is 2 10547519 - 1
has 3175120 decimal digits
takes 3.446 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L341E804551F17A94double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual273181.354967.1233 %4980002229984905.97795.4533 %187.332868.9162 %
Target2685.651164.7059 %7000085000000.25072.7067 %5.901865.6612 %
Difference+5+175.7038+2.4174 %+428000+214498490+5.7272+2.7466%+181.4310+3.2550 %

Known prime factors (1 factor, 95.1 bits, 0.00090192% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
10547519433567197118478570809958974572995.1302055304176832857901512
23 × 3 × 2539 × 14713 × 443761 × 5165969
2022-01-294437615165969980,054,7990.33210.4278

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2004-04-29shaneamyv4_computers12500025312506--0.1213.293%
2022-01-29Zhang Ruichongv30849800022299849022995.1307.0458.544%


Trial Factoring results:
5758596061626364656667686970717273
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-09-30ANONYMOUSv4_computers212640.186
2013-12-19lycornManual testing2642650.354
2015-05-07ThaManual testing2652660.708
2015-11-14VictordeHollanderManual testing2662671.417
2017-12-12ramgeisManual testing2672698.502
2020-08-16ViliamFManual testing26927011.34
2021-08-12SRBaseManual testing27027122.67
2021-10-31SRBaseManual testing27127245.34
2021-12-31ANONYMOUSManual testing27227390.69


ECM factoring results:
Total ECM effort:1.011 GHz-days
Estimated T-Level:0.385
DigitsB1CompleteFacMiss
20110000.07792.596%
25500000.00799.291%


ECM Summary

B1B2factorcurvesGHz-days
50000500000021.011


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-09-23ANONYMOUSv4_computers341E804551F17A943.446
2004-07-13shaneamyv4_computers341E804551F17A943.446


PRP results:
dateuseridcompidcofactorsres64
2022-02-04Poaooffice-CN2
43356719711847857080995897457
7C4EB2C05D4F64FA


CERT results:
dateuseridcompid
2022-02-04skippyddeb2


P-1 factor-bounds graph:
B1 = 498000, B2 = 222998490 (P-1 stage 2)
B1 = 498000 (P-1 stage 1)
B1 = 125000, B2 = 2531250 (P-1 stage 2)
B1 = 125000 (P-1 stage 1)
104
105
106
104
105
106
107
108
109
TF factor-bounds graph:
273
272
271
270
269
267
266
265
264
this exponent TF target: 68
TF double-checked to: 67
ECM T-Level=0.38 ~= -15-bit
250
260
270
280
290
2100
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Last modified: 2024-03-13T02:15:48+00:00