MathDB
P7: k primes (each > k) in AP with CD < k+2 is impossible

Source:

March 31, 2013
arithmetic sequencenumber theoryprime numbers

Problem Statement

(i) Show that there cannot exists three peime numbers, each greater than 33, which are in arithmetic progression with a common difference less than 55.
(ii) Let k>3k > 3 be an integer. Show that it is not possible for kk prime numbers, each greater than kk, to be in an arithmetic progression with a common difference less than or equal to k+1k+1.