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Sequence 1 (Posted on 2003-06-27) Difficulty: 4 of 5
What are the next 5 digits in the following series?

10101000101000101000

See The Solution Submitted by Ravi Raja    
Rating: 2.4000 (5 votes)

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Solution Explanation to Puzzle Answer Comment 12 of 12 |
(In reply to Answer by K Sengupta)

Let us denote a positive integer by N.

Let us define:
P(N) =1, if N is a prime number
         = 0, if N is composite.
We consider the value of N from 3 to 22 inclusively, and write the corresponding values of P(N) In the second row as follows:

     N:   3  4  5  6  7  8  9  10  11  12  13  14  15  16  17  18  19  20  21  22 
P(N):   1  0  1  0  1  0  0   0    1     0     1   0    0    0    1     0    1    0    0     0  

     N:   23  24  25  26  27
P(N):    1    0    0    0    0

It becomes evident that the second row written cumulatively provides the terms of the given sequence.
The cumulative description of the 23rd to 27th term of the given sequence is then 1 0 0 0 0, as is evident from the second row.
Consequently,  the required next five digits of the given sequence writing cumulatively is: 1 0 0 0 0

  Posted by K Sengupta on 2022-08-27 00:27:00
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