is 2 2215111 - 1
has 666815 decimal digits
takes 0.146 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L4A20B73F40716F96double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26713.414267.1642 %1000000250000000.22006.1247 %13.634269.1753 %
Target2620.277364.5161 %110009000000.00571.6292 %0.283065.0942 %
Difference+5+13.1368+2.6481 %+989000+24100000+0.2143+4.4955%+13.3512+4.0810 %

Known prime factors (1 factor, 73.6 bits, 0.00332429% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2215111146850711342192323957772373.6373314748365707008
28 × 3 × 167 × 4091 × 6317473
2015-11-1540916317473863.540.03320.0613

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-03-16ANONYMOUSv4_computers204820480012--0.0010.781%
2010-10-11Oscar Östlin7501175011--0.0071.593%
2010-12-02Oscar Östlin8500015937506--0.0164.396%
2014-05-26JossManual testing113976113976--0.0111.963%
2014-09-29JossManual testing142952142952--0.0142.181%
2015-04-28Squeeky_SquirrelP4_260016000046000006--0.0385.948%
2015-11-14Alexander DubrovinManual testing100000050000006--0.1167.038%
2015-11-15Alexander DubrovinManual testing1000000250000001222373.6370.2209.485%
2016-04-23alpertronManual testing5000001500000012
skipped known factor: 14685071134219232395777
---8.277%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-02-07ANONYMOUSv4_computers212580.017
2022-03-09LordJuliusManual testing21260
2009-01-08Sturle Sundegorky.ifi2602610.069
2012-04-18Sebastian HornbostelManual testing2612620.139
2013-02-21dbaughManual testing2622630.443
2015-03-06VictordeHollanderManual testing2632640.886
2015-03-06VictordeHollanderManual testing2642651.687
2015-10-22ramgeisManual testing2652663.374


ECM factoring results:
Total ECM effort:8.616 GHz-days
Estimated T-Level:21.545
DigitsB1CompleteFacMiss
20110003.3023.681%
25500000.30973.419%
302500000.02098.053%


ECM Summary

B1B2factorcurvesGHz-days
500005000000151.146
500007000000575.689
500002702353571.781


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-14ANONYMOUSv4_computers4A20B73F40716F960.146


PRP results:
dateuseridcompidcofactorsres64
2017-09-30alpertronManual testing
14685071134219232395777
20A9EAF068950778
2017-10-26Oliver KruseGTX-0
14685071134219232395777
20A9EAF068950778


CERT results:
No CERT results for M2215111


P-1 factor-bounds graph:
B1 = 1000000, B2 = 25000000 (P-1 stage 2)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 1000000, B2 = 5000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 160000, B2 = 4600000 (P-1 stage 2)
B1 = 85000, B2 = 1593750 (P-1 stage 2)
B1 = 160000 (P-1 stage 1)
B1 = 142952 (P-1 stage 1)
B1 = 113976 (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=21.54 ~= 55-bit
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Last modified: 2024-02-29T14:28:04+00:00