is 2 2236369 - 1
has 673215 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-L42CF0FF63F9C55CCdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26713.286767.1642 %500000150000000.12305.1923 %13.409768.8691 %
Target2620.274764.5161 %110009500000.00591.6579 %0.280665.1044 %
Difference+5+13.0120+2.6481 %+489000+14050000+0.1171+3.5343%+13.1290+3.7647 %

Known prime factors (1 factor, 94.4 bits, 0.00422264% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2236369267537377857561004336515268412994.4345981512394814116193180
22 × 32 × 5 × 72 × 29 × 70423 × 199889 × 1661273
2015-12-0119988916612731.794e+90.02660.0388

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-03-27ANONYMOUSv4_computers204820480012--0.0010.783%
2010-11-07Oscar Östlin7501175011--0.0071.596%
2011-01-14Oscar Östlin8500016150006--0.0164.415%
2014-06-01JossManual testing113700113700--0.0111.963%
2014-09-30JossManual testing142400142400--0.0142.181%
2015-12-01Alexander DubrovinManual testing10000006000000622994.4340.1217.324%
2016-04-19alpertronManual testing5000001500000012
skipped known factor: 26753737785756100433651526841
---8.286%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-02-07ANONYMOUSv4_computers212580.017
2001-09-16ANONYMOUSv4_computers212580.017
2001-09-30ANONYMOUSv4_computers212580.017
2001-10-20ANONYMOUSv4_computers212580.017
2022-03-09LordJuliusManual testing21260
2009-01-11Sturle Sundeghibu.ifi2602610.069
2012-04-21Sebastian HornbostelManual testing2612620.137
2013-01-23dbaughManual testing2622630.439
2015-03-10VictordeHollanderManual testing2632640.878
2015-03-10VictordeHollanderManual testing2642651.671
2015-10-25ramgeisManual testing2652663.341


ECM factoring results:
Total ECM effort:7.780 GHz-days
Estimated T-Level:21.509
DigitsB1CompleteFacMiss
20110003.2523.871%
25500000.30273.943%
302500000.01998.105%


ECM Summary

B1B2factorcurvesGHz-days
500005000070.355
500005000000221.748
50000622761170.661
500007050000505.016


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-26Dry Creek Photov4_computers42CF0FF63F9C55CC0.147


PRP results:
dateuseridcompidcofactorsres64
2017-09-30alpertronManual testing
26753737785756100433651526841
C4B3AEB3D0A66B27
2017-10-28Oliver KruseGTX-2
26753737785756100433651526841
C4B3AEB3D0A66B27


CERT results:
No CERT results for M2236369


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 1000000, B2 = 6000000 (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 = 142400 (P-1 stage 1)
B1 = 113700 (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
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
280
290
2100
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Last modified: 2024-02-29T14:28:04+00:00