# Calculated Sequence of Sequences

• I generated the sequences mathematically in excel.
• A Sequence N can be generated for any N>0 (I think it might be possible for N<0 but I'm not sure how that works. It would not be possible for N=0 because that makes no sense).

Sequence 1:

2,6,30,210,2310,30030,510510,9699690,223092870,6469693230,A


Sequence 2:

2,3,6,5,10,15,30,7,14,21,B


Sequence 3:

2,4,3,6,12,9,18,36,5,10,C


Sequence 4:

2,4,8,3,6,12,24,9,18,36,D


Sequence 5:

?,?,?,?,?


What are the values of A,B,C,D?

What is the beginning of Sequence 5?

Bonus Sequence for extra credit (generated in a similar way but doesn't fit in the Sequence N formula):

2,2,4,8,32,256,24,18,432,7776,?,?


Post Solution Edit (contains how I did it, don't read if you want to work it out yourself):

N is the number of distinct characters or base used for that sequence (N=2 is binary). I then just counted in that base and used the digits as the power values of a prime factorization. I didn't use Excel to calculate the primes, but I did use it to count in base N and do the prime un-factorization.

Here is a google doc that shows the method I used to calculate the sequences: