is 2 2163349 - 1
has 651233 decimal digits
takes 0.142 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L124D3A167164E4B3double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26827.552167.6471 %50000002000000001.48968.9431 %29.041770.5404 %
Target2620.284064.5161 %100008000000.00511.5197 %0.289065.0554 %
Difference+6+27.2681+3.1309 %+4990000+199200000+1.4845+7.4233%+28.7527+5.4850 %

Known prime factors (1 factor, 71.9 bits, 0.00332327% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
216334943875824803847009594712271.8941014071811895515
3 × 5 × 67 × 317 × 3183049459
2020-01-283173183049459220.9916.53430.880

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-03-07ANONYMOUSv4_computers204820480012--0.0010.776%
2010-11-04JossManual testing1500015000--0.0010.577%
2010-11-07JossManual testing3000030000--0.0030.934%
2011-01-15JossManual testing5000050000--0.0051.272%
2011-01-22markrtiny12000023400006--0.0234.992%
2014-10-05JossManual testing149669149669--0.0142.218%
2016-04-20JossManual testing240000883523012--0.0687.011%
2017-09-05JossManual testing48000048000006---6.663%
2017-09-13JossManual testing57600057600006--0.0827.006%
2019-10-21mikrMSI500000020000000012--1.49013.809%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-03-17ANONYMOUSv4_computers212570.009
1999-01-29ANONYMOUSv4_computers212580.018
2016-02-23Mark RoseManual testing2582600.053
2009-01-04Sturle Sundegoober.ifi2602610.071
2009-01-07Sturle Sundegoscha.ifi2612620.142
2013-01-23dbaughManual testing2622630.454
2015-03-25VictordeHollanderManual testing2632640.908
2015-03-25VictordeHollanderManual testing2642651.727
2015-12-30ramgeisManual testing2652663.454
2016-11-10Gordon SpenceManual testing2662676.908
2019-05-13TJAOIManual testing26726813.82


ECM factoring results:
Total ECM effort:19.943 GHz-days
Estimated T-Level:21.991
DigitsB1CompleteFacMiss
20110004.1921.511%
25500000.39867.158%
302500000.02697.482%
3510000000.00199.879%


ECM Summary

B1B2factorcurvesGHz-days
500005000000423.450
50000500000020.171
53333389147855016.32


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-03-17ANONYMOUSv4_computers124D3A167164E4B30.142
1999-02-07ANONYMOUSv4_computers124D3A167164E4B30.142
2018-04-11kkmrkkblmbrbkold124D3A167164E4B30.142


PRP results:
dateuseridcompidcofactorsres64
2020-01-29Niels_Mache_NextcloudSuperDry-X
4387582480384700959471
44C144C45C76F371
2020-01-29Jinyuan WangManual testing
4387582480384700959471
44C144C45C76F371
2020-01-29marssystemsSystem01
4387582480384700959471
44C144C45C76F371


CERT results:
No CERT results for M2163349


P-1 factor-bounds graph:
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 576000, B2 = 5760000 (P-1 stage 2)
B1 = 480000, B2 = 4800000 (P-1 stage 2)
B1 = 240000, B2 = 8835230 (P-1 stage 2)
B1 = 576000 (P-1 stage 1)
B1 = 480000 (P-1 stage 1)
B1 = 120000, B2 = 2340000 (P-1 stage 2)
B1 = 240000 (P-1 stage 1)
B1 = 149669 (P-1 stage 1)
B1 = 120000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
101
102
103
104
105
106
107
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
258
257
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=21.99 ~= 56-bit
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Last modified: 2024-02-29T14:28:04+00:00