is 2 3266521 - 1
has 983321 decimal digits
takes 0.343 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-
PRP204B522A5BDD2D91verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26936.548668.1159%100000004000000004.75889.9077%41.307471.2749%3.1590%
PrimeNet2600.047063.3333%140002600000.00422.7734%0.051264.3502%1.0169%
GPU722641.089665.6250%170002800000.00481.6860%1.094466.2046%0.5796%
Difference+5+35.4590+2.4909%+9983000+399720000+4.7540+8.2217%+40.2130+5.0704%+5.0704%

Known prime factors (1 factor, 85.4 bits, 0.00261361% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3266521501393336862905606271323112685.3747674730039435007555
5 × 73973 × 20750084596907
2021-06-0273973207500845969073,881,178172,167321,561

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-08T05:49:00Carsten Kossendeydurandal15000191250---0.004--0.671%
2011-09-17T01:53:00harleeP4_2600600001050000---0.017--1.697%
2014-06-21T17:25:00Jocelyn LaroucheManual testing7964979649---0.012--0.651%
2014-10-10T20:28:00Jocelyn LaroucheManual testing9929899298---0.015--0.746%
2016-01-14T01:19:32Jocelyn LaroucheManual testing37800037800006---0.086--3.224%
2020-11-07T05:57:00mikrMSI400000015000000012---1.821--8.115%
2021-02-13T10:53:46axnManual testing10000000400000000---4.759--9.908%
2022-04-05T14:54:04Jocelyn LaroucheManual testing1000000134316000---1.258--7.013%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-05-20T00:00:00ANONYMOUSv4_computers21260--0.047--
2009-04-03T11:00:00S485122USB-Z260261--0.047--
2011-09-21T15:17:00markroldgamer261262--0.094--
2013-01-03T08:49:00dbaughManual testing262263--0.301--
2015-02-07T18:05:00VictordeHollanderManual testing263264--0.601--
2015-02-07T18:05:00VictordeHollanderManual testing264265--1.144--
2015-06-28T13:57:00ThaManual testing265266--2.288--
2017-04-04T13:00:36Gordon SpenceManual testing266267--4.575--
2018-12-24T09:14:00TJAOIManual testing267268--9.151--
2021-05-31T09:32:38TJAOIManual testing268269--18.30--


ECM factoring results:

Old Calculation Method

Total ECM effort:6.977 GHz-days
Estimated T-Level:2.150
DigitsB1CurvesCompleteFacMiss
201100043 / 1000.43064.910%
255000043 / 2800.15485.740%

New Calculation Method

Total ECM effort:6.977 GHz-days
Estimated T-Level:2.150
DigitsB1CompleteFacMiss
20110001.47422.895%
25500000.13687.270%
302500000.00999.135%


ECM Summary

B1B2factorcurvesGHz-days
500005000000294.219
50000500000060.873
50000680000030.507
800001128000051.378


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-30T00:00:00Dry Creek Photov4_computersABD29172428F80__0.343


PRP results:
dateuseridcompidcofactorsres64PRP
2021-06-09T03:54:23Chang Chia-Tcheexbpc13
50139333686290560627132311
204B522A5BDD2D91no


P-1 factor-bounds graph:
B1 = 10000000, B2 = 400000000 (P-1 stage 2)
B1 = 4000000, B2 = 150000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 1000000, B2 = 134316000 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 378000, B2 = 3780000 (P-1 stage 2)
B1 = 378000 (P-1 stage 1)
B1 = 60000, B2 = 1050000 (P-1 stage 2)
B1 = 99298 (P-1 stage 1)
B1 = 79649 (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: 2022-04-05T14:54:04+00:00