is 2 3261451 - 1
has 981795 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-
PRP4E4CD18B76E4A395verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26936.605468.1159%100000004000000004.75889.9064%41.364271.2745%3.1586%
PrimeNet2600.047163.3333%140002600000.00422.7726%0.051364.3500%1.0166%
GPU722641.091365.6250%170002800000.00481.6855%1.096166.2044%0.5794%
Difference+5+35.5141+2.4909%+9983000+399720000+4.7540+8.2209%+40.2681+5.0701%+5.0701%

Known prime factors (1 factor, 74.7 bits, 0.00228941% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3261451300096767285074365406312374.6684600663436076065
5 × 937 × 981998598949
2021-06-219379819985989491,479.08,147.815,218

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-06T04:16:00Carsten Kossendeydurandal15000191250---0.004--0.670%
2011-09-15T06:13:00harleeP4_2600600001050000---0.017--1.696%
2014-06-13T02:40:00Jocelyn LaroucheManual testing7968079680---0.012--0.651%
2014-10-07T22:12:00Jocelyn LaroucheManual testing9936099360---0.015--0.746%
2016-01-20T03:06:56Jocelyn LaroucheManual testing41580041580006---0.094--3.335%
2020-09-26T11:16:24mikrMSI400000015000000012---1.821--8.113%
2021-01-29T03:06:06axnManual testing10000000400000000---4.759--9.906%
2022-04-02T19:48:45Jocelyn LaroucheManual testing1000000134316000---1.258--7.012%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-05-20T00:00:00ANONYMOUSv4_computers21260--0.047--
2009-04-03T10:32:00S485122USB-Z260261--0.047--
2011-09-25T01:24:00Grant McCrackenthumper261262--0.094--
2012-12-30T00:02:00dbaughManual testing262263--0.301--
2015-02-18T11:41:00VictordeHollanderManual testing263264--0.602--
2015-02-18T11:41:00VictordeHollanderManual testing264265--1.146--
2015-06-28T13:57:00ThaManual testing265266--2.291--
2017-04-04T13:00:34Gordon SpenceManual testing266267--4.582--
2019-01-07T14:44:12TJAOIManual testing267268--9.165--
2021-02-08T00:20:52ViliamFManual testing268269--18.33--


ECM factoring results:

Old Calculation Method

Total ECM effort:7.238 GHz-days
Estimated T-Level:1.800
DigitsB1CurvesCompleteFacMiss
201100036 / 1000.36069.641%
255000036 / 2800.12987.915%

New Calculation Method

Total ECM effort:7.238 GHz-days
Estimated T-Level:1.800
DigitsB1CompleteFacMiss
20110001.39824.700%
25500000.13687.309%
302500000.00999.079%


ECM Summary

B1B2factorcurvesGHz-days
500005000000152.182
50000500000030.436
50000635000030.489
8000011280000154.131


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-26T00:00:00ANONYMOUSv4_computers8E196B95DA62E0__0.343


PRP results:
dateuseridcompidcofactorsres64PRP
2021-06-22T08:09:56kutenssol
30009676728507436540631
4E4CD18B76E4A395no


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 = 415800, B2 = 4158000 (P-1 stage 2)
B1 = 415800 (P-1 stage 1)
B1 = 60000, B2 = 1050000 (P-1 stage 2)
B1 = 99360 (P-1 stage 1)
B1 = 79680 (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: 2022-04-02T19:48:45+00:00