All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Numbers
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    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution χξϛ | Comment 1 of 2
The smallest apocalyptic number of the form 2n is the 48-digit number equal to 2157.


2157=182687704666362864775460604089535377456991567872

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. 

2220=1684996666696914987166688442938726917102321526408785780068975640576

2931
=18152061871066687778296661354368903321914797383537530017770652579540291225102592450502542901564408576535628952517004065557306948798155587253306037366972590646764780767180906664339433713797579795779287057890032192456881698082005372169886461674177955114893128728688280185836979355648




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

Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (0)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information