What is the lowest arithmetic sequence of positive prime integers that has 3 terms? 5 terms? 8 terms?

What is the constant difference for the lowest N positive prime integers in arithmetic sequence?

What would the first term be for such a sequence?

(A prime sequence is "lowest" if the average of its terms is the lowest. If any are tied then it is the one with the smallest starting term.)

Lowest three positive prime integers in arithmetic sequence are:
5, 11 and 17.

Posted by K Sengupta on 2007-04-20 15:04:22