is 2 3261703 - 1
has 981871 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-
PRP30911A35D774B38Bverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26818.274267.6471%100000004000000004.758810.6362%23.033071.0882%3.4411%
PrimeNet2600.047163.3333%140002600000.00422.7726%0.051364.3500%1.0166%
GPU722641.091265.6250%170002800000.00481.6855%1.096066.2044%0.5794%
Difference+4+17.1829+2.0221%+9983000+399720000+4.7540+8.9507%+21.9369+4.8838%+4.8838%

Known prime factors (1 factor, 77.8 bits, 0.00238536% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
32617032637451914730343723173692477.80340430595837977028
22 × 32 × 1123072106610473
2021-01-269112307210661047312,6509,318,34817,404,078

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-06T04:17:00Carsten Kossendeydurandal15000191250---0.004--0.786%
2011-09-15T08:48:00harleeP4_2600600001050000---0.017--1.930%
2014-06-13T02:40:00Jocelyn LaroucheManual testing7967879678---0.012--0.754%
2014-10-07T22:12:00Jocelyn LaroucheManual testing9935699356---0.015--0.861%
2016-01-20T03:06:56Jocelyn LaroucheManual testing41580041580006---0.094--3.698%
2020-09-29T04:45:49mikrMSI400000015000000012---1.821--8.777%
2021-01-29T03:06:07axnManual testing10000000400000000---4.759--10.636%
2022-04-02T19:48:42Jocelyn LaroucheManual testing1000000134316000---1.258--7.646%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-05-20T00:00:00ANONYMOUSv4_computers21260--0.047--
2009-04-03T10:31:00S485122USB-A260261--0.047--
2011-10-03T20:15:00markrManual testing21262--0.188--
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--9.164--


ECM factoring results:

Old Calculation Method

Total ECM effort:6.820 GHz-days
Estimated T-Level:1.650
DigitsB1CurvesCompleteFacMiss
201100033 / 1000.33071.773%
255000033 / 2800.11888.864%

New Calculation Method

Total ECM effort:6.820 GHz-days
Estimated T-Level:1.650
DigitsB1CompleteFacMiss
20110001.53521.540%
25500000.15985.274%
302500000.01198.870%


ECM Summary

B1B2factorcurvesGHz-days
500005000000152.182
50000680000030.507
8000011280000102.754
800001128000051.377


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-15T00:00:00ANONYMOUSv4_computers133A2D5D0A8C72__0.343


PRP results:
dateuseridcompidcofactorsres64PRP
2021-01-26T08:52:48ViliamF3
263745191473034372317369
30911A35D774B38Bno


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 = 99356 (P-1 stage 1)
B1 = 79678 (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: 2022-04-02T19:48:42+00:00