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A354485 Triangle read by rows: row n gives the arithmetic progression of exactly n primes with minimal final term, cf. A354376.

%I A354485 #33 Jun 05 2022 08:32:02
%S A354485 2,2,3,3,5,7,7,19,31,43,5,11,17,23,29,7,37,67,97,127,157,7,157,307,
%T A354485 457,607,757,907,881,1091,1301,1511,1721,1931,2141,2351,3499,3709,
%U A354485 3919,4129,4339,4549,4759,4969,5179,199,409,619,829,1039,1249,1459,1669,1879,2089
%N A354485 Triangle read by rows: row n gives the arithmetic progression of exactly n primes with minimal final term, cf. A354376.
%C A354485 For the corresponding values of the first term, the last term and the common difference of these arithmetic progressions, see respectively A354377, A354376 and A354484.
%C A354485 Without "exactly", we get A133277.
%C A354485 The primes in these arithmetic progressions need not be consecutive. (The smallest prime at the start of a run of exactly n consecutive primes in arithmetic progressions is A006560(n).)
%D A354485 Richard K. Guy, Unsolved Problems in Number Theory, 3rd Edition, Springer, 2004, Section A5, Arithmetic progressions of primes, pp. 25-28.
%H A354485 Michael S. Branicky, <a href="/A354485/b354485.txt">Table of n, a(n) for n = 1..231</a> (using A354376 and A354377)
%F A354485 T(n, 1) = A354377.
%F A354485 T(n, n) = A354376.
%e A354485 Triangle begins:
%e A354485     2;
%e A354485     2,    3;
%e A354485     3,    5,    7;
%e A354485     7,   19,   31,   43;
%e A354485     5,   11,   17,   23,   29;
%e A354485     7,   37,   67,   97,  127,  157;
%e A354485     7,  157,  307,  457,  607,  757,  907;
%e A354485   881, 1091, 1301, 1511, 1721, 1931, 2141, 2351;
%e A354485   ...
%Y A354485 Cf. A006560, A133277, A354376, A354377, A354484.
%K A354485 nonn,tabl
%O A354485 1,1
%A A354485 _Bernard Schott_, May 29 2022