is 2 3233651 - 1
has 973426 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-L8461DFAC73A1DDA4double-checked
PRPC4405B378F02D961verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26936.920168.1159%3000000900000000.95527.3252%37.875370.4515%2.3356%
PrimeNet2600.047563.3333%140002600000.00342.7684%0.050964.3484%1.0151%
GPU722641.100765.6250%160002800000.00371.6532%1.104566.1933%0.5683%
Difference+5+35.8194+2.4909%+2984000+89720000+0.9515+5.6720%+36.7709+4.2582%+4.2582%

Known prime factors (1 factor, 77.1 bits, 0.00238538% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
32336511659086997993296010330412477.13525653464118318520
23 × 5 × 11 × 17 × 31 × 110632500079
2021-08-123111063250007918,030743.871,389.3

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-03T21:37:00Carsten Kossendeydurandal15000191250---0.003--0.669%
2011-09-08T00:50:00harleeP4_2600600001035000---0.014--1.688%
2014-06-11T02:09:00Jocelyn LaroucheManual testing7984979849---0.010--0.651%
2014-09-29T22:05:00Jocelyn LaroucheManual testing9969899698---0.012--0.747%
2016-01-12T16:09:37Squeeky_SquirrelP4_260016500044550006---0.049--2.955%
2016-07-10T03:01:15Jocelyn LaroucheManual testing37570589100006---0.104--3.887%
2020-01-19T13:48:47BigBrotherWinston30000009000000012---0.955--7.325%
2022-03-12T12:05:02Jocelyn LaroucheManual testing1000000134343300---1.020--7.006%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-04-05T00:00:00ANONYMOUSv4_computers21259--0.024--
2001-05-20T00:00:00ANONYMOUSv4_computers21260--0.047--
2009-04-04T21:27:00S485122USB-A260261--0.047--
2011-09-21T01:20:00Grant McCrackenthumper261262--0.095--
2013-01-03T08:49:00dbaughManual testing262263--0.304--
2015-02-15T12:51:00VictordeHollanderManual testing263264--0.607--
2015-02-15T12:51:00VictordeHollanderManual testing264265--1.155--
2015-06-24T21:57:00ThaManual testing265266--2.311--
2017-03-26T03:14:46Gordon SpenceManual testing266267--4.622--
2018-11-26T14:19:37TJAOIManual testing267268--9.244--
2021-02-02T07:19:10ViliamFManual testing268269--18.49--


ECM factoring results:

Old Calculation Method

Total ECM effort:8.339 GHz-days
Estimated T-Level:3.300
DigitsB1CurvesCompleteFacMiss
201100066 / 1000.66051.514%
255000066 / 2800.23678.967%

New Calculation Method

Total ECM effort:8.339 GHz-days
Estimated T-Level:3.300
DigitsB1CompleteFacMiss
20110002.20211.062%
25500000.20081.861%
302500000.01298.772%


ECM Summary

B1B2factorcurvesGHz-days
500005000000222.589
500005000000131.530
500006750000283.810
50000680000030.410


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-05-16T00:00:00ANONYMOUSv4_computers8461DFAC73A1DDA40.275
1998-06-28T00:00:00ANONYMOUSv4_computers8461DFAC73A1DDA40.275
1999-06-15T00:00:00ANONYMOUSv4_computers8461DFAC73A1DDA40.275


PRP results:
dateuseridcompidcofactorsres64PRP
2021-08-12T22:25:37GURA LOVE
165908699799329601033041
C4405B378F02D961no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 134343300 (P-1 stage 2)
B1 = 3000000, B2 = 90000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 375705, B2 = 8910000 (P-1 stage 2)
B1 = 165000, B2 = 4455000 (P-1 stage 2)
B1 = 375705 (P-1 stage 1)
B1 = 165000 (P-1 stage 1)
B1 = 60000, B2 = 1035000 (P-1 stage 2)
B1 = 99698 (P-1 stage 1)
B1 = 79849 (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: 2022-03-12T12:05:02+00:00