.109666.1810%0.5560%
Difference+5+35.9907+2.4909%+3984000+149740000+1.4717+6.4855%+37.4624+4.5185%+4.5185%

Known prime factors (1 factor, 76.9 bits, 0.00238980% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
32182611419672749083964300896572476.91022056519795690348
22 × 33 × 2017 × 101252868193
2021-08-1020171012528681937,892.7680.801,271.5

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-03T21:42:00Carsten Kossendeyleela15000191250---0.003--0.669%
2011-09-25T01:06:00harleeP4_2600600001035000---0.014--1.686%
2014-06-03T02:15:00Jocelyn LaroucheManual testing7994479944---0.010--0.651%
2014-09-29T22:05:00Jocelyn LaroucheManual testing9988899888---0.012--0.747%
2015-12-14T03:34:38Squeeky_SquirrelP4_260015500039525006---0.045--2.844%
2016-05-13T03:13:59Jocelyn LaroucheManual testing35142163255786---0.084--3.583%
2020-02-22T22:28:08mikrMSI400000015000000012---1.475--8.103%
2022-03-11T21:35:40Jocelyn LaroucheManual testing1000000134343300---1.020--7.002%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-06-07T00:00:00ANONYMOUSv4_computers21260--0.048--
2009-04-07T22:16:00S485122USB-A260261--0.048--
2011-10-20T05:27:00markrManual testing21262--0.191--
2013-01-03T08:47:00dbaughManual testing262263--0.305--
2015-02-15T12:51:00VictordeHollanderManual testing263264--0.610--
2015-02-15T12:51:00VictordeHollanderManual testing264265--1.161--
2015-06-24T21:57:00ThaManual testing265266--2.322--
2017-03-17T19:55:21Gordon SpenceManual testing266267--4.644--
2019-01-07T14:44:16TJAOIManual testing267268--9.288--
2021-01-28T21:25:07ViliamFManual testing268269--18.58--


ECM factoring results:

Old Calculation Method

Total ECM effort:7.173 GHz-days
Estimated T-Level:3.050
DigitsB1CurvesCompleteFacMiss
201100061 / 1000.61054.169%
255000061 / 2800.21880.393%

New Calculation Method

Total ECM effort:7.173 GHz-days
Estimated T-Level:3.050
DigitsB1CompleteFacMiss
20110001.96813.977%
25500000.17883.707%
302500000.01198.911%


ECM Summary

B1B2factorcurvesGHz-days
500005000000576.702
50000500000040.470


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-07-05T00:00:00ANONYMOUSv4_computers3FCEDA230C33C4B70.274
1999-10-21T00:00:00ANONYMOUSv4_computers3FCEDA230C33C4B70.274


PRP results:
dateuseridcompidcofactorsres64PRP
2021-08-13T08:56:52GURA LOVE
141967274908396430089657
977E82C32983F94Cno
2021-08-13T22:07:38GANLMS-11
141967274908396430089657
977E82C32983F94Cno


P-1 factor-bounds graph:
B1 = 4000000, B2 = 150000000 (P-1 stage 2)
B1 = 1000000, B2 = 134343300 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 351421, B2 = 6325578 (P-1 stage 2)
B1 = 155000, B2 = 3952500 (P-1 stage 2)
B1 = 351421 (P-1 stage 1)
B1 = 155000 (P-1 stage 1)
B1 = 60000, B2 = 1035000 (P-1 stage 2)
B1 = 99888 (P-1 stage 1)
B1 = 79944 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 15000, B2 = 191250 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-03-11T21:35:40+00:00