is 2 3057283 - 1
has 920334 decimal digits
takes 0.260 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L42EA10F28D23D4DEdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272312.805169.4444 %32483951185158520716.240110.4200 %329.045272.6283 %
Target2641.164265.6250 %1400011000000.00901.4656 %1.173266.1288 %
Difference+8+311.6409+3.8194 %+32469951+1850485207+16.2311+8.9544%+327.8719+6.4995 %

Known prime factors (1 factor, 83.8 bits, 0.00274085% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3057283167884568030006902291396872683.7962745649781685354321
33 × 21851 × 24571 × 189403163
2021-12-2824571189403163951,5451.27642.3786

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2004-02-07ANONYMOUSv4_computers2048204800--0.0020.572%
2010-10-01markrtiny11000024475006--0.0294.198%
2016-10-16Squeeky_SquirrelP4_260019500053625006--0.0595.330%
2017-01-04JossManual testing132000132000---1.711%
2017-10-28mikrMSI300000010000000012--1.02210.974%
2021-12-28oodairacom53248395118515852071222683.79616.2417.136%
2022-02-06JossManual testing1000000119912100--1.13910.426%


Trial Factoring results:
57585960616263646566676869707172
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-06-09David Campeauv4_computers212600.025
2009-02-13Sturle Sundeghini.ifi2602610.050
2011-03-29Sid & AndyBuzz2612620.100
2013-01-07dbaughManual testing2622630.321
2015-02-07VictordeHollanderManual testing2632651.864
2015-06-06ThaManual testing2652662.444
2017-05-09Gordon SpenceManual testing2662674.888
2018-07-28ramgeisManual testing2672689.78
2022-01-20JossManual testing267268
2020-07-03Smok_bmvManual testing26827058.66
2020-07-06Smok_bmvManual testing270272234.6


ECM factoring results:
Total ECM effort:10.323 GHz-days
Estimated T-Level:21.537
DigitsB1CompleteFacMiss
20110003.3253.598%
25500000.30773.533%
302500000.01998.076%


ECM Summary

B1B2factorcurvesGHz-days
500005000000647.350
50000575000070.870
500006750000142.103


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-30ANONYMOUSv4_computers42EA10F28D23D4DE0.260
2000-11-15WillametteMathv4_computers42EA10F28D23D4DE0.260


PRP results:
dateuseridcompidcofactorsres64
2021-12-31/r/counting
16788456803000690229139687
5FEC232CD09D381B


CERT results:
dateuseridcompid
2021-12-31argiloClayton-i3


P-1 factor-bounds graph:
B1 = 32483951, B2 = 1851585207 (P-1 stage 2)
B1 = 32483951 (P-1 stage 1)
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 1000000, B2 = 119912100 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 195000, B2 = 5362500 (P-1 stage 2)
B1 = 110000, B2 = 2447500 (P-1 stage 2)
B1 = 195000 (P-1 stage 1)
B1 = 132000 (P-1 stage 1)
B1 = 110000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
108
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
272
270
268
267
266
265
263
262
261
260
this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=21.54 ~= 55-bit
250
260
270
280
290
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Last modified: 2024-03-13T02:15:48+00:00