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Triple 8 (Posted on 2013-01-08) Difficulty: 2 of 5
What is the smallest power of 2 that ends in 888?

See The Solution Submitted by Math Man    
Rating: 3.0000 (1 votes)

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re: Generalisation | Comment 4 of 9 |
(In reply to Generalisation by broll)

"Finding  2^n ending in 8888 is a bit more of a challenge..."

Indeed, as the mod 10000 cycle goes in a repeating cycle of 3,1,9,7,5,... for the digit before 888:

   39          3888
  139          1888
  239          9888
  339          7888
  439          5888
  539          3888
  639          1888
  739          9888
  839          7888
  939          5888
 1039          3888
 1139          1888
 1239          9888
 1339          7888
 1439          5888
 1539          3888
 1639          1888
 1739          9888
 1839          7888
 1939          5888
 2039          3888
 2139          1888
 2239          9888
 2339          7888
 2439          5888
 2539          3888
 2639          1888
 2739          9888
 2839          7888
 2939          5888
 3039          3888
 3139          1888
 3239          9888
 3339          7888
 3439          5888
 3539          3888
 3639          1888
 3739          9888
 3839          7888
 3939          5888

  Posted by Charlie on 2013-01-08 11:33:42
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