A number of the form
2^{n} 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.
The smallest apocalyptic number of the form
2^{n }is the 48digit number equal to
2^{157}.
2^{157}=182687704
666362864775460604089535377456991567872
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.
2^{220}=168499
66666969149871
66688442938726917102321526408785780068975640576
2^{931}=181520618710
6668777829
666135436890332191479738353753001777065257954029122510259245050254290156440857653562895251700406555730694879815558725330603736697259064676478076718090
6664339433713797579795779287057890032192456881698082005372169886461674177955114893128728688280185836979355648
Edited on November 11, 2017, 9:40 am

Posted by Dej Mar
on 20171111 09:19:40 