is 2 2235283 - 1
has 672888 decimal digits
takes 0.147 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L10E7FD9DE149A95Bdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26713.293167.1642 %2000000650000000.51797.6582 %13.811069.6788 %
Target2620.274864.5161 %110009500000.00591.6578 %0.280865.1044 %
Difference+5+13.0183+2.6481 %+1989000+64050000+0.5120+6.0005%+13.5303+4.5744 %

Known prime factors (1 factor, 78.8 bits, 0.00352355% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
22352835122797661119583184157832478.761114589464983171777
33329 × 473021 × 7268453
2016-01-08473021726845327,3860.08040.0918

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-03-27ANONYMOUSv4_computers204820480012--0.0010.783%
2010-10-31Oscar Östlin7501175011--0.0071.596%
2011-01-13Oscar Östlin8500016150006--0.0164.415%
2014-06-01JossManual testing113714113714--0.0111.963%
2014-09-30JossManual testing142428142428--0.0142.181%
2015-11-30Alexander DubrovinManual testing100000050000006--0.1167.045%
2016-01-08Alexander DubrovinManual testing2000000650000001222478.7610.51811.421%
2016-04-18alpertronManual testing5000001500000012
skipped known factor: 512279766111958318415783
---8.285%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-02-07ANONYMOUSv4_computers212580.017
2016-02-23Mark RoseManual testing2582600.052
2009-01-11Sturle Sundegoldiek.ifi2602610.069
2012-04-20Sebastian HornbostelManual testing2612620.137
2013-12-03LaurVManual testing2622630.439
2015-03-10VictordeHollanderManual testing2632640.878
2015-03-10VictordeHollanderManual testing2642651.672
2015-10-25ramgeisManual testing2652663.343


ECM factoring results:
Total ECM effort:18.225 GHz-days
Estimated T-Level:21.800
DigitsB1CompleteFacMiss
20110003.7602.328%
25500000.36069.768%
302500000.02397.709%
3510000000.00199.889%


ECM Summary

B1B2factorcurvesGHz-days
500005000000151.147
50000715000080.808
50000311301905013.54
500004503922572.728


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-14ANONYMOUSv4_computers10E7FD9DE149A95B0.147


PRP results:
dateuseridcompidcofactorsres64
2017-09-30alpertronManual testing
512279766111958318415783
8E2630B726130CDA
2017-10-28Oliver KruseGTX-0
512279766111958318415783
8E2630B726130CDA


CERT results:
No CERT results for M2235283


P-1 factor-bounds graph:
B1 = 2000000, B2 = 65000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 1000000, B2 = 5000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 85000, B2 = 1615000 (P-1 stage 2)
B1 = 142428 (P-1 stage 1)
B1 = 113714 (P-1 stage 1)
B1 = 85000 (P-1 stage 1)
B1 = 75011 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
TF factor-bounds graph:
266
265
264
263
262
261
260
258
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=21.8 ~= 56-bit
250
260
270
280
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Last modified: 2024-02-29T14:28:04+00:00