primes in arithmetic progression

Richard Mathar mathar at strw.leidenuniv.nl
Sat Nov 4 18:20:07 CET 2006


Is there an OEIS table that shows the smallest prime p
of k (not necessarily consecutive) primes in arithmetic progression
with common difference d? The table would look similar to this one
below, and contain rather large primes where I am leaving blanks:

    k=1 k=2  k=3  k=4  k=5  k=6
d
0     2   2    2    2    2    2
2     2   3    3
4     2   3    3
6     2   5    5    5    5
8     2   3    3
10    2   3    3
12    2   5    5    5    5
14    2   3    3 
16    2   3
18    2   5    5    5
20    2   3
22    2   7
24    2   5    5   59
26    2   3
28    2   3    3
30    2   7    7    7     7    7
32    2   5
34    2   3    3
36    2   5    7   31

The row d=0 and the column k=1 are degenerate and filled with the
prime 2. All strides d are even. 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.

http://www.research.att.com/~njas/sequences/Sindx_Pri.html#primes_AP

--Richard






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