is 2 2244611 - 1
has 675696 decimal digits
takes 0.148 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L3D4A25B3FB415CBFdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26826.554767.6471 %36772551287039151.00008.2278 %27.554770.3090 %
Target2620.273764.5161 %110009500000.00591.6592 %0.279665.1049 %
Difference+6+26.2810+3.1309 %+3666255+127753915+0.9941+6.5686%+27.2750+5.2041 %

Known prime factors (1 factor, 73.0 bits, 0.00325003% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
224461191259661927264097413532272.9502032861416237916
22 × 11 × 222163 × 207961703
2021-06-15222163207961703426.061.10022.0175

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-04-03ANONYMOUSv4_computers204820480012--0.0010.784%
2010-11-11JossManual testing3000030000--0.0030.942%
2011-01-07markrtiny10000020750006--0.0204.772%
2014-08-25ANONYMOUSManual testing128595128595--0.0122.082%
2015-12-05Alexander DubrovinManual testing10000001000000012--0.1428.106%
2020-11-04GdSManual testing367725512870391512--1.02712.919%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-02-07ANONYMOUSv4_computers212580.017
2016-02-23Mark RoseManual testing2582600.051
2009-01-10Sturle Sundegibsy.ifi2602610.068
2012-05-03Sebastian HornbostelManual testing2612620.137
2013-12-04LaurVManual testing2622630.437
2015-03-10VictordeHollanderManual testing2632640.875
2015-03-10VictordeHollanderManual testing2642651.665
2015-10-26ramgeisManual testing2652663.329
2017-01-05Gordon SpenceManual testing2662676.658
2019-04-01TJAOIManual testing26726813.32


ECM factoring results:
Total ECM effort:13.519 GHz-days
Estimated T-Level:22.830
DigitsB1CompleteFacMiss
20110006.1150.221%
25500000.56656.783%
302500000.03696.493%
3510000000.00299.833%


ECM Summary

B1B2factorcurvesGHz-days
50000500000015513.17
50000515000040.348


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-14ANONYMOUSv4_computers3D4A25B3FB415CBF0.148
2018-04-22kkmrkkblmbrbkold3D4A25B3FB415CBF0.148


PRP results:
dateuseridcompidcofactorsres64
2021-06-15RichD0Linux-5b
9125966192726409741353
DCE5A49D01825CC7


CERT results:
dateuseridcompid
2021-06-15curtiscjckl2f13987l


P-1 factor-bounds graph:
B1 = 3677255, B2 = 128703915 (P-1 stage 2)
B1 = 3677255 (P-1 stage 1)
B1 = 1000000, B2 = 10000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 100000, B2 = 2075000 (P-1 stage 2)
B1 = 128595 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 30000 (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
109
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
258
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=22.83 ~= 59-bit
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Last modified: 2024-03-03T02:29:32+00:00