is 2 3327497 - 1
has 1001677 decimal digits
takes 0.349 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-
PRP9A4C73363897AA94verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26817.912867.6471%3000000900000001.17877.9718%19.091670.2262%2.5791%
PrimeNet2600.046263.3333%140002600000.00422.7826%0.050364.3536%1.0203%
GPU722641.069765.6250%170003000000.00491.7249%1.074666.2179%0.5929%
Difference+4+16.8432+2.0221%+2983000+89700000+1.1738+6.2469%+18.0169+4.0082%+4.0082%

Known prime factors (1 factor, 73.4 bits, 0.00220606% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3327497125184866934346856179992373.4061881066563461167
3 × 627022187820389
2021-02-063627022187820389824.615,202,5259,716,868

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-03T21:39:00Carsten Kossendeydurandal15000195000---0.004--0.794%
2010-09-14T15:42:00markrtiny950002042500---0.031--2.516%
2016-04-22T12:56:13harleeP4_2600225000658125012---0.087--3.778%
2020-01-11T12:08:49BigBrotherWinston30000009000000012---1.179--7.972%
2022-04-08T06:41:06Jocelyn LaroucheManual testing1000000115661700---1.104--7.499%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-09-10T00:00:00ANONYMOUSv4_computers21260--0.046--
2009-03-30T15:04:00S485122USB-Z260261--0.046--
2011-09-04T00:44:00markroldgamer261262--0.092--
2012-08-25T21:54:00GrunwalderGIMPManual testing21263--0.480--
2016-02-23T16:29:25Mark RoseManual testing262263--0.295--
2015-02-11T09:06:00VictordeHollanderManual testing263264--0.590--
2015-02-11T09:06:00VictordeHollanderManual testing264265--1.123--
2016-03-02T14:55:22ramgeisManual testing265266--2.246--
2017-02-27T22:17:41Gordon SpenceManual testing266267--4.492--
2018-11-19T15:52:48TJAOIManual testing267268--8.983--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.920 GHz-days
Estimated T-Level:1.000
DigitsB1CurvesCompleteFacMiss
201100020 / 1000.20081.791%
255000020 / 2800.07193.094%

New Calculation Method

Total ECM effort:2.920 GHz-days
Estimated T-Level:1.000
DigitsB1CompleteFacMiss
20110000.76946.337%
25500000.07193.130%
302500000.00499.552%


ECM Summary

B1B2factorcurvesGHz-days
500005000000152.190
50000500000050.730


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-09-14T00:00:00ANONYMOUSv4_computers57E8F53D9513B0__0.349


PRP results:
dateuseridcompidcofactorsres64PRP
2021-02-07T00:51:15ViliamF3
12518486693434685617999
9A4C73363897AA94no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 90000000 (P-1 stage 2)
B1 = 1000000, B2 = 115661700 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 225000, B2 = 6581250 (P-1 stage 2)
B1 = 225000 (P-1 stage 1)
B1 = 95000, B2 = 2042500 (P-1 stage 2)
B1 = 95000 (P-1 stage 1)
B1 = 15000, B2 = 195000 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
Last modified: 2022-04-08T06:41:06+00:00