# Question:How to keep incremental count in Maple?

## Question:How to keep incremental count in Maple?

Maple 2017

I am trying to count of the number of primes p such that when p is concatenated with 1 (ie p1, or 10*p+1),  if p1 is composite then we record the result 1, else  2. This gives the minimum k for which the concatenation pk is composite, and k is always either 1 or 2. It would be interesting to compare the number of primes with 1 and those with 2 up to a given max. I have already written a code which calculates the 1 or 2 for each prime but have not managed to adapt it keep count.

I would like to have a code to keep a count  of the 1s and 2s, thus being able to say that up to 10^k we see {a, b} where a is the number of primes with "1" and b is the number with "2".

Ideally I would like to be able to output plots of these data for any k =1,2,3,... up to a pre declared maximum k value, so as to make comparative graphs. I do not know how to organise the counting process, or if it is possible to get Maple to do the plots as well. Can anyone please assist me with this? I have Maple 2017.

Best regards,

David.

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