is 2 3288023 - 1
has 989794 decimal digits
takes 0.345 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26936.309668.1159%3288023333480378028.143011.7315%64.452671.8564%3.7405%
PrimeNet2600.046763.3333%140002600000.00422.7766%0.050964.3514%1.0181%
GPU722641.082565.6250%170002800000.00481.6881%1.087366.2053%0.5803%
Difference+5+35.2271+2.4909%+3271023+3334523780+28.1382+10.0435%+63.3653+5.6512%+5.6512%

Known prime factors (4 factors, 211.1 bits, 0.00641976% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
328802318939012491030.819288
25 × 32
-994.622e-111.371e-62.789e-6
32880236677562855239031549.246101543737
17 × 5973161
2014-04-251759731612.655e-50.04960.0926
328802398296963936047804311963.0921494773058705
3 × 5 × 99651537247
2016-12-135996515372470.5455826.831,544.3
32880232804346364261342954092167.92642644871466248
23 × 3 × 37501 × 47381927
2018-09-25375014738192712.3190.39850.7343

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
328802312646644631813205110548472580.065
3288023186164742771388892706416583192993.911
32880235311155081903166383168400658413098.745
3288023656384155162123336854398411714219334112.338
328802318726199115216166134096743133266132736117.173
3288023275658733431984007480056955857833634127940131.018
32880231243126771285355185160592883089176163329905744143.157
328802335465571893330591946357323306924902169929742345147.991
3288023522070419544592568314505211290288986109038835747149161.837
328802318407285190876537843551176190286025501808233327200
91937
55180.264
328802334861580413700278426697339182201765365120464856869
24686879129313
64211.083
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2020-07-02T19:41:01Jocelyn LaroucheManual testing35072065760466-
skipped known factor: 1893901249
skipped known factor: 667756285523903
--0.105--3.622%
2021-09-11T10:41:46Jocelyn LaroucheManual testing32880233288023-
skipped known factor: 1893901249
--0.501--3.493%
2021-09-16T01:49:36Jocelyn LaroucheManual testing32880231315209212-
skipped known factor: 1893901249
skipped known factor: 667756285523903
--0.583--5.108%
2021-11-02T11:00:12Jocelyn LaroucheManual testing328802313152092012-
skipped known factor: 1893901249
skipped known factor: 667756285523903
skipped known factor: 280434636426134295409
--1.565--7.843%
2022-03-21T14:13:17Jocelyn LaroucheManual testing32880231021782300-
skipped known factor: 1893901249
skipped known factor: 667756285523903
skipped known factor: 280434636426134295409
--8.951--10.309%
2022-07-25T15:12:26Jocelyn LaroucheManual testing32880233334803780-
skipped known factor: 1893901249
skipped known factor: 667756285523903
skipped known factor: 280434636426134295409
--28.14--11.732%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2014-04-25T10:33:00TJAOIManual testing??49.246153.73725e-60.7478.08914e-6
2016-12-12T17:31:44TJAOIManual testing263264*63.092190.0600.7010.122
2021-01-02T03:20:59Jocelyn LaroucheManual testing264265--1.136--
2021-01-20T09:17:52Jocelyn LaroucheManual testing265266--2.273--
2021-01-28T15:12:34Jocelyn LaroucheManual testing266267--4.545--
2022-03-08T00:19:47LordJuliusManual testing26726867.926213.2820.7016.661
2021-08-29T21:24:46Jocelyn LaroucheManual testing268269--18.18--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.437 GHz-days
Estimated T-Level:0.150
DigitsB1CurvesCompleteFacMiss
20110003 / 1000.03097.030%
25500003 / 2800.01198.932%

New Calculation Method

Total ECM effort:0.437 GHz-days
Estimated T-Level:0.150
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.437


Lucas-Lehmer results:
No L-L results for M3288023


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-03T14:41:21Oliver KruseGTX-0
1893901249
667756285523903
9829696393604780431
373D5223BD0753__no
2017-12-14T10:49:30kkmrkkblmbrbkc4.xlarge
1893901249
667756285523903
9829696393604780431
373D5223BD0753__no
2018-09-26T09:41:18Oliver KruseGTX-2
1893901249
667756285523903
9829696393604780431
280434636426134295409
373D5223BD0753__no


P-1 factor-bounds graph:
B1 = 3288023, B2 = 3334803780 (P-1 stage 2)
B1 = 3288023, B2 = 1021782300 (P-1 stage 2)
B1 = 3288023, B2 = 131520920 (P-1 stage 2)
B1 = 3288023, B2 = 13152092 (P-1 stage 2)
B1 = 3288023 (P-1 stage 1)
B1 = 350720, B2 = 6576046 (P-1 stage 2)
B1 = 350720 (P-1 stage 1)
100
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103
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107
100
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1010
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TF factor-bounds graph:
269
268
267
266
265
264
2
230
240
250
260
270
280
290
2100
Last modified: 2022-07-25T15:12:26+00:00