is 2 2248723 - 1
has 676934 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-L52BC2B127A3DE90Bdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26713.213767.1642 %1000000200000000.19405.8907 %13.407769.0984 %
Target2620.273264.5161 %110009500000.00591.6598 %0.279165.1051 %
Difference+5+12.9405+2.6481 %+989000+19050000+0.1881+4.2309%+13.1286+3.9933 %

Known prime factors (1 factor, 67.7 bits, 0.00301010% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
22487232378646014301685918312167.68952888817660105
5 × 7 × 107 × 4133 × 3417013
2015-12-064133341701313.2140.01810.0331

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-04-03ANONYMOUSv4_computers204820480012--0.0010.784%
2010-11-06JossManual testing1500015000--0.0010.582%
2010-11-11Oscar Östlin7501175011--0.0071.598%
2011-01-14Oscar Östlin8500016362506--0.0164.431%
2014-06-01JossManual testing113543113543--0.0111.964%
2014-10-03JossManual testing142086142086--0.0142.180%
2015-12-06Alexander DubrovinManual testing1000000200000001222167.6890.1949.161%
2016-05-03alpertronManual testing5000001500000012
skipped known factor: 237864601430168591831
---8.291%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-02-07gbvalorv4_computers212580.017
2022-03-09LordJuliusManual testing21260
2009-01-10Sturle Sundewright.ifi2602610.068
2012-05-04Sebastian HornbostelManual testing2612620.137
2013-01-23dbaughManual testing2622630.437
2015-03-10VictordeHollanderManual testing2632640.873
2015-03-10VictordeHollanderManual testing2642651.662
2015-10-27ramgeisManual testing2652663.323


ECM factoring results:
Total ECM effort:7.536 GHz-days
Estimated T-Level:21.510
DigitsB1CompleteFacMiss
20110003.2443.902%
25500000.30273.927%
302500000.01998.100%


ECM Summary

B1B2factorcurvesGHz-days
500005000000151.148
50000670183670.686
500007000000575.703


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15gbvalorv4_computers52BC2B127A3DE90B0.148


PRP results:
dateuseridcompidcofactorsres64
2017-09-30alpertronManual testing
237864601430168591831
EF65011C31199C1B
2017-10-29Oliver KruseGTX-1
237864601430168591831
EF65011C31199C1B


CERT results:
No CERT results for M2248723


P-1 factor-bounds graph:
B1 = 1000000, B2 = 20000000 (P-1 stage 2)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 85000, B2 = 1636250 (P-1 stage 2)
B1 = 142086 (P-1 stage 1)
B1 = 113543 (P-1 stage 1)
B1 = 85000 (P-1 stage 1)
B1 = 75011 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
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=21.51 ~= 55-bit
250
260
270
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Last modified: 2024-02-29T14:28:04+00:00