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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