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Beast number as a substring (Posted on 2017-11-11) Difficulty: 3 of 5
A number of the form 2n is called apocalyptic if its digits contain "666" as a substring.

Find the smallest apocalyptic number.

Helpful hints:
1. n is below 200.
2. n is below 250 for two appearances.
3. below 1000 for three.

No Solution Yet Submitted by Ady TZIDON    
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Solution χξϛ | Comment 1 of 2
The smallest apocalyptic number of the form 2n is the 48-digit number equal to 2157.


Note: It is assumed that the number of sequences of "666" in the number's long form excludes the counts where one of the digits are already included in a sequence already counted. 



Edited on November 11, 2017, 9:40 am
  Posted by Dej Mar on 2017-11-11 09:19:40

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