is 2 2170523 - 1
has 653393 decimal digits
takes 0.143 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L0F2BE90545CF130Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26713.689867.1642 %500000150000000.12305.1737 %13.812768.8630 %
Target2620.283064.5161 %110008000000.00511.5674 %0.288265.0723 %
Difference+5+13.4067+2.6481 %+489000+14200000+0.1178+3.6063%+13.5245+3.7907 %

Known prime factors (1 factor, 66.6 bits, 0.00306781% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
21705231108808721762696917212166.58825542431979820
22 × 5 × 7 × 182445942713
2015-02-1171824459427136.8041947.671,770.0

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-03-07ANONYMOUSv4_computers204820480012--0.0010.777%
2010-11-04JossManual testing1500015000--0.0010.578%
2010-11-07JossManual testing3000030000--0.0030.935%
2011-01-15JossManual testing5000050000--0.0051.273%
2011-01-16markrtiny9000016200006--0.0174.436%
2014-06-11JossManual testing119571119571--0.0112.001%
2014-10-03JossManual testing149142149142--0.0142.216%
2016-03-16alpertronManual testing5000001500000012---8.259%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-10-11David Campeauv4_computers2542550.001
1999-01-29ANONYMOUSv4_computers212580.018
2022-03-09LordJuliusManual testing21260
2009-01-05Sturle Sundegonzo.ifi2602610.071
2009-01-07Sturle Sundegibsy.ifi2612620.142
2013-09-09ramgeisManual testing2622630.452


ECM factoring results:
Total ECM effort:9.188 GHz-days
Estimated T-Level:21.741
DigitsB1CompleteFacMiss
20110003.7512.351%
25500000.34870.594%
302500000.02297.817%
3510000000.00199.896%


ECM Summary

B1B2factorcurvesGHz-days
10.085
500005000070.355
500005000000262.084
50000649358380.767
50000701096770.697
534027152082505.199


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-21ANONYMOUSv4_computers0F2BE90545CF130D0.143


PRP results:
dateuseridcompidcofactorsres64
2017-10-09Oliver KruseGTX-2
110880872176269691721
615120FEFF43350F
2017-11-19kkmrkkblmbrbkold
110880872176269691721
615120FEFF43350F


CERT results:
No CERT results for M2170523


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 90000, B2 = 1620000 (P-1 stage 2)
B1 = 149142 (P-1 stage 1)
B1 = 119571 (P-1 stage 1)
B1 = 90000 (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)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
263
262
261
260
258
255
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=21.74 ~= 56-bit
250
260
270
JSON version of this page
Last modified: 2024-02-09T03:30:02+00:00