primes in arithmetic progression

[N. J. A. Sloane]

Just to get the ball rolling, I am adding this entry:

%I A124064
%S A124064 2,2,2,2,3,2,2,3,3,2,2,5,3
%N A124064 Array read by antidiagonals: T(d,k) (k >= 1, d = 2,4,6,8,...) = smallest prime p of k (not necessarily consecutive) primes in arithmetic progression with common difference d.
%C A124064 The row d=0 and the column k=1 are degenerate and are filled with the prime 2.
%O A124064 1,1
%K A124064 nonn,tabl,more
%e A124064 Array begins:
%e A124064 d.\...k=1.k=2..k=3..k=4..k=5..k=6
%e A124064 0..|..2...2....2....2....2....2
%e A124064 2..|..2...3....3
%e A124064 4..|..2...3....3
%e A124064 6..|..2...5....5....5....5
%e A124064 8..|..2...3....3
%e A124064 10.|..2...3....3
%e A124064 12.|..2...5....5....5....5
%e A124064 14.|..2...3....3.
%e A124064 16.|..2...3
%e A124064 18.|..2...5....5....5
%e A124064 20.|..2...3
%e A124064 22.|..2...7
%e A124064 24.|..2...5....5...59
%e A124064 26.|..2...3
%e A124064 28.|..2...3....3
%e A124064 30.|..2...7....7....7.....7....7
%e A124064 32.|..2...5
%e A124064 34.|..2...3....3
%e A124064 36.|..2...5....7...31
%e A124064 Example for row d=24 and column k=4: the 4 numbers 59,59+24,59+2*24 and 59+3*24 are all primes.
%A A124064 Richard Mathar (mathar(AT)strw.leidenuniv.nl), Nov 04 2006




NJAS