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 Triple 8 (Posted on 2013-01-08)
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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