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%I #16 May 20 2023 15:47:14
%S 1,3,2,7,5,4,19,13,11,6,71,43,37,17,8,359,193,163,61,23,9,2423,1181,
%T 971,293,89,29,10,21589,9547,7669,1931,463,113,31,12,244481,99523,
%U 78101,16699,3301,619,131,41,14,3413801,1292831,994559,184463,30593,4583,743
%N Dispersion of the odd primes: a rectangular array read by downward antidiagonals.
%C Every positive integer occurs exactly once. As a dispersion, the array is also an interspersion. Column 1 consists of 1, 2, and the composite positive integers. Row 2 is essentially A119533.
%e Corner:
%e 1 3 7 19 71 359 ...
%e 2 5 13 43 193 1181 ...
%e 4 11 37 163 971 7669 ...
%e 6 17 61 293 1931 16699 ...
%e 8 23 89 463 3301 30593 ...
%e 9 29 113 619 4583 44041 ...
%e 10 31 131 743 5653 55711 ...
%e 12 41 181 1091 8753 90403 ...
%e ...
%t t = Map[NestWhileList[Prime[1 + #] &, #, # < 20000000 &, 1, Infinity, -1] &,
%t Complement[Range[Last[#]], #] &[Prime[Range[2, 1000]]]];
%t Grid[Take[t, 15]] (* _Peter J. C. Moses_, Apr 06 2023 *)
%Y Cf. A000040, A065091, A114537 (dispersion of the primes), A114577 (dispersion of the composite numbers).
%K nonn,tabl
%O 1,2
%A _Clark Kimberling_, Apr 08 2023