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Triangle read by rows: n-th row is the lexicographically earliest arithmetic progression of n primes beginning with A007918(n).
5

%I #6 Mar 30 2012 17:29:55

%S 2,2,3,3,5,7,5,11,17,23,5,11,17,23,29,7,37,67,97,127,157,7,157,307,

%T 457,607,757,907,11,1210241,2420471,3630701,4840931,6051161,7261391,

%U 8471621,11,32671181,65342351,98013521,130684691,163355861,196027031,228698201,261369371

%N Triangle read by rows: n-th row is the lexicographically earliest arithmetic progression of n primes beginning with A007918(n).

%C If we omit the first row, is this the same triangle as A113460? Equivalently, do A061558 and A113461 agree apart from the initial term? Answer: almost certainly not!

%H Ray Chandler, <a href="/A130791/b130791.txt">Table of n, a(n) for n=1..153</a>

%H Andrew Granville, <a href="http://www.dms.umontreal.ca/~andrew/PDF/PrimePattMonthly.pdf">Prime Number Patterns</a>

%H <a href="/index/Pri#primes_AP">Index entries for sequences related to primes in arithmetic progressions</a>

%e Triangle begins:

%e 2

%e 2 3

%e 3 5 7

%e 5 11 17 23

%e 5 11 17 23 29

%e 7 37 67 97 127 157

%e 7 157 307 457 607 757 907

%e 11 1210241 2420471 3630701 4840931 6051161 7261391 8471621

%e 11 32671181 65342351 98013521 130684691 163355861 196027031 228698201 261369371

%Y For common differences see A061558.

%K nonn,tabl

%O 1,1

%A _N. J. A. Sloane_, Sep 22 2007, Oct 17 2007

%E Extended by _Ray Chandler_, Sep 22 2007