is 2 3226147 - 1
has 971168 decimal digits
takes 0.275 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-
PRP79C0B344C7329EA6verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26818.475667.6471%40000001500000001.47538.7677%19.950970.4837%2.8366%
PrimeNet2600.047663.3333%130002400000.00312.6614%0.050764.3092%0.9758%
GPU722641.103365.6250%160002600000.00361.6182%1.106966.1813%0.5563%
Difference+4+17.3723+2.0221%+3984000+149740000+1.4717+7.1494%+18.8440+4.3024%+4.3024%

Known prime factors (1 factor, 72.5 bits, 0.00224573% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
322614764533746139051935801532272.4511000167477474708
22 × 32 × 17 × 1583 × 1032381923
2020-12-2615831032381923553.646.941712.965

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-03T00:39:00Carsten Kossendeydurandal15000191250---0.003--0.784%
2011-09-06T00:35:00harleeP4_2600600001035000---0.014--1.919%
2014-06-09T10:17:00Jocelyn LaroucheManual testing7989579895---0.010--0.754%
2014-09-29T22:05:00Jocelyn LaroucheManual testing9979099790---0.012--0.861%
2015-12-18T13:29:22Squeeky_SquirrelP4_260015500039525006---0.045--3.182%
2016-05-08T19:20:09Jocelyn LaroucheManual testing37820868077446---0.090--4.072%
2020-03-27T01:42:53mikrMSI400000015000000012---1.475--8.768%
2021-01-18T06:10:49Jocelyn LaroucheManual testing40820832261476---0.069--3.469%
2022-01-24T00:02:06Jocelyn LaroucheManual testing1072614119912100---0.931--7.570%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-05-27T00:00:00ANONYMOUSv4_computers21260--0.048--
2009-04-04T22:21:00S485122USB-A260261--0.048--
2011-09-15T02:25:00markroldgamer261262--0.095--
2013-01-03T08:47:00dbaughManual testing262263--0.304--
2015-02-15T12:51:00VictordeHollanderManual testing263264--0.609--
2015-02-15T12:51:00VictordeHollanderManual testing264265--1.158--
2015-06-24T21:57:00ThaManual testing265266--2.316--
2021-02-21T11:36:42Jocelyn LaroucheManual testing265266--2.316--
2021-02-22T09:03:46Jocelyn LaroucheManual testing266267--4.633--
2017-03-20T00:06:23Gordon SpenceManual testing266267--4.633--
2018-12-10T15:07:57TJAOIManual testing267268--9.265--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.235 GHz-days
Estimated T-Level:0.950
DigitsB1CurvesCompleteFacMiss
201100019 / 1000.19082.617%
255000019 / 2800.06893.428%

New Calculation Method

Total ECM effort:2.235 GHz-days
Estimated T-Level:0.950
DigitsB1CompleteFacMiss
20110000.61354.178%
25500000.05594.611%
302500000.00399.659%


ECM Summary

B1B2factorcurvesGHz-days
500005000000151.765
50000500000040.471


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-04T00:00:00ANONYMOUSv4_computers26D6B74ED57AAD__0.275


PRP results:
dateuseridcompidcofactorsres64PRP
2020-12-27T08:52:37Niels_Mache_Nextcloudconf4-a
6453374613905193580153
79C0B344C7329EA6no


P-1 factor-bounds graph:
B1 = 4000000, B2 = 150000000 (P-1 stage 2)
B1 = 1072614, B2 = 119912100 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 1072614 (P-1 stage 1)
B1 = 378208, B2 = 6807744 (P-1 stage 2)
B1 = 408208, B2 = 3226147 (P-1 stage 2)
B1 = 408208 (P-1 stage 1)
B1 = 378208 (P-1 stage 1)
B1 = 155000, B2 = 3952500 (P-1 stage 2)
B1 = 155000 (P-1 stage 1)
B1 = 60000, B2 = 1035000 (P-1 stage 2)
B1 = 99790 (P-1 stage 1)
B1 = 79895 (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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1010
TF factor-bounds graph:
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Last modified: 2022-01-24T00:02:06+00:00