Give an algorithm to find nth number generated from list of prime numbers?

Question

Example :
Let the list be {2,3,5} and Assume always 1 be included then

2th number is 2
3th number is 3
4th number is 4
5th number is 5
6th number is 6
7th number is 8
8th number is 9
9th number is 10
10th number is 12
11th number is 15 and so on...

Comments

I hope I understood correctly, but how 6th prime number can be 6 (6 is not prime)

Also check if it helps to find a prime number
if a^n mod n = a mod n then n is a prime number, choose a as 2. its called Fermat's Little Theorem.

Answer 1

Salil: Raghu is asking for Hamming Sequnce.

Raghu: Please see the following link should be helpful.
http://web.cecs.pdx.edu/~black/AdvancedProgramming/Lectures/Hamming%20Closures/Hamming-6up.pdf

Comments

Thanks alot Jai Prakash, This was really very helpful.