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A086786 Triangle read by rows: n-th row is the smallest set of n numbers in arithmetic progression with the same prime signature.

%I A086786 #14 Jan 03 2020 10:17:18
%S A086786 1,2,3,3,5,7,5,11,17,23,5,11,17,23,29,7,37,67,97,127,157,481,485,489,
%T A086786 493,497,501,505,635,707,779,851,923,995,1067,1139,635,707,779,851,
%U A086786 923,995,1067,1139,1211,199,409,619,829,1039,1249,1459,1669,1879,2089,3841
%N A086786 Triangle read by rows: n-th row is the smallest set of n numbers in arithmetic progression with the same prime signature.
%C A086786 In this sequence "smallest" means that the last term of the arithmetic progression is minimized. A113460 minimizes the first term.
%H A086786 <a href="/index/Pri#primes_AP">Index entries for sequences related to primes in arithmetic progressions</a>
%e A086786 Triangle begins:
%e A086786 1
%e A086786 2,3
%e A086786 3,5,7
%e A086786 5,11,17,23
%e A086786 5,11,17,23,29
%e A086786 7,37,67,97,127,157
%e A086786 481,485,489,493,497,501,505
%e A086786 635,707,779,851,923,995,1067,1139
%e A086786 635,707,779,851,923,995,1067,1139,1211
%e A086786 199,409,619,829,1039,1249,1459,1669,1879,2089
%e A086786 ...
%Y A086786 A087310 contains the corresponding common differences, A087308 the initial terms, A087309 the final terms.
%Y A086786 Cf. A087308, A087309, A087310, A114660, A114663, A114670.
%Y A086786 Row 10 is the same for A113470, A133276, A133277 and listed as A033168.
%K A086786 nonn,tabl
%O A086786 1,2
%A A086786 _Amarnath Murthy_, Sep 02 2003
%E A086786 Edited and extended by _David Wasserman_, Jan 08 2006
%E A086786 Further edits by _N. J. A. Sloane_, Oct 17 2007